References
Alfsen, E. and Shultz, F. (2001). State Spaces of Operator Algebras. Birkhauser, Boston, MA.
Aliprantis, C. and Border, K. (1999). Infinite Dimensional Analysis: A Hitchhiker’s Guide. Springer, Berlin.
Anzai, H. and Kakutani, S. (1943). Bohr compactifications of a locally compact abelian group I. Proceedings of the Imperial Academy, 19(9):476–480.
Ashtekar, A. and Isham, C. (1992). Inequivalent observable algebras: Another ambiguity in field quantisation. Physics Letters B, 274(3-4):393–398.
Baez, J., Segal, I., and Zhou, Z. (1992). Introduction to Algebraic and Constructive Quantum Field Theory. Princeton University Press, Princeton, NJ.
Barrett, T. W. (2020). Structure and equivalence. Philosophy of Science, 87(5):1184–1196.
Batterman, R. (1991). Chaos, quantization, and the correspondence principle. Synthese, 89(2):189–227.
Batterman, R. (1995). Theories between theories: Asymptotic limiting intertheoretic relations. Synthese, 103(2):171–201.
Batterman, R. (1997). “Into a mist”: Asymptotic theories on a caustic. Studies in the History and Philosophy of Modern Physics, 28(3):395–413.
Batterman, R. (2002). The Devil in the Details: Asymptotic Reasoning in Explanation, Reduction, and Emergence. Oxford University Press, Oxford.
Batterman, R. (2005). Response to Belot’s “Whose devil? Which details?” Philosophy of Science, 72(1):154–163.
Batterman, R. (2018). Autonomy of theories: An explanatory problem. Nous, 52(4):858–873.
Bayen, F., Flato, M., Fronsdal, C., Lichnerowicz, A., and Sternheimer, D. (1978a). Deformation theory and quantization. I. Deformations of symplectic structures. Annals of Physics, 111(1):61–110.
Bayen, F., Flato, M., Fronsdal, C., Lichnerowicz, A., and Sternheimer, D. (1978b). Deformation theory and quantization. II. Physical applications. Annals of Physics, 111(1):111–151.
Beller, M. (1999). Quantum Dialogue. The University of Chicago Press, Chicago.
Belot, G. (2005). Whose devil? Which details? Philosophy of Science, 72(1):128–153.
Belov-Kanel, A., Elishev, A., and Yu, J.-T. (2021). On automorphisms of the tame polynomial automorphism group in positive characteristic. https://arxiv.org/abs/2103.12784. Berry, M. (1994). Asymptotics, singularities and the reduction of theories. In Skyrms, B., Prawitz, D., and Westerståhl, D. (eds.), Logic, Methodology and Philosophy of Science, IX: Proceedings of the Ninth International Congress of Logic, Methodology, and Philosophy of Science, Uppsala, Sweden Aug 7–14, 1991, pages 597–607.
Bieliavsky, P. and Gayral, V. (2015). Deformation Quantization for Actions of Kählerian Lie Groups, volume 236 of Memoirs of the American Mathematical Society. American Mathematical Society, Providence, RI.
Binz, E., Honegger, R., and Rieckers, A. (2004a). Construction and uniqueness of the C*-Weyl algebra over a general pre-symplectic space. Journal of Mathematical Physics, 45(7):2885–2907.
Binz, E., Honegger, R., and Rieckers, A. (2004b). Field-theoretic Weyl quantization as a strict and continuous deformation quantization. Annales de l’Institut Henri Poincaré, 5:327–346.
Bokulich, A. (2008). Reexamining the Quantum-Classical Relation: Beyond Reductionism and Pluralism. Cambridge University Press, Cambridge, UK.
Bordemann, M. and Waldmann, S. (1998). Formal GNS construction and states in deformation quantization. Communications in Mathematical Physics, 195:549–583.
Boyd, R. N. (1973). Realism, underdetermination, and a causal theory of evidence. Noûs, 7(1):1.
Boyd, R. (1989). What realism implies and what it does not. Dialectica, 43(1–2):5–29.
Brading, K. and Landry, E. (2006). Scientific structuralism: Presentation and representation. Philosophy of Science, 73(5):571–581.
Bratteli, O. and Robinson, D. (1987). Operator Algebras and Quantum Statistical Mechanics, volume 1. Springer, New York.
Bratteli, O. and Robinson, D. (1996). Operator Algebras and Quantum Statistical Mechanics, volume 2. Springer, New York.
Browning, T. and Feintzeig, B. (2020). Classical limits of symmetry invariant states and the choice of algebra for quantization. Letters in Mathematical Physics, 110(7):1835–1860.
Browning, T., Feintzeig, B., Gates, R., Librande, J., and Soiffer, R. (2020). Classical limits of unbounded quantities by strict quantization. Journal of Mathematical Physics, 61(11):112305.
Brunetti, R., Dütsch, M., and Fredenhagen, K. (2009). Perturbative algebraic quantum field theory and the renormalization groups. Advances in Theoretical and Mathematical Physics, 13(5):1541–1599.
Brunetti, R., Fredenhagen, K., and Ribeiro, P. L. (2019). Algebraic structure of classical field theory: Kinematics and linearized dynamics for real scalar fields. Communications in Mathematical Physics, 368(2):519–584.
Buchholz, D. (1996a). Phase space properties of local observables and structure of scaling limits. Annales de l’Institut Henri Poincaré, 64(4):433–459.
Buchholz, D. (1996b). Quarks, gluons, colour: Facts or fiction. Nuclear Physics B, 469(1-2):333–353.
Buchholz, D. (2017). The resolvent algebra for oscillating lattice systems: Dynamics, ground and equilibrium states. Communications in Mathematical Physics, 353(2):691–716.
Buchholz, D. (2018). The resolvent algebra of non-relativistic Bose fields: Observables, dynamics and states. Communications in Mathematical Physics, 362(3):949–981.
Buchholz, D. and Fredenhagen, K. (2020a). A C*-algebraic approach to interacting quantum field theories. Communications in Mathematical Physics, 377(2):947–969.
Buchholz, D. and Fredenhagen, K. (2020b). Classical dynamics, arrow of time, and genesis of the Heisenberg commutation relations. Expositiones Mathematicae, 38(2):150–167.
Buchholz, D. and Grundling, H. (2008). The resolvent algebra: A new approach to canonical quantum systems. Journal of Functional Analysis, 254(11):2725–2779.
Buchholz, D. and Grundling, H. (2015). Quantum systems and resolvent algebras. In Blanchard, B. and Fröhlich, J. (eds.), The Message of Quantum Science: Attempts Towards a Synthesis, pages 33–45. Springer, Berlin.
Buchholz, D. and Størmer, E. (2015). Superposition, transition probabilities and primitive observables in infinite quantum systems. Communications in Mathematical Physics, 339(1):309–325.
Buchholz, D. and Verch, R. (1995). Scaling algebras and renormalization group in algebraic quantum field theory. Reviews in Mathematical Physics, 7(8):1195.
Buchholz, D. and Verch, R. (1998). Scaling algebras and renormalization group in algebraic quantum field theory. II. Instructive examples. Reviews in Mathematical Physics, 10(6):775–800.
Bueno, O. (1999). What is structural empiricism? Scientific change in an empiricist setting. Erkenntnis, 50(1):59–85.
Butterfield, J. (2011a). Emergence, reduction, and supervenience: A varied landscape. Foundations of Physics, 41:920–959.
Butterfield, J. (2011b). Less is different: Emergence and reduction reconciled. Foundations of Physics, 41:1065–1135.
Callender, C. and Huggett, N. (eds.) (2001). Physics Meets Philosophy at the Planck Scale. Cambridge University Press, Cambridge, UK.
Cao, T. Y. (2003). Structural realism and the interpretation of quantum field theory. Synthese, 136(1):3–24.
Clifton, R. and Halvorson, H. (2001). Are Rindler quanta real? Inequivalent particle concepts in quantum field theory. British Journal for the Philosophy of Science, 52(3):417–470.
Crowther, K. (2021). Defining a crisis: The role of principles in the search for a theory of quantum gravity. Synthese, 198 (Suppl 14), 3489–3516.
Curd, M., Cover, J., and Pincock, C. (2013). Philosophy of science: The central issues. 2nd edition. W. W. Norton, New York.
Darrigol, O. (1992). From c-Numbers to q-Numbers. University of California Press, Berkeley.
Dewar, N. (2019). Algebraic structuralism. Philosophical Studies, 176(7):1831–1854.
Dewar, N. (2022). Structure and Equivalence. Cambridge University Press, Cambridge, UK.
Dirac, P. (1930). The Principles of Quantum Mechanics. Oxford University Press, Oxford.
Dixmier, J. (1977). C*-Algebras. North Holland, New York.
Duncan, A. and Janssen, M. (2007a). On the verge of Umdeutung in Minnesota: Van Vleck and the correspondence principle. Part one. Archive for History of Exact Sciences, 61(6):553–624.
Duncan, A. and Janssen, M. (2007b). On the verge of Umdeutung in Minnesota: Van Vleck and the correspondence principle. Part two. Archive for History of Exact Sciences, 61(6):625–671.
Duncan, A. and Janssen, M. (2012). (Never) Mind your p’s and q’s: Von Neumann versus Jordan on the foundations of quantum theory. The European Physical Journal H, 38(2):175–259.
Duncan, A. and Janssen, M. (2019). Constructing Quantum Mechanics: Volume 1: The Scaffold: 1900–1923. Oxford University Press, Oxford.
Duncan, A. and Janssen, M. (2022). Quantization conditions, 1900–1927. In Freire, O. (ed.), The Oxford Handbook of the History of Quantum Interpretations, pages 76–94. Oxford University Press, Oxford.
Emch, G. (1972). Algebraic Methods in Statistical Mechanics and Quantum Field Theory. Wiley, New York.
Emch, G. (1983). Geometric dequantization and the correspondence problem. International Journal of Theoretical Physics, 22(5):397–420.
Fannes, M. and Verbeure, A. (1974). On the time evolution automorphisms of the CCR-algebra for quantum mechanics. Communications in Mathematical Physics, 35(3):257–264.
Fedosov, B. (1996). Deformation Quantization and Index Theory. Akademie Verlag, Berlin.
Feintzeig, B. (2015). On broken symmetries and classical systems. Studies in the History and Philosophy of Modern Physics, 52, Part B:267–273.
Feintzeig, B. (2016). Unitary inequivalence in classical systems. Synthese, 193(9):2685–2705.
Feintzeig, B. (2017). On theory construction in physics: Continuity from classical to quantum. Erkenntnis, 82(6):1195–1210.
Feintzeig, B. (2018a). On the choice of algebra for quantization. Philosophy of Science, 85(1):102–125.
Feintzeig, B. (2018b). The classical limit of a state on the Weyl algebra. Journal of Mathematical Physics, 59:112102.
Feintzeig, B. (2018c). Toward an understanding of parochial observables. British Journal for the Philosophy of Science, 69(1):161–191.
Feintzeig, B. (2022). Reductive explanation and the construction of quantum theories. British Journal for Philosophy of Science, 73(2):457–486.
Feintzeig, B., Manchak, J., Rosenstock, S., and Weatherall, J. (2019). Why be regular? Part I. Studies in the History and Philosophy of Modern Physics, 65:122–132.
Feintzeig, B. and Weatherall, J. (2019). Why be regular? Part II. Studies in the History and Philosophy of Modern Physics, 65:133–144.
Feintzeig, B. H. (2020). The classical limit as an approximation. Philosophy of Science, 87(4):612–539.
Feintzeig, B. H., Librande, J., and Soiffer, R. (2021). Localizable particles in the classical limit of quantum field theory. Foundations of Physics, 51(2):49.
Feyerabend, P. (1962). Explanation, reduction, and empiricism. In Feigl, H. and Maxwell, G. (eds.), Minnesota Studies in the Philosophy of Science: Scientific Explanation, Space, and Time, volume 3, pages 28–97. University of Minnesota Press, Minneapolis.
Fine, A. (1988). The Shaky Game: Einstein, Realism, and the Quantum Theory. University of Chicago Press, Chicago.
Forman, P. (1971). Weimar culture, causality, and quantum theory, 1918–1927: Adaptation by German physicists and mathematicians to a hostile intellectual environment. Historical Studies in the Physical Sciences, 3:1–115.
Fraser, D. (2020a). The development of renormalization group methods for particle physics: Formal analogies between classical statistical mechanics and quantum field theory. Synthese, 197:3027–3063.
Fraser, D. (2020b). The non-miraculous success of formal analogies in quantum theories. In French, S. and Saatsi, J., editors, Scientific Realism and the Quantum. Oxford University Press, Oxford.
Fraser, D. and Koberinski, A. (2016). The Higgs mechanism and superconductivity: A case study of formal analogies. Studies in History and Philosophy of Science Part B: Studies in History and Philosophy of Modern Physics, 55:72–91.
Fredenhagen, K. and Rejzner, K. (2015). Perturbative construction of models in algebraic quantum field theory. In Brunetti, R., Dappiaggi, C., Fredenhagen, K., and Yngvason, J., editors, Advances in Algebraic Quantum Field Theory, pages 31–74. Springer, Cham.
Fredenhagen, K. and Rejzner, K. (2016). Quantum field theory on curved spacetimes: Axiomatic framework and examples. Journal of Mathematical Physics, 57(3):031101.
French, S. (2012). Unitary inequivalence as a problem for structural realism. Studies in History and Philosophy of Science Part B: Studies in History and Philosophy of Modern Physics, 43(2):121–136.
French, S. and Ladyman, J. (2003). Remodelling structural realism: Quantum physics and the metaphysics of structure. Synthese, 136(1):31–56.
French, S. and Saatsi, J. (2006). Realism about structure: The semantic view and nonlinguistic representations. Philosophy of Science, 73(5):548–559.
Frigg, R. and Votsis, I. (2011). Everything you always wanted to know about structural realism but were afraid to ask. European Journal for Philosophy of Science, 1(2):227–276.
Gamelin, T. (1969). Uniform Algebras. Prentice Hall, Englewood Cliffs, NJ.
Gotay, M. J. (1980). Functorial geometric quantization and Van Hove’s theorem. International Journal of Theoretical Physics, 19(2):139–161.
Gotay, M. J. (1999). On the Groenewold–Van Hove problem for
. Journal of Mathematical Physics, 40(4):2107–2116.
Gracia-Bondía, J. M. (1992). Generalized Moyal quantization on homogeneous symplectic spaces. Contemporary Mathematic, 134:93–114.
Groenewold, H. (1946). On the principles of elementary quantum mechanics. Physica, 12(7):405–460.
Grundling, H. (1997). A group algebra for inductive limit groups: Continuity problems of the canonical commutation relations. Acta Applicandae Mathematicae, 46:107–145.
Grundling, H. and Neeb, K.-H. (2009). Full regularity for a C*-algebra of the Canonical Commutation Relations. Reviews in Mathematical Physics, 21(5):587–613.
Gutt, S. (1983). An explicit
-product on the cotangent bundle of a Lie group. Letters in Mathematical Physics, 7(3):249–258.
Haag, R. (1992). Local Quantum Physics. Springer, Berlin.
Haag, R. (1993). Local quantum physics and models. Communications in Mathematical Physics, 155(1):199–204.
Haag, R. and Kastler, D. (1964). An algebraic approach to quantum field theory. Journal of Mathematical Physics, 5(7):848–861.
Haag, R. and Ojima, I. (1996). On the problem of defining a specific theory within the frame of local quantum physics. Annales de L’Institut Henri Poincare-physique Theorique, 64(4):385–393.
Halvorson, H. (2001a). On the nature of continuous physical quantities in classical and quantum mechanics. Journal of Philosophical Logic, 30:27–50.
Halvorson, H. (2001b). Reeh–Schlieder defeats Newton–Wigner: On alternative localization schemes in relativistic quantum field theory. Philosophy of Science, 68(1):111–133.
Halvorson, H. (2004). Complementarity of representations in quantum mechanics. Studies in the History and Philosophy of Modern Physics, 35(1):45–56.
Halvorson, H. (2007). Algebraic quantum field theory. In Butterfield, J. and Earman, J., editors, Handbook of the Philosophy of Physics, volume 1, pages 731–864. Elsevier, New York.
Halvorson, H. (2016). Scientific theories. In Humphreys, P., editor, The Oxford Handbook of Philosophy of Science. Oxford University Press, Oxford.
Halvorson, H. and Clifton, R. (2002). No place for particles in relativistic quantum theories? Philosophy of Science, 69(1):1–28.
Hesse, M. (1952). Operational definition and analogy in physical theories. British Journal for Philosophy of Science, 2(8):281–294.
Hesse, M. (1953). Models in physics. British Journal for Philosophy of Science, 4(15):198–214.
Hesse, M. (1961). Forces and Fields: The Concept of Action at a Distance in the History of Physics. Dover, Mineola.
Hesse, M. (1970). Models and Analogies in Science. University of Notre Dame Press Notre Dame, IN.
Hewitt, E. (1953). Linear functionals on almost periodic functions. American Mathematical Society, 74(2):303–322.
Honegger, R. and Rieckers, A. (2005). Some continuous field quantizations, equivalent to the C*-Weyl quantization. Publications of the Research Institute for Mathematical Sciences, Kyoto University, 41(1):113–138.
Honegger, R., Rieckers, A., and Schlafer, L. (2008). Field-theoretic Weyl deformation quantization of enlarged Poisson algebras. Symmetry, Integrability and Geometry: Methods and Applications, 4:047–084.
Howard, D. (1986). What makes a classical concept classical? Toward a reconstruction of Niels Bohr’s philosophy of physics. In Niels Bohr and Contemporary Philosophy, pages 201–229. Kluwer Academic Publishers, New York.
Hudetz, L. (2019). Definable categorical equivalence. Philosophy of Science, 86(1):47–75.
Jacobs, C. (2021). The coalescence approach to inequivalent representation: Pre-QM
parallels. The British Journal for the Philosophy of Science. DOI: https://doi.org/10.1086/715108. Jammer, M. (1966). The Conceptual Development of Quantum Mechanics. McGraw-Hill, New York.
Kadison, R. and Ringrose, J. (1997). Fundamentals of the Theory of Operator Algebras. American Mathematical Society, Providence, RI.
Kaschek, D., Neumaier, N., and Waldmann, S. (2009). Complete positivity of Rieffel’s deformation quantization by actions of
. Journal of Noncommutative Geometry, 3(3):361–375.
Kay, B. (1979). A uniqueness result in the Segal-Weinless approach to linear Bose fields. Journal of Mathematical Physics, 20(8):1712–3.
Kay, B. (1985). The double-wedge algebra for quantum fields on Schwarzschild and Minkowski spacetimes. Communications in Mathematical Physics, 100(1):57–81.
Kay, B. and Wald, R. (1991). Theorems on the uniqueness and thermal properties of stationary, nonsingular, quasifree states on spacetimes with a bifurcate killing horizon. Physics Reports, 207(2):49–136.
Kirchberg, E. and Wasserman, S. (1995). Operations on continuous bundles of C*-algebras. Mathematische Annalen, 303(4):677–697.
Kontsevich, M. (2003). Deformation quantization of Poisson manifolds. Letters in Mathematical Physics, 66(3):157–216.
Kuhn, T. (1970[1962]). The Structure of Scientific Revolutions. 2nd edition. University of Chicago Press, Chicago.
Kuhn, T. S. (1984). Revisiting Planck. Historical Studies in the Physical Sciences, 14(2):231–252.
Kuhn, T. S. (1987). Black-Body Theory and the Quantum Discontinuity, 1894–1912. The University of Chicago Press, Chicago.
Ladyman, J. (1998). What is structural realism? Studies in History and Philosophy of Science Part A, 29(3):409–424.
Landsman, N. P. (1990a). C*-algebraic quantization and the origin of topological quantum effects. Letters in Mathematical Physics, 20:11–18.
Landsman, N. P. (1990b). Quantization and superselection sectors I. Transformation group C*-algebras. Reviews in Mathematical Physics, 2(1):45–72.
Landsman, N. P. (1993). Strict deformation quantization of a particle in external gravitational and Yang–Mills fields. Journal of Geometry and Physics, 12(2):93–132.
Landsman, N. P. (1998a). Mathematical Topics between Classical and Quantum Mechanics. Springer, New York.
Landsman, N. P. (1998b). Twisted Lie group C*-algebras as strict quantizations. Letters in Mathematical Physics, 46:181–188.
Landsman, N. P. (1999). Lie groupoid C*-algebras and Weyl quantization. Communications in Mathematical Physics, 206(2):367–381.
Landsman, N. P. (2003). Quantization as a functor. In Voronov, T., editor, Quantization, Poisson Brackets and beyond, pages 9–24. Contemporary Mathematics, 315, AMS. DOI: https://doi.org/10.1090/conm/315. Landsman, N. P. (2007). Between classical and quantum. In Butterfield, J. and Earman, J., editors, Handbook of the Philosophy of Physics, volume 1, pages 417–553. Elsevier, New York.
Landsman, N. P. (2013). Spontaneous symmetry breaking in quantum systems: Emergence or reduction? Studies in the History and Philosophy of Modern Physics, 44(4):379–394.
Landsman, N. P. (2017). Foundations of Quantum Theory: From Classical Concepts to Operator Algebras. Springer, Cham.
Landsman, N. P. and Reuvers, R. (2013). A flea on Schrödinger’s cat. Foundations of Physics, 43(3):373–407.
Laudan, L. (1980). Why was the logic of discovery abandoned? In Nickles, T., editor, Scientific Discovery, Logic, and Rationality, pages 173–183. Dordrecht Reidel, Dordrecht.
Laudan, L. (1981). A confutation of convergent realism. Philosophy of Science, 48(1):19–49.
Lee, R.-Y. (1976). On the C*-algebras of operator fields. Indiana University Mathematics Journal, 25(4):303.
Mackey, G. (1949). A theorem of Stone and von Neumann. Duke Mathematical Journal, 16(2):313–326.
Mackey, G. W. (1968). Induced Representations of Groups and Quantum Mechanics. W. A. Benjamin, Inc., New York.
Malament, D. (1996). In defense of dogma – why there cannot be a relativistic quantum mechanical theory of (localizable) particles. In Clifton, R., editor, Perspectives on Quantum Reality. Kluwer Academic Publishers, Amsterdam.
Manuceau, J., Sirugue, M., Testard, D., and Verbeure, A. (1974). The smallest C*-algebra for the canonical commutation relations. Communications in Mathematical Physics, 32:231–243.
Marsden, J. and Weinstein, M. (1974). Reduction of symplectic manifolds with symmetry. Reports on Mathematical Physics, 5(1):121–30.
Martinez, A. (2002). An Introduction to Semiclassical and Microlocal Analysis. Springer, New York.
Mazzucchi, S. (2009). Mathematical Feynman Path Integrals and Their Applications. World Scientific, Hackensack, NJ.
Moyal, J. E. (1949). Quantum mechanics as a statistical theory. Mathematical Proceedings of the Cambridge Philosophical Society, 45(1):99–124.
Murray, F. J. and von Neumann, J. (1936). On rings of operators. The Annals of Mathematics, 37(1):116.
Nagel, E. (1961). The Structure of Science. Harcourt, Brace & World, New York.
Nagel, E. (1998). Issues in the logic of reductive explanations. In Curd, M. and Cover, J., editors, Philosophy of Science: The Central Issues, pages 905–921. W. W. Norton & Co., New York.
Nickles, T. (1973). Two concepts of intertheoretic reduction. Journal of Philosophy, 70:181–201.
Nickles, T. (1985). Beyond divorce: Current status of the discovery debate. Philosophy of Science, 52(2):177–206.
Peskin, M. E. and Schroeder, D. V. (1995). An Introduction to Quantum Field Theory. Perseus Books, New York.
Petz, D. (1990). An Invitation to the Algebra of Canonical Commutation Relations. Leuven University Press, Leuven.
Popper, K. (1959). The Logic of Scientific Discovery. Hutchinson, London.
Post, H. (1971). Correspondence, invariance, and heuristics: In praise of conservative induction. Studies in the History and Philosophy of Modern Science, 2(3):213–255.
Primas, H. (1998). Emergence in exact natural sciences. Acta Polytechnica Scandinavica, 91:83–98.
Psillos, S. (2001). Is structural realism possible? Philosophy of Science, 68(S3):S13–S24.
Radder, H. (1991). Heuristics and the generalized correspondence principle. British Journal for the Philosophy of Science, 42(2):195–226.
Reed, M. and Simon, B. (1975). Methods of Modern Mathematical Physics II: Fourier Analysis, Self-Adjointness. Academic Press, New York.
Reichenbach, H. (1938). Experience and Prediction. An Analysis of the Foundations and the Structure of Knowledge. University of Chicago Press, Chicago.
Rejzner, K. (2016). Perturbative Algebraic Quantum Field Theory: An Introduction for Mathematicians. Springer, New York.
Rejzner, K. (2019). Locality and causality in perturbative algebraic quantum field theory. Journal of Mathematical Physics, 60(12):122301.
Rieffel, M. (1989). Deformation quantization of Heisenberg manifolds. Communications in Mathematical Physics, 122(4):531–562.
Rieffel, M. (1993). Deformation quantization for actions of
. Memoirs of the American Mathematical Society. American Mathematical Society, Providence, RI.
Rohrlich, F. (1990). There is good physics in theory reduction. Foundations of Physics, 20(11):1399–1412.
Romano, D. (2016). Bohmian classical limit in bounded regions. In Felline, L., Ledda, A., Paoli, F., and Rossanese, E., editors, New Directions in Logic and the Philosophy of Science, volume 3 of SILFS, pages 303–318. London, College Publications.
Rosaler, J. (2015a). “Formal” versus “empirical” approaches to quantum-classical reduction. Topoi, 34(2):325–338.
Rosaler, J. (2015b). Is de Broglie–Bohm theory specially equipped to recover classical behavior? Philosophy of Science, 82(5):1175–1187.
Rosaler, J. (2016). Interpretation neutrality in the classical domain of quantum theory. Studies in the History and Philosophy of Modern Physics, 53:54–72.
Rosaler, J. (2018). Generalized Ehrenfest relations, deformation quantization, and the geometry of inter-model reduction. Foundations of Physics, 48(3):355–385.
Rosenstock, S., Barrett, T., and Weatherall, J. (2015). On Einstein algebras and relativistic spacetimes. Studies in the History and Philosophy of Modern Physics, 52B:309–316.
Rosenstock, S. and Weatherall, J. (2016). A categorical equivalence between generalized holonomy maps on a connected manifold and principal connections on bundles over that manifold. Journal of Mathematical Physics, 57(10):102902.
Rudin, W. (1962). Fourier Analysis on Groups. Wiley & Sons, Inc., Hoboken, NJ.
Ruetsche, L. (2002). Interpreting quantum field theory. Philosophy of Science, 69(2):348–378.
Ruetsche, L. (2003). A matter of degree: Putting unitary inequivalence to work. Philosophy of Science, 70(5):1329–1342.
Ruetsche, L. (2006). Johnny’s so long at the ferromagnet. Philosophy of Science, 73(5):473–486.
Ruetsche, L. (2011). Interpreting Quantum Theories. Oxford University Press, New York.
Sakai, S. (1971). C*-Algebras and W*-Algebras. Springer, New York.
Sakurai, J. (1994). Modern Quantum Mechanics. Addison-Wesley, New York.
Scheibe, E. (1986). The Comparison of scientific theories. Interdisciplinary Science Reviews, 11(2):148–152.
Scheibe, E. (1999). Die Reduktion physikalischer Theorien. Springer, Berlin.
Segal, I. (1963). Mathematical Problems of Relativistic Physics. American Mathematical Society, Providence, RI.
Slawny, J. (1972). On factor representations and the C*-algebra of canonical commutation relations. Communications in Mathematical Physics, 24(2):151–170.
Stanford, P. K. (2003). No refuge for realism: Selective confirmation and the history of science. Philosophy of Science, 70(5):913–925.
Stanford, P. K. (2006). Exceeding Our Grasp. Oxford University Press, New York.
Steeger, J. and Feintzeig, B. (2021a). Extensions of bundles of C*-algebras. Reviews in Mathematical Physics, 33(8):2150025.
Steeger, J. and Feintzeig, B. H. (2021b). Is the classical limit “singular”? Studies in History and Philosophy of Science Part A, 88:263–279.
Stein, H. (1981). “Subtler forms of matter” in the period following Maxwell. In Cantor, G. and Hodge, M., editors, Conceptions of Ether: Studies in the History of Ether Theories 1740–1900, pages 309–340. Cambridge University Press, Cambridge, UK.
Stein, H. (1987). After the Baltimore Lectures: Some philosophical reflections on the subsequent development of physics. In Achinstein, P. and Kargon, R., editors, Kelvin’s Baltimore Lectures and Modern Theoretical Physics, pages 375–398. Massachusetts Institute of Technology Press, Cambridge, MA.
Sternberg, S. (1977). Minimal coupling and the symplectic mechanics of a classical particle in the presence of a Yang–Mills field. Proceedings of the National Academy of the Sciences, 74(12):5253–4.
Summers, S. (1999). On the Stone–von Neumann uniqueness theorem and its ramifications. In Redei, M. and Stoeltzner, M., editors, John von-Neumann and the Foundations of Quantum Physics, pages 135–152. Kluwer, Dordrecht.
Swanson, N. (2019). Deciphering the algebraic CPT theorem. Studies in History and Philosophy of Science Part B: Studies in History and Philosophy of Modern Physics, 68:106–125.
Teller, P. (1979). Quantum mechanics and the nature of continuous physical quantities. Journal of Philosophy, 76(7):345–361.
Thébault, K. P. Y. (2016). Quantization as a guide to ontic structure. The British Journal for the Philosophy of Science, 67(1):89–114.
van Hove, L. (1951). Sur le problème des relations entre les transformations unitaires de la mécanique quantique et les transformations canoniques dela mécanique classique. Academie Royale de Belgique, Bulletin Classe des Sciences Memoires, 5(37):610–620.
van Nuland, T. D. H. (2019). Quantization and the resolvent algebra. Journal of Functional Analysis, 277(8):2815–2838.
von Neumann, J. (1932). Mathematical Foundations of Quantum Mechanics. Princeton University Press, Princeton, NJ. English translation published 1955.
Waldmann, S. (2005). States and representations in deformation quantization. Reviews in Mathematical Physics, 17(1):15–75.
Waldmann, S. (2010). Positivity in Rieffel’s strict deformation quantization. In XVIth International Congress on Mathematical Physics, Prague, Czech Republic, August 3–8,2009. With DVD, pages 509–513. World Scientific, Hackensack, NJ.
Waldmann, S. (2016). Recent developments in deformation quantization. In Finster, F., Kleiner, J., Röken, C., Tolksdorf, J., editors, Quantum Mathematical Physics. Birkhäuser, Cham.
Waldmann, S. (2019). Convergence of star products: From examples to a general framework. EMS Surveys in Mathematical Sciences, 6(1):1–31.
Wallace, D. (2001). Emergence of particles from bosonic quantum field theory. Unpublished. arXiv: quant-ph/0112149v1.
Wallace, D. (2006). In defence of naiveté: The conceptual status of Lagrangian quantum field theory. Synthese, 151(1):33–80.
Wallace, D. (2011). Taking particle physics seriously: A critique of the algebraic approach to quantum field theory. Studies in the History and Philosophy of Modern Physics, 42(2):116–125.
Weatherall, J. (2021). Why not categorical equivalence? In Madarász, Judit, Székely, Gergely, editors, Hajnal Andréka and István Németi on Unity of Science, p. 427–451, Springer Cham.
Weatherall, J. O. (2019a). Part 1: Theoretical equivalence in physics. Philosophy Compass, 14(5).
Weatherall, J. O. (2019b). Part 2: Theoretical equivalence in physics. Philosophy Compass, 14(5).
Weinless, M. (1969). Existence and uniqueness of the vacuum for linear quantized fields. Journal of Functional Analysis, 4(3):350–379.
Weinstein, M. (1978). A universal phase space for particles in Yang–Mills fields. Letters in Mathematical Physics, 2:417–20.
Weyl, H. (1950). The Theory of Groups and Quantum Mechanics. Dover, Mineola.
Wigner, E. (1959). Group Theory and Its Application to the Quantum Mechanics of Atomic Spectra. Academic Press, Cambridge, MA.
Williams, P. (2018). Scientific realism made effective. British Journal for Philosophy of Science, 70(1):209–237.
Woodhouse, N. M. J. (1997). Geometric Quantization. Oxford University Press, Oxford.
Worrall, J. (1989). Structural realism: The best of both worlds? Dialectica, 43(1–2):99–124.
Yaghmaie, A. (2021). Deformation quantization as an appropriate guide to ontic structure. Synthese, 198:10793–10815.
Zahar, E. (1983). Logic of discovery or psychology of invention? British Journal for Philosophy of Science, 34(3):243–61.
Zalamea, F. (2018). The twofold role of observables in classical and quantum kinematics. Foundations of Physics, 48(9):1061–1091.
Zworski, M. (2012). Semiclassical Analysis. American Mathematical Society, Providence, RI.
