Book contents
- Quantum Worlds
- Quantum Worlds
- Copyright page
- Contents
- Contributors
- Preface
- Introduction
- Part I Ontology from Different Interpretations of Quantum Mechanics
- Part II Realism, Wave Function, and Primitive Ontology
- Part III Individuality, Distinguishability, and Locality
- Part IV Symmetries and Structure in Quantum Mechanics
- 14 Spacetime Symmetries in Quantum Mechanics
- 15 Symmetry, Structure, and Emergent Subsystems
- 16 Majorization, across the (Quantum) Universe
- Part V The Relationship between the Quantum Ontology and the Classical World
- Index
- References
14 - Spacetime Symmetries in Quantum Mechanics
from Part IV - Symmetries and Structure in Quantum Mechanics
Published online by Cambridge University Press: 06 April 2019
Book contents
- Quantum Worlds
- Quantum Worlds
- Copyright page
- Contents
- Contributors
- Preface
- Introduction
- Part I Ontology from Different Interpretations of Quantum Mechanics
- Part II Realism, Wave Function, and Primitive Ontology
- Part III Individuality, Distinguishability, and Locality
- Part IV Symmetries and Structure in Quantum Mechanics
- 14 Spacetime Symmetries in Quantum Mechanics
- 15 Symmetry, Structure, and Emergent Subsystems
- 16 Majorization, across the (Quantum) Universe
- Part V The Relationship between the Quantum Ontology and the Classical World
- Index
- References
- Type
- Chapter
- Information
- Quantum WorldsPerspectives on the Ontology of Quantum Mechanics, pp. 269 - 293Publisher: Cambridge University PressPrint publication year: 2019
References
Ardenghi, J. S., Castagnino, M., and Lombardi, O. (2009). “Quantum mechanics: Modal interpretation and Galilean transformations,” Foundations of Physics, 39: 1023–1045.Google Scholar
Arntzenius, F. (1997). “Mirrors and the direction of time,” Philosophy of Science, 64: 213–222.CrossRefGoogle Scholar
Auyang, S. Y. (1995). How Is Quantum Field Theory Possible?. Oxford: Oxford University Press.Google Scholar
Baker, D. (2010). “Symmetry and the metaphysics of physics,” Philosophy Compass, 5: 1157–1166.Google Scholar
Ballentine, L. (1998). Quantum Mechanics: A Modern Development. Singapore: World Scientific.Google Scholar
Bohm, A. and Gadella, M. (1989). Dirac Kets, Gamow Vectors and Gel’fand Triplets. New York: Springer.CrossRefGoogle Scholar
Bose, S. K. (1995). “The Galilean group in 2+1 space-times and its central extension,” Communications in Mathematical Physics, 169: 385–395.CrossRefGoogle Scholar
Brading, K. and Castellani, E. (2007). “Symmetries and invariances in classical physics,” pp. 1331–1367 in Butterfield, J. and Earman, J. (eds.), Philosophy of Physics: Part B. Amsterdam: Elsevier.CrossRefGoogle Scholar
Brown, H. (1999). “Aspects of objectivity in quantum mechanics,” pp. 45–70 in Butterfield, J. and Pagonis, C. (eds.), From Physics to Philosophy. Cambridge: Cambridge University Press.Google Scholar
Brown, H. and Holland, P. (1999). “The Galilean covariance of quantum mechanics in the case of external fields,” American Journal of Physics, 67: 204–214.CrossRefGoogle Scholar
Brown, H., Suárez, M., and Bacciagaluppi, G. (1998). “Are ‘sharp values’ of observables always objective elements of reality?”, pp. 289–306 in Dieks, D. and Vermaas, P. E.. The Modal Interpretation of Quantum Mechanics. Dordrecht: Kluwer Academic Publishers.CrossRefGoogle Scholar
Bub, J. (1997). Interpreting the Quantum World. Cambridge: Cambridge University Press.Google Scholar
Butterfield, J. (2007). “On symplectic reduction in classical mechanics,” pp. 1–131 in Butterfield, J. and Earman, J. (eds.), Philosophy of Physics: Part A. Amsterdam: Elsevier.Google Scholar
Callender, C. (2000). “Is time ‘handed’ in a quantum world?”, Proceedings of the Aristotelian Society, 100: 247–269.Google Scholar
Colussi, V. and Wickramasekara, S. (2008). “Galilean and U(1)-gauge symmetry of the Schrödinger field,” Annals of Physics, 323: 3020–3036.Google Scholar
Costa de Beauregard, O. (1980). “CPT invariance and interpretation of quantum mechanics,” Foundations of Physics, 10: 513–530.Google Scholar
Dürr, D. and Teufel, S. (2009). Bohmian Mechanics: The Physics and Mathematics of Quantum Theory. Dordrecht: Springer.Google Scholar
Earman, J. (1974). “An attempt to add a little direction to ‘The Problem of the Direction of Time’”, Philosophy of Science, 41: 15–47.Google Scholar
Earman, J. (2004). “Laws, symmetry, and symmetry breaking: Invariance, conservation principles, and objectivity,” Philosophy of Science, 71: 1227–1241.CrossRefGoogle Scholar
Kochen, S. and Specker, E. (1967). “The problem of hidden variables in quantum mechanics,” Journal of Mathematics and Mechanics, 17: 59–87.Google Scholar
Kramer, E. (1970). The Nature and Growth of Modern Mathematics. Princeton: Princeton University Press.Google Scholar
Laue, H. (1996). “Space and time translations commute, don’t they?”, American Journal of Physics, 64: 1203–1205.CrossRefGoogle Scholar
Lombardi, O. and Castagnino, M. (2008). “A modal-Hamiltonian interpretation of quantum mechanics,” Studies in History and Philosophy of Modern Physics, 39: 380–443Google Scholar
Lombardi, O., Castagnino, M., and Ardenghi, J. S. (2010). “The modal-Hamiltonian interpretation and the Galilean covariance of quantum mechanics,” Studies in History and Philosophy of Modern Physics, 41: 93–103.Google Scholar
Minkowski, H. (1923). “Space and time,” pp. 75–91 in Perrett, W. and Jeffrey, G. B. (eds.), The Principle of Relativity: A Collection of Original Memoirs on the Special and General Theory of Relativity. New York: Dover.Google Scholar
Nozick, R. (2001). Invariances: The Structure of the Objective World. Harvard: Harvard University Press.Google Scholar
Ohanian, H. and Ruffini, R. (1994). Gravitation and Spacetime, 2nd edition. London: W. W. Norton and Company.Google Scholar
Peterson, D. (2015). “Prospect for a new account of time reversal,” Studies in History and Philosophy of Modern Physics, 49: 42–56.CrossRefGoogle Scholar
Racah, G. (1937). “Sulla simmetria tra particelle e antiparticelle,” Il Nuovo Cimento, 14: 322–326.CrossRefGoogle Scholar
Roberts, B. (2017). “Three myths about time reversal invariance,” Philosophy of Science, 84: 315–334.CrossRefGoogle Scholar
Sakurai, J. J. (1994). Modern Quantum Mechanics. Revised Edition. Reading, MA: Addison-Wesley.Google Scholar
Savitt, S. (1996). “The direction of time,” The British Journal for the Philosophy of Science, 47: 347–370.Google Scholar
Sklar, L. (1974). Space, Time and Spacetime. Berkeley-Los Angeles: University of California Press.Google Scholar
Suppes, P. (2000). “Invariance, symmetry and meaning,” Foundations of Physics, 30: 1569–1585.CrossRefGoogle Scholar
Watanabe, S. (1955). “Symmetry of physical laws. Part 3: Prediction and retrodiction,” Reviews of Modern Physics, 27: 179–186.Google Scholar
Weinberg, S. (1995). The Quantum Theory of Fields, Volume I: Foundations. Cambridge: Cambridge University Press.Google Scholar
Wigner, E. P. (1931/1959). Group Theory and Its Application to the Quantum Mechanics of Atomic Spectra. New York: Academic Press.Google Scholar