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  • Print publication year: 2015
  • Online publication date: December 2015

4 - Simple examples of second quantization

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Introduction to Many-Body Physics
  • Online ISBN: 9781139020916
  • Book DOI: https://doi.org/10.1017/CBO9781139020916
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[1] P. Jordan and E. Wigner, Über das Paulische Äquivalenzverbot (On the Pauli exclusion principle), Z. Phys., vol. 47, p. 631, 1928.
[2] E. Lieb, T. Schultz, and D. Mattis, Two soluble models of an antiferromagnetic chain, Ann. Phys., vol. 16, no. 3, p. 407, 1961.
[3] J. Hubbard, Electron correlations in narrow energy bands, Proc. R. Soc. A, vol. 276, p. 238, 1963.
[4] M. C. Gutzwiller, Effect of correlation on the ferromagnetism of transition metals, Phys. Rev. Lett., vol. 10, no. 5, p. 159, 1963. The Hubbard model was written down independently by Gutzwiller in equation (11) of this paper.
[5] J. Kanamori, Electron correlation and ferromagnetism of transition metals, Prog. Theor. Phys., vol. 30, no. 3, p. 275, 1963. The Hubbard model, with the modern notation “U” for the interaction, was independently introduced by Kanamori in equation (1) of this paper.
[6] P. W. Anderson, New approach to the theory of superexchange interactions, Phys. Rev., vol. 115, p. 2, 1959.
[7] M. H. Anderson, J. R. Ensher, M. R. Matthews, C. E. Wieman, and E. A. Cornell, Observation of Bose–Einstein condensation in a dilute atomic vapor, Science, vol. 269, p. 198, 1995.
[8] K. B. Davis, M.-O. Mewes, M. R. Andrews, N. J. van Druten, D. S. Durfee, D. M. Kurn, and W. Ketterle, Bose–Einstein condensation in a gas of sodium atoms, Phys. Rev. Lett., vol. 75, p. 3969, 1995.
[9] J. F. Allen and A. D. Misener, The l-phenomenon of liquid helium and the Bose–Einstein degeneracy, Nature, vol. 75, p. 141, 1938.
[10] P. Kapitza, Viscosity of liquid helium below the l-point, Nature, vol. 141, p. 74, 1938.
[11] C. J. Pethick and H. Smith, Bose-Einstein Condensation in Dilute Gases, Cambridge University Press, 2008.