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4 - Simple examples of second quantization

Published online by Cambridge University Press:  05 December 2015

Piers Coleman
Affiliation:
Rutgers University, New Jersey
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Publisher: Cambridge University Press
Print publication year: 2015

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References

[1] P., Jordan and E., Wigner, Über das Paulische Äquivalenzverbot (On the Pauli exclusion principle), Z. Phys., vol. 47, p. 631, 1928.Google Scholar
[2] E., Lieb, T., Schultz, and D., Mattis, Two soluble models of an antiferromagnetic chain, Ann. Phys., vol. 16, no. 3, p. 407, 1961.Google Scholar
[3] J., Hubbard, Electron correlations in narrow energy bands, Proc. R. Soc. A, vol. 276, p. 238, 1963.Google Scholar
[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.Google Scholar
[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.Google Scholar
[6] P. W., Anderson, New approach to the theory of superexchange interactions, Phys. Rev., vol. 115, p. 2, 1959.Google Scholar
[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.Google Scholar
[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.Google Scholar
[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.Google Scholar
[10] P., Kapitza, Viscosity of liquid helium below the l-point, Nature, vol. 141, p. 74, 1938.Google Scholar
[11] C. J., Pethick and H., Smith, Bose-Einstein Condensation in Dilute Gases, Cambridge University Press, 2008.

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