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Coherent States in the Theory of Superfluidity
Phys. Rev. 167, 183 – Published 5 March, 1968
DOI: https://doi.org/10.1103/PhysRev.167.183
Abstract
It is shown that the coherent-state representation of a many-boson wave function may be identified with the order-parameter function conventionally used to describe a superfluid. The statistical mechanics of the many-boson system is reformulated in terms of the coherent states, and a theory of the Ginzburg-Landau form is recovered in an obvious approximation. The formalism is particularly useful for describing metastable states of finite superflow and the fluctuations which may cause spontaneous decay of such states.
References (27)
- J. S. Langer and M. E. Fisher, Phys. Rev. Letters 19, 560 (1967)
- J. S. Langer and V. Ambegaokar, Phys. Rev. 165, 498 (1967)
- V. L. Ginzburg and L. D. Landau, Zh. Eksperim. i Teor. Fiz. 20, 1064 (1950) P. G. de Gennes, Superconductivity of Metals and Alloys (W. A. Benjamin, Inc., New York, 1966), Chaps. 6 and 7
- E. P. Gross [Nuovo Cimento 20, 454 (1961)] V. L. Ginsburg and L. P. Pitaevskii, Zh. Eksperim. i Teor. Fiz. 34, 1240 (1958) [English transl.: Soviet Phys.—JETP 7, 858 (1958)] L. P. Pitaevskii, Zh. Eksperim. i Teor. Fiz. 40, 646 (1961) [English transl.: Soviet Phys.—JETP 13, 451 (1961)]
- B. D. Josephson, Advan. Phys. 14, 419 (1965)
- P. W. Anderson, Rev. Mod. Phys. 38, 298 (1966)
- J. Bardeen, Rev. Mod. Phys. 34, 667 (1962)
Omitted endnote
- W. A. Little, Phys. Rev. 156, 396 (1967)
- T. M. Rice, Phys. Rev. 140, A1889 (1965)
- P. Hohenberg, Phys. Rev. 158, 383 (1967)
- J. Frenkel, Kinetic Theory of Liquids (Dover Publications, Inc., New York, 1955), Chap. 7
- J. S. Langer, Ann. Phys. (N. Y.) 41, 108 (1967)
- S. V. Iordanskii, Zh. Eksperim. i Teor. Fiz. 48, 708 (1965) [English transl.: Soviet Phys.—JETP 21, 467 (1965)]
- W. F. Vinen, in Proceedings of the International School of Physics, "Enrico Fermi," Course XXI, edited by G. Careri (Academic Press Inc., New York, 1963), p. 336
- J. S. Langer, Phys. Rev. 134, A553 (1964)
Omitted endnote
- R. J. Glauber, Phys. Rev. 131, 2766 (1963)
- P. Carruthers and M. M. Nieto, Am. J. Phys. 33, 537 (1965)
- P. Carruthers and K. S. Dy, Phys. Rev. 147, 214 (1966)
- F. W. Cummings and J. R. Johnston, Phys. Rev. 151, 105 (1966)
- E. P. Gross, Ann. Phys. (N. Y.) 4, 57 (1958)
- P. W. Anderson, [6], p. 300 P. Carruthers and M. M. Nieto (unpublished)
- T. H. Berlin and M. Kac, Phys. Rev. 86, 821 (1952)
- J. S. Langer, Phys. Rev. 137, A1531 (1965)
- T. D. Lee and C. N. Yang, Phys. Rev. 113, 1165 (1959)
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