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Excitation Spectrum of the Bose Liquid
Phys. Rev. 145, 71 – Published 6 May, 1966
DOI: https://doi.org/10.1103/PhysRev.145.71
Abstract
The assumptions and predictions of the Brueckner-Sawada method (including recent refinements) for the derivation of the excitation spectrum of the high-density boson system are examined using Green's-function techniques and a new method of solving the scattering-matrix equation. In the case of the real interaction potential of atoms, the spectrum obtained in our approximation has the correct form but the depletion has a meaningless value. It is pointed out that a probable cause of discrepancies is inconsistent omission of certain self-energy terms.
References (9)
- P. C. Hohenberg and P. C. Martin, Ann. Phys. (N. Y.) 34, 291 (1965)
- R. P. Feynman, Phys. Rev. 91, 1301 (1953) ibid.94, 262 (1954) R. P. Feynman and M. Cohen, ibid. 102, 1189 (1956)
- K. A. Brueckner and K. Sawada, Phys. Rev. 106, 1117 (1957) ibid.106, 1128 (1957)
- W. E. Parry and D. ter Haar, Ann. Phys. (N.Y.) 19, 496 (1962)
- L. Liu and K. W. Wong, Phys. Rev. 132, 1349 (1963) L. Liu, Lu Sun Liu, and K. W. Wong, ibid. 135, A1166 (1964)
- T. D. Lee, K. Huang, and C. N. Yang, Phys. Rev. 106, 1135 (1957)
- S. T. Beliaev, Zh. Eksperim. i Teor. Fiz. 34, 417 (1958) ibid.34, 433 (1958) [English transls.: Soviet Phys.—JETP 7, 289 (1958) Soviet Phys.—JETP 7, 299 (1958)] A. A. Abrikosov, L. P. Gorkov, and I. E. Dzyaloshinski, Methods of Quantum Field Theory in Statistical Physics (Prentice-Hall, Inc., Englewood Cliffs, New Jersey, 1963)
- R. Haberlandt, Phys. Letters 14, 197 (1965)
- D. G. Henshaw and A. D. B. Woods, Phys. Rev. 121, 1266 (1961)