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Fermionic perturbation theory for the statistical mechanics of the nonlinear Schrödinger model

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Abstract

A fermionic perturbation theory is developed for the statistical mechanics of the nonlinear Schrödinger model. The theory is based on an interacting-fermion picture of the Bethe wave function. The inner product of the Bethe wave function is explicitly evaluated, and a simple graphical representation of it is given. The basic equations obtained for the free energy agree with those of Yang and Yang. In particular, the present theory gives a clear-cut meaning to the ɛ function of Yang and Yang: It represents a fermion energy at finite temperatures.

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Author notes

  1. S. G. Chung

    Present address: Department of Physics and Astronomy, State University of New York at Buffalo, 14260, New York

Authors and Affiliations

  1. Department of Physics, University of Illinois at Urbana-Champaign, 1110 W. Green Street, 61801, Urbana, Illinois

    S. G. Chung

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  1. S. G. Chung
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Chung, S.G. Fermionic perturbation theory for the statistical mechanics of the nonlinear Schrödinger model. J Stat Phys 40, 303–328 (1985). https://doi.org/10.1007/BF01010538

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  • DOI: https://doi.org/10.1007/BF01010538

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