Exact Analysis of δ-Function Attractive Fermions and Repulsive Bosons in One-Dimension(General)
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概要
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The Gaudin integral equation for the ground state of a one-dimensional δ-function attractive spin-1/2 fermions is solved in the form of power series. The first few terms of the asymptotic expansions for both strong and weak coupling cases are calculated analytically. The physical quantities such as the ground state energy are expressed in terms of a single dimensionless parameter γ=c/D, where c is the coupling constant and D is the number density. The results agree with those obtained from the perturbation calculations, which include the one in the classical electrostatics originally by Kirchhoff. In the strong coupling limit, the connection to the solutions of the Lieb-Liniger integral equation for the ground state of a one-dimensional δ-function repulsive bose gas is shown explicitly.
- 社団法人日本物理学会の論文
- 2005-06-15
著者
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Wadati M
Univ. Tsukuba
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Wadati Miki
Department Of Physics Faculty Of Science University Of Tokyo
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Wadati Miki
Department Of Physics Faculty Of Science Tokyo University Of Science
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Iida Toshiaki
Tokyo Univ. Sci. Tokyo
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Iida Toshiaki
Department Of Physics Faculty Of Science Tokyo University Of Science
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Iida Toshiaki
Department Of Maxillofacial Prosthetics Maxillofacial Reconstruction And Function Division Of Maxill
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Iida Toshiaki
Department Of Bioproduction Faculty Of Agriculture Yamagata University
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