Completeness of Bethe Ansatz States in One-Dimensional δ-Function Fermions
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概要
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We study the one-dimensional repulsive δ-function fermion system on an infinite interval. We construct a basis set of the Bethe ansatz eigenstates and show the completeness and the orthonormality of this basis set. We discuss the correspondence between these Bethe ansatz states and the states made by the quantum inverse scattering method. It justifies the method to study thermodynamics by the quantum Gel'fand-Levitan equations. In addition, we evaluate thermodynamic quantities by using the complete set of the Bethe ansatz states and obtain the first two terms of the virial expansions.
- 社団法人日本物理学会の論文
- 1995-12-15
著者
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Wadati Miki
Department Of Physics Faculty Of Science Tokyo University Of Science
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Murakami S
Univ. Tokyo Tokyo
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Murakami Shuichi
Department Of Applied Physics University Of Tokyo
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