Solutions of the Lieb-Liniger Integral Equation(General)
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概要
- 論文の詳細を見る
Proposed is a method of solving the Lieb-Liniger integral equation for a one-dimensional δ-function bose gas at zero temperature. The integral equation reduces to a set of algebraic equations for the coefficients of the series expansion. Fr strong coupling case, a few coefficients are enough to have a good approximation. On the contrary, all the coefficients are in the same order for weak coupling case. The expansion in λ = c/K, where c is the coupling constant and K is the cutoff momentum, is a formal one in the sense that the coefficients may include the divergent sums. However, the physical quantities such as the ground state energy are shown to be finite in γ = c/ρ, where ρ is the number density, which agree with the results of the Bogoliubov theory.
- 社団法人日本物理学会の論文
- 2002-11-15
著者
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Miki Wadati
Department Of Physics Graduate School Of Science University Of Tokyo
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Wadati M
Univ. Tokyo
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Wadati M
Univ. Tsukuba
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Wadati Miki
Department Of Physics Graduate School Science University Of Tokyo
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Wadati Miki
Department Of Physics Graduate School 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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WADATI Miki
Institute of Physics, College of Arts and Sciences University of Tokyo
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WADATI Miki
Institute of Applied Physics, University of Tsukuba
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