The Quantum Nonlinear Schrodinger Model;Gelfand-Levitan Equation and Classical Soliton
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概要
- 論文の詳細を見る
Through the quantum inverse scattering method the nonlinear Schr6dingermodel is studied for the attractive case. Making use of the bound state operatorsand the quantum Gelfand-Levitan equation, the matrix elements of the fieldoperator 4(x) and the density operator $"(,v)$(.r) are explicitly calculated. Eachmatrix element is found to be expressed in a product form. Based on the results,the connection between classical soliton and the quantum field theory is investi-gated. It is shown that the wave form of the classical soliton is related to thematrix element of the field operator in the limit n -+OO, where n is the particlenumber making the bound state.The powerfulness of the quantum Gelfand-Levitanequation is stressed.
- 社団法人日本物理学会の論文
- 1985-05-15
著者
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Wadati Miki
Institue Of Applied Physics Tsukuba University
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Kuniba Atsuo
Institute Of Physics College Of Arts And Sciences University Of Tokyo
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Konishi Tetsuro
Institute Of Physics College Of Arts And Sciences University Of Tokyo
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Kuniba A
Univ. Tokyo
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