Spectral Problem of N×N Matrix Differential Operators on the Line
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概要
- 論文の詳細を見る
The spectral problem for the generalized Zakharov-Shabat operator acting on N-vector functions on the line is studied. The eigenvalue problem is transformed to the Fredholm integral equations which yield the Jost solutions meromorphic on the half plane of the complex spectral parameter. Multiplying the Fredholm determinant on the Jost solution, we define the modified Jost solution which becomes regular on the half plane. Some formulas are obtained for the analysis of Fredholm determinants especially in differential operator are presented and the spectrum is obtained. The point spectrum is shown to be the subset of the poles of the Jost solutions, i.e., the set of zeros of the Wronskian of Modified Jost solutions.
- 理論物理学刊行会の論文
- 1986-11-25
著者
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Kato Yusuke
Department Of Applied Biological Chemistry Graduate School Of Agricultural And Life Sciences Univers
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NAKAJIMA Hideo
Research Institute for Fundamental Physics, Kyoto University
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Kato Yusuke
Department Of Engineering Mathematics Utsunomiya University
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Nakajima Hideo
Department Of Engineering Mathematics Faculty Of Engineering Utsunomiya University
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NAKAJIMA Hiroaki
Department of Physics, Chuo University
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KATO Yusuke
Department of Engineering Mathematics Faculty of Engineering, Utsunomiya University
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NAKAJIMA Hideo
Laboratory of Applied Mathematics and Mathematical Physics Department of Information Science, Utsunomiya University
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NAKAJIMA HIDEO
Deparment of Plastic and Reconstructive Surgery, School of Medicine, Keio University
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