Friedrichs-Berezin Transformation and Its Application to the Spectral Analysis of the BCS Reduced Hamiltonian
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概要
- 論文の詳細を見る
Friedrichs and Berezin's theory on the diagonalization of boson quadratic Hamiltonian is reformulated, and is generalized so as to enable its application to the spectral analysis of Bardeen, Cooper and Schrieffer's reduced Hamiltonian in the theory of superconductivity. The generalization consists in allowing an operator, assumed as strictly positive in the original theory, to have zero and negative eigenvalues with finite multiplicity. It is found that if the operator has only an additional zero eigenvalue the quadratic Hamiltonian remains lower semi-bounded, while it is necessarily unbounded if a negative eigenvalue appears. The BCS reduced Hamiltonian, or rather its equivalent boson Hamiltonian, with a separable interaction falls under the former case. A similar reformulation for fermion quadratic Hamiltonian is also appended.
- 理論物理学刊行会の論文
- 1967-10-25
著者
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MUGIBAYASHI Nobumichi
Department of Electrical and Electronic Engineering,Faculty of Engineering,Kobe University
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KATO Yusuke
Physics Laboratory, Faculty of Education, Kobe University
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Kato Yusuke
Physics Laboratory Faculty Of Education Kobe University : The Department Of Engineering Mathematics
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Kato Yusuke
Physics Laboratory Faculty Of Education Kobe University
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