Modification of Crum's Theorem for 'Discrete' Quantum Mechanics(General and Mathematical Physics)

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概要

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• Crum's theorem in one-dimensional quantum mechanics asserts the existence of an associated Hamiltonian system for any given Hamiltonian with the complete set of eigenvalues and eigenfunctions. The associated system is iso-spectral to the original one except for the lowest energy state, which is deleted. A modification due to Krein-Adler provides algebraic construction of a new complete Hamiltonian system by deleting a finite number of energy levels. Here we present a discrete version of the modification based on Crum's theorem for the 'discrete' quantum mechanics developed by two of the present authors.

• 2010-07-25

著者

• GARCIA-GUTIERREZ Leonor

  Yukawa Institute for Theoretical Physics, Kyoto University

• ODAKE Satoru

  Department of Physics, Shinshu University

• SASAKI Ryu

  Yukawa Institute for Theoretical Physics, Kyoto University

• Sasaki R

  Kyoto Univ. Kyoto Jpn

• Sasaki Ryu

  Yukawa Institute For Theoretical Physics Kyoto University

• Odake Satoru

  Department Of Physics Faculty Of Liberal Arts Shinshu University

• Garcia-gutierrez Leonor

  Yukawa Institute For Theoretical Physics Kyoto University

• SASAKI Ryu

  Uji Research Center, Yukawa Institute for Theoretical Physics Kyoto University:Department of Mathematical Sciences, University of Durham

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