Crum's Theorem for 'Discrete' Quantum Mechanics

被引：33

作者：

Odake, Satoru ^{[1
]}

Sasaki, Ryu ^{[2
]}

机构：

[1] Shinshu Univ, Dept Phys, Matsumoto, Nagano 3908621, Japan

[2] Kyoto Univ, Yukawa Inst Theoret Phys, Kyoto 6068502, Japan

来源：

PROGRESS OF THEORETICAL PHYSICS | 2009年 / 122卷 / 05期

关键词：

SHAPE INVARIANT POTENTIALS; OSCILLATOR; SYSTEMS;

D O I：

10.1143/PTP.122.1067

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

In one-dimensional quantum mechanics, or the Sturm-Liouville theory, Crum's theorem. describes the relationship between the original and the associated Hamiltonian systems, which are iso-spectral except for the lowest energy state. Its counterpart in 'discrete' quantum mechanics is formulated algebraically, elucidating the basic structure of the discrete quantum mechanics, whose Schrodinger equation is a difference equation.

引用

页码：1067 / 1079

页数：13

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