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.
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页码：1067 / 1079
页数：13
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