Supersymmetric partners of the truncated harmonic oscillator

被引：2
|
作者：
Fernandez C, David J. [1 ]
Morales-Salgado, V. S. [1 ]
机构：
[1] CINVESTAV, Dept Fis, Mexico City 07000, DF, Mexico
来源：
8TH INTERNATIONAL SYMPOSIUM ON QUANTUM THEORY AND SYMMETRIES (QTS8) | 2014年 / 512卷
关键词：
QUANTUM-MECHANICS; DERIVATIVE SUPERSYMMETRY; FACTORIZATION METHOD; HEISENBERG ALGEBRAS; POTENTIALS; HAMILTONIANS; EQUATION; CHAINS;
D O I：
10.1088/1742-6596/512/1/012024
中图分类号：
O59 [应用物理学];
学科分类号：
摘要：
First and second order supersymmetric transformations are applied to the truncated harmonic oscillator to generate new Hamiltonians with known spectra. We also study the effect of these transformations on the eigenfunctions of the initial Hamiltonian. Finally the link between first and the second order supersymmetric partners of the truncated harmonic oscillator which possess third-order differential ladder operators with the Painleve IV equation is used to obtain several solutions of this non-linear second-order differential equation.
引用
收藏
页数：12
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