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
相关论文
共 50 条
  • [41] MODEL FOR SUPERSYMMETRIC RELATIVISTIC OSCILLATOR
    BARDUCCI, A
    DOMINICI, D
    NUOVO CIMENTO DELLA SOCIETA ITALIANA DI FISICA A-NUCLEI PARTICLES AND FIELDS, 1977, 37 (04): : 385 - 398
  • [42] Higher order supersymmetric truncated oscillators
    Fernandez C, David J.
    Said Morales-Salgado, Vicente
    ANNALS OF PHYSICS, 2018, 388 : 122 - 134
  • [43] A SUPERSYMMETRIC ANHARMONIC-OSCILLATOR
    MUSIN, YR
    IZVESTIYA VYSSHIKH UCHEBNYKH ZAVEDENII FIZIKA, 1990, 33 (05): : 28 - 32
  • [44] SUPERSYMMETRIC OSCILLATOR AND THE PHASE PROBLEM
    RAGHUNATHAN, K
    SANTHANAM, TS
    PHYSICAL REVIEW D, 1986, 33 (12): : 3790 - 3791
  • [45] A new deformed supersymmetric oscillator
    Meljanac, S
    Milekovic, M
    Perica, A
    EUROPHYSICS LETTERS, 1996, 33 (03): : 175 - 179
  • [46] The eikonal phase of supersymmetric Coulomb partners
    Lassaut, M
    Bulboaca, I
    Lombard, RJ
    JOURNAL OF PHYSICS A-MATHEMATICAL AND GENERAL, 1998, 31 (38): : 7801 - 7808
  • [47] The Harmonic Oscillator
    Parmeggiani, Alberto
    SPECTRAL THEORY OF NON-COMMUTATIVE HARMONIC OSCILLATORS: AN INTRODUCTION, 2010, 1992 : 7 - 13
  • [48] SUPERSYMMETRIC PARTNERS FOR RANDOM-WALKS
    JAUSLIN, HR
    PHYSICAL REVIEW A, 1990, 41 (06): : 3407 - 3410
  • [49] Supersymmetric Partners for the Associated Lame Potentials
    Fernandez, D. J.
    Ganguly, A.
    PHYSICS OF ATOMIC NUCLEI, 2010, 73 (02) : 288 - 294
  • [50] Hypergeometric type operators and their supersymmetric partners
    Cotfas, Nicolae
    Cotfas, Liviu Adrian
    JOURNAL OF MATHEMATICAL PHYSICS, 2011, 52 (05)
12345