SUSY BREAKING IN CELKA-HUSSIN'S GENERAL 3D MODEL OSCILLATOR HAMILTONIAN AND THE WIGNER PARAMETER

Author:

JAYARAMAN J.1,DE LIMA RODRIGUES R.2

Affiliation:

1. Departamento de Física (CCEN), Universidade Federal da Paraíba, Campus I, João Pessoa-PB, 58.059-970, Brazil

2. Departamento de Ciências Exatas e da Natureza, Universidade Federal da Paraíba, Campus V, Cajazeiras-PB, 58.900-000, Brazil

Abstract

The free parameter of the generalized 3D SUSY model oscillator Hamiltonian of Celka and Hussin is identified here with the Wigner parameter of a related super-realized general 3D Wigner oscillator system satisfying a super-generalized quantum commutation rule. The super-oscillator technique is then advantageously employed to determine fully a previously only partially given spectrum by Celka and Hussin for their Hamiltonian. The dependence of the spectrum on the Wigner parameter and the consequent occurrence of exceptional SUSY breakings in the model are clearly brought out.

Publisher

World Scientific Pub Co Pte Lt

Subject

General Physics and Astronomy,Astronomy and Astrophysics,Nuclear and High Energy Physics

Cited by 6 articles. 订阅此论文施引文献 订阅此论文施引文献,注册后可以免费订阅5篇论文的施引文献,订阅后可以查看论文全部施引文献

1. SUPERCONFORMAL QUANTUM MECHANICS VIA WIGNER–HEISENBERG ALGEBRA;Modern Physics Letters A;2010-09-21

2. On the hydrogen atom via the Wigner–Heisenberg algebra;Journal of Physics A: Mathematical and Theoretical;2009-08-17

3. A class of double-well like potentials in 1 + 1 dimensions via SUSY QM;Journal of Physics A: Mathematical and General;1999-01-01

4. SUSY QM and solitons from two coupled scalar fields in two dimensions;Physical Review D;1998-11-19

5. Reducibility of supersymmetric quantum mechanics;International Journal of Theoretical Physics;1997-09

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