N = 4 Supersymmetric Morse Oscillator and Its Spectrum-Generating Algebra |
| |
| Authors: | RUAN;Dong;SUN;Hong-Zhou |
| |
| Institution: | 1. Department of Physics, Tsinghua University, Beijing 100084, China
;2. Center of Theoretical Nuclear Physics, National Laboratory of
Heavy Ion Accelerator, Lanzhou 730000, China
;3. Key Laboratory of Quantum Information and Measurements
of Ministry of Education, Tsinghua University, Beijing 100084, China
;4. Institute of Theoretical Physics, Academia Sinica,
Beijing 100080, China |
| |
| Abstract: | In this paper N=4 supersymmetry of generalized Morse oscillators in
one dimension is studied. Both bound states and scattering states of its four
superpartner Hamiltonians are analyzed by using unitary irreducible representations of the noncompact Lie algebra su(1,1). The spectrum-generating algebra governing the Hamiltonian of the N=4
supersymmetric Morse oscillator is shown to be connected with the realization of Lie
superalgebra osp(1,2) or B(0,1) in terms of the variables of
a supersymmetric two-dimensional harmonic oscillator. |
| |
| Keywords: | generalized Morse oscillator supersymmetric quantum mechanics su(1 1) osp(1 2) |
| 本文献已被 维普 等数据库收录！ |
| 点击此处可从《理论物理通讯》浏览原始摘要信息 |
| 点击此处可从《理论物理通讯》下载免费的PDF全文 |
|
