N=4 Supersymmetric Morse Oscillator and Its Spectrum-Generating Algebra

RUAN Dong ,SUN Hong-Zhou

理论物理通讯 ›› 2005, Vol. 44 ›› Issue (03) : 499-504.

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会计学季刊
Quarterly Journal of Accounting
主办单位:
香港中文大学会计学院
上海财经大学会计学院
南京大学商学院会计学系
ISSN: 3006-1415
PDF(194 KB)
理论物理通讯 ›› 2005, Vol. 44 ›› Issue (03) : 499-504.

N=4 Supersymmetric Morse Oscillator and Its Spectrum-Generating Algebra

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N=4 Supersymmetric Morse Oscillator and Its Spectrum-Generating Algebra

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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.

关键词

generalized Morse oscillator / supersymmetric quantum mechanics / su(1 / 1) / osp(1 / 2)

Key words

generalized Morse oscillator / supersymmetric quantum mechanics / su(1 / 1) / osp(1 / 2)

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RUAN Dong, SUN Hong-Zhou. N=4 Supersymmetric Morse Oscillator and Its Spectrum-Generating Algebra[J]. 理论物理通讯, 2005, 44(03): 499-504
RUAN Dong, SUN Hong-Zhou. N=4 Supersymmetric Morse Oscillator and Its Spectrum-Generating Algebra[J]. Communications in Theoretical Physics, 2005, 44(03): 499-504
中图分类号: 11.30.Na   

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