N = 4 Supersymmetric Morse Oscillator and Its Spectrum-Generating Algebra |
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| Authors: | RUAN Dong SUN Hong-Zhou |
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| Institution: | Department of Physics, Tsinghua University, Beijing 100084, China;Center of Theoretical Nuclear Physics, National Laboratory of Heavy Ion Accelerator, Lanzhou 730000, China;Key Laboratory of Quantum Information and Measurements of Ministry of Education, Tsinghua University, Beijing 100084, China Department of Physics, Tsinghua University, Beijing 100084, China;Center of Theoretical Nuclear Physics, National Laboratory of Heavy Ion Accelerator, Lanzhou 730000, China;Institute of Theoretical Physics, Academia Sinica, Beijing 100080, China |
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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. |
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| Keywords: | generalized Morse oscillator supersymmetric quantum mechanics su(1 1) osp(1 2) |
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