Volume 11, Issue 3, August 2004, Pages 361 - 375
Superalgebras for the 3D Harmonic Oscillator and Morse Quantum Potentials
Received 16 November 2003, Accepted 15 March 2004, Available Online 1 August 2004.
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- In addition to obtaining supersymmetric structure related to the partner Hamiltonans, we get another supersymmetric structure via factorization method for both the 3D harmonic oscillator and Morse quantum potentials. These two supersymmetries induce also an additional supersymmetric structure involving simultaneous laddering relations with respect to two different parameters for both models. These lead to the realizing of Heisenberg Lie superalgebras with two, four and six supercharges.
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TY - JOUR AU - H FAKHRI PY - 2004 DA - 2004/08 TI - Superalgebras for the 3D Harmonic Oscillator and Morse Quantum Potentials JO - Journal of Nonlinear Mathematical Physics SP - 361 EP - 375 VL - 11 IS - 3 SN - 1776-0852 UR - https://doi.org/10.2991/jnmp.2004.11.3.7 DO - https://doi.org/10.2991/jnmp.2004.11.3.7 ID - FAKHRI2004 ER -