Liu Ke-jia 2001 Chinese Phys. 10 277 doi:10.1088/1009-1963/10/4/302
Liu Ke-jia
Show affiliationsUsing the ideas of supersymmetric quantum mechanics, we exactly solve a continuous family of anharmonic potentials, which are the supersymmetric partners of the linear harmonic oscillators. The family includes a series of potentials in which the excited-state energy is the same as that of the harmonic oscillators, but the ground-state energy can be any value lower than the excited states. The shape of the potential is variable, which includes the double-well and triple-well potentials. All the potentials obtained in this paper are free of singularities and the supersymmetry of the solutions is unbroken.
Issue 4 (April 2001)
Received 12 September 2000, in final form 6 December 2000
Liu Ke-jia 2001 Chinese Phys. 10 277
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