中国物理B ›› 2001, Vol. 10 ›› Issue (4): 277-281.doi: 10.1088/1009-1963/10/4/302
刘克家
Liu Ke-jia (刘克家)
摘要: Using 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.
中图分类号: (Solutions of wave equations: bound states)