A GENERATION OF EXACTLY SOLVABLE ANHARMONIC SYMMETRIC OSCILLATORS

• 来源期刊: 中国物理(英文版)
• 学科: 数学
• 关键词: anharmonic potential double-well potential exact solution
• 年，卷（期）: 2001,（4）
• 页码范围: 277-281
• 页数: 5页
• 分类号: O1
• 语种: 英文

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.