标题： 时变质量分布谐振子的芬伯格-霍罗德斯基态 显示英文标题

标题： Feinberg-Horodecki States of Time-Dependent Mass Distribution Harmonic Oscillator

摘要： 研究了时间相关质量（TDM）谐振子量子系统中Feinberg-Horodecki（FH）方程的解。对质量施加特定相互作用以提供特定的定态能量谱。发现作用于TDM振子上的谐振子势的相关谱。我们应用渐近迭代法（AIM）的时间版本来计算TDM定态能量及其波函数的解析表达式。结果显示，当质量的时间相关性趋于零时，所得到的解会退化为简单谐振子的解。 显示英文摘要

摘要： The solution of the Feinberg-Horodecki (FH) equation for a time-dependent mass (TDM) harmonic oscillator quantum system is studied. A certain interaction is applied to a mass to provide a particular spectrum of stationary energies. The related spectrum of the harmonic oscillator potential acting on the TDM oscillators is found. We apply the time version of the asymptotic iteration method (AIM) to calculate analytical expressions of the TDM stationary state energies and their wave functions. It is shown that the obtained solutions reduce to those of simple harmonic oscillator as the time-dependent of the mass reduces to