数学物理学报(英文版) ›› 1985, Vol. 5 ›› Issue (3): 319-325.

• 论文 • 上一篇    下一篇

QUANTUM MECHANICAL SOLUTION OF A DAMPED HARMONIC OSCILLATOR WITH TIME-DEPENDENT PARAMETERS

徐宏华   

  1. Puduo District Part Time College of Engineering, Shanghai, China
  • 收稿日期:1984-08-31 出版日期:1985-09-25 发布日期:1985-09-25

QUANTUM MECHANICAL SOLUTION OF A DAMPED HARMONIC OSCILLATOR WITH TIME-DEPENDENT PARAMETERS

Xu Honghua   

  1. Puduo District Part Time College of Engineering, Shanghai, China
  • Received:1984-08-31 Online:1985-09-25 Published:1985-09-25

摘要: By means of a time-dependent canonical transformation, the time evolution operator and the wave function of a damped harmonic oscillator with time-dependent parameters are explicitly constructed in the occupation number representation. The expectation values of mechanical variables are then shown to obey the classical equation of motion. Finally, the wave function in the coordinate representation is also derived.

Abstract: By means of a time-dependent canonical transformation, the time evolution operator and the wave function of a damped harmonic oscillator with time-dependent parameters are explicitly constructed in the occupation number representation. The expectation values of mechanical variables are then shown to obey the classical equation of motion. Finally, the wave function in the coordinate representation is also derived.