English

应用科学学报 ›› 1995, Vol. 13 ›› Issue (4): 419-426.

• 论文 • 上一篇    下一篇

普遍的量子非简谐振子

沈文达1, 章介伦1, 丁胜1, R D KHAN1, 王世涛2   

  1. 1. 上海大学嘉定校区;
    2. 上海教育学院
  • 收稿日期:1993-06-07 出版日期:1995-12-31 发布日期:1995-12-31

A GENERALIZED QUANTUM ANHARMONIC OSCILLATOR SHEN WENDA

SHEN DAWEN1, ZHANG JIALUN1, DENG SHENG1, R D KHAN1, WANG SHENGTAO2   

  1. 1. Shenghai University, Jiading Campus;
    2. Shanghai Institute of Education
  • Received:1993-06-07 Online:1995-12-31 Published:1995-12-31

PDF

97

摘要： 文中研究了与速度有关的受迫非简谐振子,利用叠代技术和积分算符获得了它的严格解,研究中利用了振子的升降算符的算子形式,得到了振子位置和动量算符时间演化的表达式,它是以适当函数的拉普拉斯变换和随后的拉普拉斯逆变换的形式出现的。

Abstract: A velocity-dependent quantum forced an harmonic cscillator is studied,and its exact solution is obtained by adopting the iteration mothod and the integral operators.The studyis carried on in operational form via the raising and lowering operators of the oseillator.The time developnment of the displacement and momentum operators of the quantum anharmonic osoillator is presented in shape of a Laplace transform and a subsequent inverse Laplace transform of suitable functionals.