中国物理B ›› 1999, Vol. 8 ›› Issue (9): 641-645.doi: 10.1088/1004-423X/8/9/001

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ANALYTIC SOLUTION FOR ONE-DIMENSIONAL QUANTUM OSCILLATOR WITH A VARIABLE FREQUENCY

徐秀玮, 任廷琦, 柳盛典   

  1. Department of Physics, Yantai Teachers University, Yantai 264025, China
  • 收稿日期:1999-03-26 出版日期:1999-09-15 发布日期:1999-09-20
  • 基金资助:
    Project supported by the Natural Science Foundation of Shandong Province, China (Grant No. Y95A0202).

ANALYTIC SOLUTION FOR ONE-DIMENSIONAL QUANTUM OSCILLATOR WITH A VARIABLE FREQUENCY

Xu Xiu-wei (徐秀玮), Ren Ting-qi (任廷琦), Liu Sheng-dian (柳盛典)   

  1. Department of Physics, Yantai Teachers University, Yantai 264025, China
  • Received:1999-03-26 Online:1999-09-15 Published:1999-09-20
  • Supported by:
    Project supported by the Natural Science Foundation of Shandong Province, China (Grant No. Y95A0202).

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摘要： According to generalized linear quantum transformation theory, we give the exact expression of the evolution operator, wave function and expectation value of observable quantity for one-dimensional quantum oscillator with a variable frequency: ω(t)={\displaystyle\frac{ω01+βt}(ω0, β>0).

Abstract: According to generalized linear quantum transformation theory, we give the exact expression of the evolution operator, wave function and expectation value of observable quantity for one-dimensional quantum oscillator with a variable frequency: $\omega(t)=\frac{\omega_0}{1+\beta t}(\omega_0, \beta>0)$.

中图分类号:  (Solutions of wave equations: bound states)

  • 03.65.Ge
02.30.Jr (Partial differential equations) 02.30.Tb (Operator theory) 42.50.-p (Quantum optics)