Propagator and exact wave function of the time-dependently damped harmonic oscillator

被引:6
|
作者
Ling, RL [1 ]
机构
[1] Changshu Teachers Coll, Dept Phys, Changshu 215500, Peoples R China
关键词
time-dependent damping; propagator; Feynman's path integral;
D O I
10.7498/aps.50.1421
中图分类号
O4 [物理学];
学科分类号
0702 ;
摘要
By means of canonical transformation, a direct quantization scheme is found for a harmonic oscillator whose damping coefficient is time-dependent. By adopting the Gaussian-type propagator and Feynman's path integral method, the exact wave function is derived. Some discussions made.
引用
收藏
页码:1421 / 1424
页数:4
相关论文
共 12 条
  • [1] HARMONIC-OSCILLATOR WITH STRONGLY PULSATING MASS UNDER THE ACTION OF A DRIVING FORCE
    ABDALLA, MS
    COLEGRAVE, RK
    [J]. PHYSICAL REVIEW A, 1985, 32 (04) : 1958 - 1964
  • [2] TIME-DEPENDENT HARMONIC-OSCILLATOR WITH VARIABLE MASS UNDER THE ACTION OF A DRIVING FORCE
    ABDALLA, MS
    [J]. PHYSICAL REVIEW A, 1986, 34 (06): : 4598 - 4605
  • [3] CANONICAL TREATMENT OF HARMONIC-OSCILLATOR WITH VARIABLE MASS
    ABDALLA, MS
    [J]. PHYSICAL REVIEW A, 1986, 33 (05): : 2870 - 2876
  • [4] HARMONIC-OSCILLATOR WITH STRONGLY PULSATING MASS
    COLEGRAVE, RK
    ABDALLA, MS
    [J]. JOURNAL OF PHYSICS A-MATHEMATICAL AND GENERAL, 1982, 15 (05): : 1549 - 1559
  • [5] NOETHER THEOREM INVARIANTS FOR A TIME-DEPENDENT DAMPED HARMONIC-OSCILLATOR WITH A FORCE QUADRATIC IN VELOCITY
    GU, ZY
    QIAN, SW
    [J]. EUROPHYSICS LETTERS, 1989, 10 (07): : 615 - 619
  • [6] EXACT WAVE-FUNCTIONS OF THE TIME-DEPENDENT DAMPED HARMONIC-OSCILLATOR WITH AN ARBITRARY VARYING MASS AND WITH A FORCE QUADRATIC IN VELOCITY UNDER THE ACTION OF AN ARBITRARY TIME-VARYING DRIVING-FORCE
    GU, ZY
    QIAN, SW
    [J]. JOURNAL OF PHYSICS A-MATHEMATICAL AND GENERAL, 1994, 27 (11): : 3989 - 3998
  • [7] LING RL, 1998, ACTA PHYS SINICA, V47, P1952
  • [8] QUANTIZATION OF MOTION IN A VELOCITY-DEPENDENT FIELD - THE UPSILON-2 CASE
    NEGRO, F
    TARTAGLIA, A
    [J]. PHYSICAL REVIEW A, 1981, 23 (04): : 1591 - 1593
  • [9] QUANTUM-MECHANICS OF A MOLECULAR-SYSTEM ADSORBED ON A DIELECTRIC SURFACE
    OH, HG
    LEE, HR
    GEORGE, TF
    UM, CI
    CHOI, YM
    KAHNG, WH
    [J]. PHYSICAL REVIEW A, 1989, 40 (01): : 45 - 53
  • [10] EXACT WAVE-FUNCTIONS AND COHERENT STATES OF A DAMPED DRIVEN HARMONIC-OSCILLATOR
    OH, HG
    LEE, HR
    GEORGE, TF
    UM, CI
    [J]. PHYSICAL REVIEW A, 1989, 39 (11): : 5515 - 5522