A time-dependent damped harmonic oscillator with a force quadratic in velocity

被引:1
|
作者
Huang, BW [1 ]
机构
[1] Capital Normal Univ, Dept Phys, Beijing 100037, Peoples R China
关键词
harmonic oscillator; invariant; eigenfunction; eigenvalue;
D O I
10.7498/aps.52.271
中图分类号
O4 [物理学];
学科分类号
0702 ;
摘要
A time-dependent damped harmonic oscillator with a nonconservative force quadratic in velocity (THOFQV) is described by an appropriate Lagrangian, and hence the general solution of THOFQV can be found. The solution of the Schrodinger equation for the system, such as the eigenfunctions and eigenvalues, is derived by utilizing these invariant operators.
引用
收藏
页码:271 / 275
页数:5
相关论文
共 10 条
  • [1] CHUNG IU, 1998, PHYS REV A, V58, P1574
  • [2] FANG HY, 2001, CHINESE PHYS, V10, P380
  • [3] ERMAKOV SYSTEMS AND QUANTUM-MECHANICAL SUPERPOSITION LAWS
    HARTLEY, JG
    RAY, JR
    [J]. PHYSICAL REVIEW A, 1981, 24 (06): : 2873 - 2876
  • [4] General formulas for radial matrix elements of isotropic harmonic oscillators
    Hou, CF
    Sun, XD
    Zhou, ZX
    Li, Y
    [J]. ACTA PHYSICA SINICA, 1999, 48 (03) : 385 - 388
  • [5] INVARIANTS AND SYMMETRIES FOR A PARTICLE WITH A FORCE QUADRATIC IN THE VELOCITY
    HUANG, BW
    GU, ZY
    QIAN, SW
    [J]. PHYSICS LETTERS A, 1989, 142 (4-5) : 203 - 206
  • [6] Jing H, 2000, CHINESE PHYS, V9, P481, DOI 10.1088/1009-1963/9/7/001
  • [7] Propagator and exact wave function of the time-dependently damped harmonic oscillator
    Ling, RL
    [J]. ACTA PHYSICA SINICA, 2001, 50 (08) : 1421 - 1424
  • [8] LING RL, 1998, ACTA PHYS SINICA, V47, P1952
  • [9] QIAN SW, 2001, J PHYS A, V34, P5616
  • [10] QUANTIZATION OF A PARTICLE WITH A FORCE QUADRATIC IN THE VELOCITY
    STUCKENS, C
    KOBE, DH
    [J]. PHYSICAL REVIEW A, 1986, 34 (05): : 3565 - 3567