The Heisenberg-Langevin model of a quantum damped harmonic oscillator with time-dependent frequency and damping coefficients

被引：0
|
作者：
V. V. Dodonov
A. V. Dodonov
机构：
[1] Universidade de Brasília,Instituto de Física
[2] Universidade Federal de São Carlos,Departamento de Física
来源：
Journal of Russian Laser Research | 2006年 / 27卷
关键词：
Nonstationary quantum damped oscillator; Heisenberg-Langevin equations; noncommuting noise operators; nonstationary Casimir effect;
D O I：
暂无
中图分类号：
学科分类号：
摘要：
We develop a consistent model of a quantum damped harmonic oscillator with arbitrary time-dependent frequency and damping coefficients within the framework of the Heisenberg-Langevin equations with two noncommuting delta-correlated noise operators justifying the choice of the “minimal noise” set of damping coefficients and correlation functions.
引用
收藏
页码：379 / 388
页数：9
相关论文
共 50 条
  • [1] The Heisenberg-Langevin model of a quantum damped harmonic oscillator with time-dependent frequency and damping coefficients
    Dodonov, V. V.
    Dodonov, A. V.
    [J]. JOURNAL OF RUSSIAN LASER RESEARCH, 2006, 27 (04) : 379 - 388
  • [2] On the exact solutions of the damped harmonic oscillator with a time-dependent damping constant and a time-dependent angular frequency
    Jihun Cha
    Eun Ji Jang
    Min Jung
    Do yeon Kim
    Da Hong Kim
    Young Kyu Lee
    Sucheol Park
    Kyun Seok Kim
    Won Sang Chung
    [J]. Journal of the Korean Physical Society, 2015, 67 : 404 - 408
  • [3] On the exact solutions of the damped harmonic oscillator with a time-dependent damping constant and a time-dependent angular frequency
    Cha, Jihun
    Jang, Eun Ji
    Jung, Min
    Kim, Do yeon
    Kim, Da Hong
    Lee, Young Kyu
    Park, Sucheol
    Kim, Kyun Seok
    Chung, Won Sang
    [J]. JOURNAL OF THE KOREAN PHYSICAL SOCIETY, 2015, 67 (02) : 404 - 408
  • [4] QUANTUM HARMONIC OSCILLATOR WITH TIME-DEPENDENT FREQUENCY
    SOLIMENO, S
    DIPORTO, P
    CROSIGNA.B
    [J]. JOURNAL OF MATHEMATICAL PHYSICS, 1969, 10 (10) : 1922 - &
  • [5] The exact evolution of the time-dependent driven damped harmonic oscillator with time-dependent mass and frequency
    Liang, ML
    Yuan, B
    Zhong, KS
    [J]. CANADIAN JOURNAL OF PHYSICS, 2002, 80 (12) : 1559 - 1569
  • [6] QUANTUM MECHANICAL SOLUTION OF A DAMPED HARMONIC OSCILLATOR WITH TIME-DEPENDENT PARAMETERS
    徐宏华
    [J]. Acta Mathematica Scientia, 1985, (03) : 319 - 325
  • [7] On the Damped Harmonic Oscillator with Time Dependent Damping Coefficient
    Hatvani, L.
    [J]. JOURNAL OF DYNAMICS AND DIFFERENTIAL EQUATIONS, 2018, 30 (01) : 25 - 37
  • [8] On the Damped Harmonic Oscillator with Time Dependent Damping Coefficient
    L. Hatvani
    [J]. Journal of Dynamics and Differential Equations, 2018, 30 : 25 - 37
  • [9] LANGEVIN QUANTIZATION OF THE TIME-DEPENDENT HARMONIC-OSCILLATOR
    DEFENDI, A
    RONCADELLI, M
    [J]. EUROPHYSICS LETTERS, 1993, 23 (03): : 159 - 164
  • [10] QUANTUM HARMONIC-OSCILLATOR WITH TIME-DEPENDENT MASS AND FREQUENCY
    DING, S
    KHAN, RD
    ZHANG, JL
    SHEN, WD
    [J]. INTERNATIONAL JOURNAL OF THEORETICAL PHYSICS, 1995, 34 (03) : 355 - 368
12345