Nonclassical phase-space trajectories for the damped harmonic quantum oscillator

被引：13
|
作者：
Pachon, L. A. [1 ,2 ,3 ]
Ingold, G. -L. [1 ]
Dittrich, T. [2 ,3 ]
机构：
[1] Univ Augsburg, Inst Phys, D-86135 Augsburg, Germany
[2] Univ Nacl Colombia, Dept Fis, Bogota, Colombia
[3] CeiBA Complejidad, Bogota, Colombia
来源：
CHEMICAL PHYSICS | 2010年 / 375卷 / 2-3期
关键词：
Harmonic oscillator; Dissipation; Non-Markovian; Phase-space; BROWNIAN-MOTION; INTEGRAL APPROACH; KRAMERS; ORBITS; SCARS;
D O I：
10.1016/j.chemphys.2010.05.024
中图分类号：
O64 [物理化学（理论化学）、化学物理学];
学科分类号：
070304 ; 081704 ;
摘要：
The phase-space path-integral approach to the damped harmonic oscillator is analyzed beyond the Markovian approximation. It is found that pairs of nonclassical trajectories contribute to the path-integral representation of the Wigner propagating function. Due to the linearity of the problem, the sum coordinate of a pair still satisfies the classical equation of motion. Furthermore, it is shown that the broadening of the Wigner propagating function of the damped oscillator arises due to the time-nonlocal interaction mediated by the heat bath. (C) 2010 Elsevier B. V. All rights reserved.
引用
收藏
页码：209 / 215
页数：7
相关论文
共 50 条
  • [1] Dissipative quantum trajectories in complex space: Damped harmonic oscillator
    Chou, Chia-Chun
    [J]. ANNALS OF PHYSICS, 2016, 373 : 325 - 345
  • [2] Phase-space treatment of the driven quantum harmonic oscillator
    DIÓGENES CAMPOS
    [J]. Pramana, 2017, 88
  • [3] Phase-space treatment of the driven quantum harmonic oscillator
    Campos, Diogenes
    [J]. PRAMANA-JOURNAL OF PHYSICS, 2017, 88 (03):
  • [4] Quantum uncertainties of the confined Harmonic Oscillator in position, momentum and phase-space
    Laguna, Humberto G.
    Sagar, Robin P.
    [J]. ANNALEN DER PHYSIK, 2014, 526 (11-12) : 555 - 566
  • [5] Harmonic oscillator in a background magnetic field in noncommutative quantum phase-space
    Ben Geloun, J.
    Gangopadhyay, Sunandan
    Scholtz, F. G.
    [J]. EPL, 2009, 86 (05)
  • [6] QUANTUM PHASE-SPACE DENSITIES FOR A QUARTIC OSCILLATOR
    DEPOLAVIEJA, GG
    BORONDO, F
    BENITO, RM
    [J]. INTERNATIONAL JOURNAL OF QUANTUM CHEMISTRY, 1994, 51 (06) : 555 - 567
  • [7] QUANTUM DYNAMICS BY STOCHASTIC TRAJECTORIES IN PHASE-SPACE
    SINGER, K
    [J]. MOLECULAR PHYSICS, 1995, 85 (04) : 701 - 709
  • [8] Phase-space Wave Functions of Harmonic Oscillator in Nanomaterials
    Lu Jun
    [J]. FUNDAMENTAL OF CHEMICAL ENGINEERING, PTS 1-3, 2011, 233-235 : 2154 - 2157
  • [9] The quantum damped harmonic oscillator
    Um, CI
    Yeon, KH
    George, TF
    [J]. PHYSICS REPORTS-REVIEW SECTION OF PHYSICS LETTERS, 2002, 362 (2-3): : 63 - 192
  • [10] NONCLASSICAL EFFECTS IN PHASE-SPACE
    LUTKENHAUS, N
    BARNETT, SM
    [J]. PHYSICAL REVIEW A, 1995, 51 (04): : 3340 - 3342
12345