Classical q-deformed dynamics

被引:11
|
作者
Lavagno, A
Scarfone, AM
Swamy, PN
机构
[1] Politecn Torino, Dipartimento Fis, Turin, Italy
[2] Ist Nazl Fis Nucl, Sez Turin, I-10125 Turin, Italy
[3] CNR, INFM, Sez Turin, I-10126 Turin, Italy
[4] So Illinois Univ, Edwardsville, IL 62026 USA
来源
EUROPEAN PHYSICAL JOURNAL B | 2006年 / 50卷 / 1-2期
关键词
D O I
10.1140/epjb/e2006-00109-x
中图分类号
O469 [凝聚态物理学];
学科分类号
070205 ;
摘要
On the basis of the quantum q-oscillator algebra in the framework of quantum groups and non-commutative q-differential calculus, we investigate a possible q-deformation of the classical Poisson bracket in order to extend a generalized q-deformed dynamics in the classical regime. In this framework, classical q-deformed kinetic equations, Kramers and Fokker-Planck equations, are also studied.
引用
收藏
页码:351 / 354
页数:4
相关论文
共 50 条
  • [1] Classical q-deformed dynamics
    A. Lavagno
    A. M. Scarfone
    P. Narayana Swamy
    The European Physical Journal B - Condensed Matter and Complex Systems, 2006, 50 : 351 - 354
  • [2] q-deformed dynamics of q-deformed oscillators
    Gruver, JL
    PHYSICS LETTERS A, 1999, 254 (1-2) : 1 - 6
  • [3] EXTENSION OF Q-DEFORMED ANALYSIS AND Q-DEFORMED MODELS OF CLASSICAL MECHANICS
    KLIMEK, M
    JOURNAL OF PHYSICS A-MATHEMATICAL AND GENERAL, 1993, 26 (04): : 955 - 967
  • [4] Q-DEFORMED CLASSICAL MECHANICS
    CHUNG, WS
    CHUNG, KS
    PHYSICS LETTERS A, 1994, 191 (1-2) : 71 - 76
  • [5] On q-deformed supersymmetric classical mechanical models
    Colatto, LP
    MatheusValle, JL
    JOURNAL OF MATHEMATICAL PHYSICS, 1996, 37 (12) : 6121 - 6129
  • [6] Classical and quantum q-deformed physical systems
    Lavagno, A.
    Scarfone, A. M.
    Swamy, P. Narayana
    EUROPEAN PHYSICAL JOURNAL C, 2006, 47 (01): : 253 - 261
  • [8] On a Classical Limit of q-Deformed Whittaker Functions
    Gerasimov, Anton
    Lebedev, Dimitri
    Oblezin, Sergey
    LETTERS IN MATHEMATICAL PHYSICS, 2012, 100 (03) : 279 - 290
  • [9] Classical and quantum q-deformed physical systems
    A. Lavagno
    A.M. Scarfone
    P. Narayana Swamy
    The European Physical Journal C - Particles and Fields, 2006, 47 : 253 - 261
  • [10] On a Classical Limit of q-Deformed Whittaker Functions
    Anton Gerasimov
    Dimitri Lebedev
    Sergey Oblezin
    Letters in Mathematical Physics, 2012, 100 : 279 - 290