Quantum mechanics in q-deformed calculus

被引：21
|
作者：
Lavagno, A. [1 ,3 ]
Gervino, G. [2 ,3 ]
机构：
[1] Politecn Torino, Dipartimento Fis, Corso Duca Abruzzi 24, I-10129 Turin, Italy
[2] Univ Turin, Dipartimento Fis, I-10126 Turin, Italy
[3] Ist Nazl Fis Nucl, Sez Torino, I-10126 Turin, Italy
来源：
FOURTH INTERNATIONAL WORKSHOP DICE 2008: FROM QUANTUM MECHANICS THROUGH COMPLEXITY TO SPACETIME: THE ROLE OF EMERGENT DYNAMICAL STRUCTURES | 2009年 / 174卷
关键词：
SCHRODINGER-EQUATION; THERMOSTATISTICS; STATISTICS;
D O I：
10.1088/1742-6596/174/1/012071
中图分类号：
O3 [力学];
学科分类号：
08 ; 0801 ;
摘要：
Starting on the basis of q-deformed calculus and q-symmetric oscillator algebra, we introduce a generalized Schrodinger equation which admits factorized time-space solutions and the free plane wave functions can be expressed in terms of the so-called basic-hypergeometric functions. In this framework, q-deformed adjoint and q-hermitian operator properties occur in a natural way in order to satisfy the fundamental quantum mechanics assumptions.
引用
收藏
页数：8
相关论文
共 50 条
  • [21] q-Deformed non-relativistic and relativistic quantum mechanics
    Cerchiai, BL
    Schraml, S
    Wess, J
    [J]. INTERNATIONAL JOURNAL OF MODERN PHYSICS B, 1999, 13 (24-25): : 3049 - 3068
  • [22] QUANTUM-MECHANICS WITH Q-DEFORMED COMMUTATORS AND PERIODIC VARIABLES
    KOBAYASHI, T
    SUZUKI, T
    [J]. JOURNAL OF PHYSICS A-MATHEMATICAL AND GENERAL, 1993, 26 (21): : 6055 - 6065
  • [23] ON Q-DEFORMED HAMILTONIAN-MECHANICS
    CABAN, P
    DOBROSIELSKI, A
    KRAJEWSKA, A
    WALCZAK, Z
    [J]. PHYSICS LETTERS B, 1994, 327 (3-4) : 287 - 292
  • [24] q-Deformed superstatistic thermodynamics in the presence of minimal length quantum mechanics
    Ikot, A. N.
    Okorie, U. S.
    Onate, C. A.
    Onyeaju, M. C.
    Hassanabadi, H.
    [J]. CANADIAN JOURNAL OF PHYSICS, 2019, 97 (10) : 1161 - 1166
  • [25] A calculus based on a q-deformed Heisenberg algebra
    Cerchiai B.L.
    Hinterding R.
    Madore J.
    Wess J.
    [J]. The European Physical Journal C - Particles and Fields, 1999, 8 (3): : 547 - 558
  • [26] Differential calculus on q-deformed Grassmann manifolds
    Kolb, S
    [J]. CZECHOSLOVAK JOURNAL OF PHYSICS, 2001, 51 (12) : 1355 - 1361
  • [27] A calculus based on a q-deformed Heisenberg algebra
    Cerchiai, BL
    Hinterding, R
    Madore, J
    Wess, J
    [J]. EUROPEAN PHYSICAL JOURNAL C, 1999, 8 (03): : 547 - 558
  • [28] q-Deformed conformal quantum mechanics -: art. no. 095009
    Youm, D
    [J]. PHYSICAL REVIEW D, 2000, 62 (09)
  • [29] ON THE CONSISTENT CONSTRAINT OF THE DEFORMATION PARAMETER FOR Q-DEFORMED QUANTUM-MECHANICS
    LI, K
    CHEN, YX
    MA, ZS
    [J]. COMMUNICATIONS IN THEORETICAL PHYSICS, 1994, 21 (03) : 299 - 302
  • [30] A q-deformed differential calculus at roots of unity
    Kerner, R
    [J]. CZECHOSLOVAK JOURNAL OF PHYSICS, 1998, 48 (11) : 1387 - 1394
12345