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.
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页数：8
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