q-Deformed Quantum Mechanics Based on the q-Addition

被引：21

作者：

Chung, Won Sang ^{[1
,2
]}

Hassanabadi, Hassan ^{[3
]}

机构：

[1] Gyeongsang Natl Univ, Coll Nat Sci, Dept Phys, Jinju 660701, South Korea

[2] Gyeongsang Natl Univ, Coll Nat Sci, Res Inst Nat Sci, Jinju 660701, South Korea

[3] Shahrood Univ Technol, Fac Phys, Shahrood, Iran

来源：

FORTSCHRITTE DER PHYSIK-PROGRESS OF PHYSICS | 2019年 / 67卷 / 04期

基金：

新加坡国家研究基金会;

关键词：

momentum eigenfunction; q-deformed quantum mechanics; q-derivative; HARMONIC-OSCILLATOR; Q-ANALOGS; ALGEBRA;

D O I：

10.1002/prop.201800111

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

In this paper we consider the q-derivative appearing in the non-extensive thermodynamics to formulate the q-deformed quantum mechanics. From the q-addition we discuss the q-deformed calculus and q-deformed elementary functions. We use these to construct the q-deformed quantum mechanics. As examples we discuss momentum eigenfunction, one dimensional box problem and quantum harmonic potential problem.

引用

页数：7

共 33 条

[1] A note on the q-deformation-theoretic aspect of the generalized entropies in nonextensive physics [J].