q-Deformed Quantum Mechanics Based on the q-Addition

被引：18
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
收藏
页数：7
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