Fermi energy in the q-deformed quantum mechanics

被引：8
|
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：
MODERN PHYSICS LETTERS A | 2020年 / 35卷 / 11期
关键词：
q-derivative; non-extensive statistical physics; Fermi energy; GENERALIZED UNCERTAINTY PRINCIPLE; Q-ANALOG; ALGEBRA;
D O I：
10.1142/S0217732320500741
中图分类号：
P1 [天文学];
学科分类号：
0704 ;
摘要：
In this paper, we use the q-derivative emerging in the non-extensive statistical physics to formulate the q-deformed quantum mechanics. We find the algebraic structure related to this deformed theory and investigate some properties of the q-deformed elementary functions. Using this mathematical background, we formulate the q-deformed Heisenberg algebra and q-deformed time-dependent Schrodinger equation. As an example, we deal with the infinite potential well and compute the Fermi energy in the q-deformed theory.
引用
收藏
页数：15
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