Fermi energy in the q-deformed quantum mechanics

被引：9

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

页数：15

共 22 条

[1] HILBERT SPACES OF ANALYTIC-FUNCTIONS AND GENERALIZED COHERENT STATES [J].