One-dimensional quantum mechanics with Dunkl derivative

被引：57
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 | 2019年 / 34卷 / 24期
基金：
新加坡国家研究基金会;
关键词：
Dunkl derivative; quantum mechanics; FOCK SPACE; ALGEBRAS; SYSTEMS;
D O I：
10.1142/S0217732319501906
中图分类号：
P1 [天文学];
学科分类号：
0704 ;
摘要：
In this paper, we consider the quantum mechanics with Dunkl derivative. We use the Dunkl derivative to obtain the coordinate representation of the momentum operator and Hamiltonian. We introduce the scalar product to find that the momentum is Hermitian under this inner product. We study the one-dimensional box problem (the spin-less particle with mass m confined to the one-dimensional infinite wall). Finally, we discuss the harmonic oscillator problem.
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页数：9
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