Regularization of δ′ potential in general case of deformed space with minimal length

被引：0

作者：

Samar, M., I ^{[1
]}

Tkachuk, V. M. ^{[1
]}

机构：

[1] Ivan Franko Natl Univ Lviv, Prof Ivan Vakarchuk Dept Theoret Phys, 12 Drahomanov St, UA-79005 Lvov, Ukraine

来源：

JOURNAL OF PHYSICS A-MATHEMATICAL AND THEORETICAL | 2022年 / 55卷 / 41期

基金：

新加坡国家研究基金会;

关键词：

deformed Heisenberg algebra; minimal length; delta prime potential; UNCERTAINTY RELATION; HYDROGEN-ATOM;

D O I：

10.1088/1751-8121/ac90fe

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

In the general case of deformed Heisenberg algebra leading to the minimal length, we present a definition of the delta '(x) potential as a linear kernel of potential energy operator in momentum representation. We find exactly the energy level and corresponding eigenfunction for delta '(x) and delta(x) - delta '(x) potentials in deformed space with arbitrary function of deformation. The energy spectrum for different partial cases of deformation function is analysed.

引用

页数：14

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