A Conditionally Exactly Solvable 1D Dirac Pseudoscalar Interaction Potential

被引：0

作者：

Ghazaryan, A. M. ^{[1
]}

Ishkhanyan, A. M. ^{[1
]}

Red'kov, V. M. ^{[2
]}

机构：

[1] NAS Armenia, Inst Phys Res, Ashtarak, Armenia

[2] NAS Belarus, Inst Phys, Minsk, BELARUS

来源：

JOURNAL OF CONTEMPORARY PHYSICS-ARMENIAN ACADEMY OF SCIENCES | 2023年 / 58卷 / 03期

关键词：

one-dimensional stationary Dirac equation; pseudoscalar potential; conditionally exactly solvable potential; non-integer index Hermite function; energy spectrum; bound states; EQUATION; TERMS;

D O I：

10.1134/S1068337223030106

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

We study an analytically solvable pseudoscalar interaction potential for the one-dimensional stationary Dirac equation, which consists of power terms proportional to x(-1), and x(-1/3), and x(1/3).This potential is classified as conditionally exactly solvable due to the fixed strength of the first term at a specific constant. We present the general solution to the Dirac equation in terms of non-integer index Hermite functions, which are distinct from the conventional integer index Hermite polynomials. We analyze the energy spectrum of the bound states and the eigenfunctions and compare the results with the case without the x(-1/3) term.

引用

页码：212 / 219

页数：8

共 31 条

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[Anonymous], 1965, Special Functions and Their Applications, DOI [DOI 10.1063/1.3047047, 10.1063/1.3047047]

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