A Proper Quantization Rule for Solving the Klein-Gordon Equation with Equal and Unequal Scalar and Vector Interaction Potentials

被引：0

作者：

Benchiheub, N. ^{[1
]}

Berrehail, M. ^{[2
]}

Grar, N. ^{[3
]}

机构：

[1] Univ Mohamed El Bachir El IBRAHIMI Bordj Bou Arrer, Lab Mat Phys Radiat & Nanostruct, El Anceur 34000, Algeria

[2] Univ Constantine 1, Dept Phys, Constantine 25000, Algeria

[3] Univ Mohamed El Bachir El IBRAHIMI Bordj Bou Arrer, Dept Matter Sci, El Anceur 34000, Algeria

来源：

JORDAN JOURNAL OF PHYSICS | 2024年 / 17卷 / 05期

关键词：

Proper quantization rule; Exact solutions; Klein-Gordon equation; Riccati equation; BOUND-STATES;

D O I：

10.47011/17.5.1

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

Based on the formal equivalence between the non-relativistic Schr & ouml;dinger equation and the relativistic Klein-Gordon equation and using the proper quantization rule as well as the Riccati equation solution, exact solutions are established for a set of interaction potentials (second Rosen-Morse, P & ouml;schl-Teller, second P & ouml;schl-Teller, Scarf II, and Eckart hyperbolic type potentials). The calculations are elaborated in the case of equal scalar and vector potentials. The general case of unequal scalar-vector potentials is detailed for the case of harmonic potential class.

引用

页码：517 / 529

页数：13

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