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
收藏
页码：517 / 529
页数：13
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