Work

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

Year: 2024

Type: article

Abstract: : Based on the formal equivalence between the non-relativistic Schrödinger 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, Pöschl-Teller, second Pöschl-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. Keywords: Proper quantization rule, Exact solutions, Klein-Gordon equation, Riccati equation. PACS number: 03.65.Ge; 03.65.Fd; 03.65.Bz; 03.65.−w.

Source: Jordan Journal of Physics

DOI: 10.47011/17.5.1

Authors: Nadjat Benchiheub, M. Berrehail, N. Grar

Institutions: University Mohamed El Bachir El Ibrahimi of Bordj Bou Arreridj, University Frères Mentouri Constantine 1

Language: English

Topic: Quantum Mechanics and Non-Hermitian Physics

Subfield: Atomic and Molecular Physics, and Optics

Field: Physics and Astronomy

Domain: Physical Sciences

Open Access status: diamond

OpenAlex ID: W4407347233

FWCI: 0.328

Cites:

Cited by: 2

Related to: 10