WKB approximation for quaternionic quantum mechanics with purely imaginary potentials
Abstract
Solving the Schrödinger equation in quaternionic quantum mechanics (QQM) has been a nut to crack. In complex quantum mechanics (CQM), approximation methods have been used to find the solutions of the Schrödinger equation when exact solutions are difficult to obtain. This study challenges the earlier Eikonal (or WKB) approximation formalism [S. L. Adler, Quaternionic Quantum Mechanics and Quantum Fields (Oxford University Press, New York, 1995)] developed for an imaginary quaternion potential. In this paper, the correct form of coupled equations, obeying the noncommutative structure and approximated solution for quaternionic time-independent Schrödinger equation (QTISE), has been obtained.
Fields of Study & Subjects
Algebraic and Geometric Analysis
Quantum Mechanics and Non-Hermitian Physics
Advanced Mathematical Theories and Applications
Publication details
- Journal / source
- International Journal of Modern Physics A
- Publisher
- World Scientific Pub Co Pte Ltd
- Volume
- 41
- Issue
- 10
- Publication date
- 24 January 2026
- Language
- EN