Dirac Equation under Modified Hylleraas Potential in Noncommutative Spaces

2022/11/04 by Lu Liu, Liu, Lu, Zheng‐Wen Long +1
Physics and Astronomy · #FOS: Physical sciences #Noncommutative and Quantum Gravity Theories #Quantum Mechanics and Non-Hermitian Physics #Quantum Physics (quant-ph) #Quantum and Classical Electrodynamics

paper · pdf · doi:10.48550/arxiv.2211.02216

openalex publication_date 2022/11/04 · openalex created_date 2023/02/15 · openalex updated_date 2026/07/28

Abstract

In this paper, we study the interaction of spin 1/2 Dirac particles with the Hylleraas potential based on the noncommutative space framework. Solving the first-order correction of the energy level caused by the noncommutation parameter θ in the wave equation. The problem of energy level correction under the action of additional weak electric field is further analyzed. Due to the non-commutation parameter, the energy levels are split. The noncommutation parameter θ has a significant effect on the energy eigenvalues. The effect of θ on the energy level splitting caused by the electric field is reflected by adding a slight numerical change to the energy level after splitting.

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