Klein-Gordon equation in q-deformed Euclidean space

2022/01/04 by Hartmut Wächter, Wachter, Hartmut
Physics and Astronomy · #16T05 (Secondary) #81R50 (Primary) #Black Holes and Theoretical Physics #FOS: Physical sciences #Mathematical Physics (math-ph) #Nonlinear Waves and Solitons #Particle physics theoretical and experimental studies

paper · pdf · doi:10.48550/arxiv.2201.01292

openalex publication_date 2022/01/04 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

We introduce q-versions of the Klein-Gordon equation in the three-dimensional q-deformed Euclidean space. We determine plane wave solutions to our q-deformed Klein-Gordon equations. We show that these plane wave solutions form a complete orthogonal system. We discuss the propagators of our q-deformed Klein-Gordon equations. We derive continuity equations for the charge density, the energy density, and the momentum density of a q-deformed spin-zero particle.

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