Nonrelativistic one-particle problem on q-deformed Euclidean space

2020/10/17 by Wachter, Hartmut
#16T05 (Secondary) #81R50 (Primary) #FOS: Physical sciences #High Energy Physics - Theory (hep-th) #Quantum Physics (quant-ph)

paper · doi:10.48550/arxiv.2010.08826

Abstract

We consider time-dependent Schrödinger equations for a free nonrelativistic particle on the three-dimensional q-deformed Euclidean space. We determine plane wave solutions to these Schrödinger equations and show that they form a complete orthonormal system. We derive q-deformed expressions for propagators of a nonrelativistic particle. Considerations about expectation values for position or momentum of a nonrelativistic particle conclude our studies.

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