Nonrelativistic one-particle problem on $q$-deformed Euclidean space

• URL: http://arxiv.org/abs/2010.08826v2
• Date: Fri, 5 Feb 2021 19:32:00 GMT
• Title: Nonrelativistic one-particle problem on $q$-deformed Euclidean space
• Authors: Hartmut Wachter
• Abstract summary: We consider time-dependent Schr"odinger equations for a free nonrelativistic particle on the three-dimensional $q$-deformed Euclidean space. We determine plane wave solutions to these Schr"odinger equations and show that they form a complete orthonormal system.
• Score: 0.0
• License: http://arxiv.org/licenses/nonexclusive-distrib/1.0/
• Abstract: We consider time-dependent Schr\"{o}dinger equations for a free nonrelativistic particle on the three-dimensional $q$-deformed Euclidean space. We determine plane wave solutions to these Schr\"{o}dinger 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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