Exact continuity equation in a space with minimal length

We derive continuity equation and exact expression for flow probability density in a space with arbitrary deformed algebra leading to minimal length. In coordinate representation the flow probability density is presented as infinite series over parameter of deformation which in momentum representati...

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Bibliographic Details
Published in:arXiv.org 2020-04
Main Authors: Laba, H P, Tkachuk, V M
Format: Article
Language:English
Subjects:
Continuity equation
Deformation
Density
Infinite series
Kinetic energy
Mathematical analysis
Plane waves
Representations
Online Access:Get full text
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Summary:We derive continuity equation and exact expression for flow probability density in a space with arbitrary deformed algebra leading to minimal length. In coordinate representation the flow probability density is presented as infinite series over parameter of deformation which in momentum representation can be casted into exact closed form determined by deformed kinetic energy. The flow probability density is calculated explicitly for plane wave and for superposition of two plane waves.
ISSN:2331-8422
DOI:10.48550/arxiv.2004.12690