LAPLACE-RUNGE-LENZ VECTOR IN QUANTUM MECHANICS IN NONCOMMUTATIVE SPACE

Peter Prešnajder; Veronika Gáliková; Samuel Kováčik

doi:10.14311/AP.2014.54.0149

LAPLACE-RUNGE-LENZ VECTOR IN QUANTUM MECHANICS IN NONCOMMUTATIVE SPACE

Authors

Peter Prešnajder Commenius University Bratislava, Faculty of Mathematics, Physics and Informatics
Veronika Gáliková Commenius University Bratislava, Faculty of Mathematics, Physics and Informatics
Samuel Kováčik Commenius University Bratislava, Faculty of Mathematics, Physics and Informatics

DOI:

https://doi.org/10.14311/AP.2014.54.0149

Abstract

The object under scrutiny is the dynamical symmetry connected with conservation of the Laplace-Runge-Lenz vector (LRL) in the hydrogen atom problem solved by means of noncommutative quantum mechanics (NCQM). The considered noncommutative configuration space has such a “fuzzy”
structure that the rotational invariance is not spoilt. An analogy with the LRL vector in the NCQM is brought to provide our results and also a comparison with the standard QM predictions.

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Published

2014-04-30

How to Cite

Prešnajder, P., Gáliková, V., & Kováčik, S. (2014). LAPLACE-RUNGE-LENZ VECTOR IN QUANTUM MECHANICS IN NONCOMMUTATIVE SPACE. Acta Polytechnica, 54(2), 149–155. https://doi.org/10.14311/AP.2014.54.0149