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

Issue

Vol. 54 No. 2 (2014)

Section

Articles

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
Received 2014-04-30
Accepted 2014-04-30
Published 2014-04-30