Open AccessLAPLACE-RUNGE-LENZ VECTOR IN QUANTUM MECHANICS IN NONCOMMUTATIVE SPACE
Author(s) -
P. Prešnajder,
Veronika Gáliková,
Samuel Kováčik
Publication year - 2014
Publication title -
acta polytechnica
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.207
H-Index - 15
eISSN - 1805-2363
pISSN - 1210-2709
DOI - 10.14311/ap.2014.54.0149
Subject(s) - noncommutative geometry , mathematical physics , space (punctuation) , physics , hydrogen atom , quantum mechanics , classical mechanics , mathematics , group (periodic table) , philosophy , linguistics
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.