Scopus İndeksli Yayınlar Koleksiyonu / Scopus Indexed Publications Collection
Permanent URI for this collectionhttps://hdl.handle.net/11147/7148
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Article Citation - WoS: 9Citation - Scopus: 10Relation Between Relativistic and Non-Relativistic Quantum Mechanics as Integral Transformation(Springer Verlag, 2002) Mir-Kasimov, Rufat M.; Kasım, Rıfat Mir; 04.02. Department of Mathematics; 04. Faculty of Science; 01. Izmir Institute of TechnologyA formulation of quantum mechanics (QM) in the relativistic configurational space (RCS) is considered. A transformation connecting the non-relativistic QM and relativistic QM (RQM) has been found in an explicit form. This transformation is a direct generalization of the Kontorovich-Lebedev transformation. It is shown also that RCS gives an example of non-commutative geometry over the commutative algebra of functions.
