(Springer Verlag, 2002) Mir-Kasimov, Rufat M.; Kasım, Rıfat Mir; 04.02. Department of Mathematics; 04. Faculty of Science; 01. Izmir Institute of Technology
A 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.
