Relation Between Relativistic and Non-Relativistic Quantum Mechanics as Integral Transformation

Foundations of Physics 32 (4):607-626 (2002)
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Abstract

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

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10.1023/a:1015088417135

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Rafa Mir
University of Western Sydney, Macarthur

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