Mathematics / Matematik

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Author: search.filters.author.Mir-Kasimov, Rufat M.Subject: search.filters.subject.Configurational space

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  • Article
    Citation - WoS: 9
    Citation - Scopus: 10
    Relation Between Relativistic and Non-Relativistic Quantum Mechanics as Integral Transformation
    (Springer Verlag, 2002) Mir-Kasimov, Rufat M.
    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.