Please use this identifier to cite or link to this item: https://hdl.handle.net/11147/4649
Title: Relation between relativistic and non-relativistic quantum mechanics as integral transformation
Authors: Mir-Kasimov, Rufat M.
Mir-Kasimov, Rufat M.
Izmir Institute of Technology. Mathematics
Keywords: Configurational space
Fourier transformation
Lorentz group representations
Non-commutative differential calculus
Non-relativistic
Relativistic model
Issue Date: Apr-2002
Publisher: Springer Verlag
Source: Mir-Kasimov, R. M. (2002). Relation between relativistic and non-relativistic quantum mechanics as integral transformation. Foundations of Physics, 32(4), 607-626. doi:10.1023/A:1015088417135
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.
URI: http://doi.org/10.1023/A:1015088417135
http://hdl.handle.net/11147/4649
ISSN: 0015-9018
0015-9018
Appears in Collections:Mathematics / Matematik
Scopus İndeksli Yayınlar Koleksiyonu / Scopus Indexed Publications Collection

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