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https://hdl.handle.net/11147/4649| Title: | Relation between relativistic and non-relativistic quantum mechanics as integral transformation | Authors: | Mir-Kasimov, Rufat M. | Keywords: | Configurational space Fourier transformation Lorentz group representations Non-commutative differential calculus Non-relativistic Relativistic model |
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 WoS İndeksli Yayınlar Koleksiyonu / WoS Indexed Publications Collection |
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