Relation Between Relativistic and Non-Relativistic Quantum Mechanics as Integral Transformation
| dc.contributor.author | Mir-Kasimov, Rufat M. | |
| dc.coverage.doi | 10.1023/A:1015088417135 | |
| dc.date.accessioned | 2016-05-17T08:00:31Z | |
| dc.date.available | 2016-05-17T08:00:31Z | |
| dc.date.issued | 2002 | |
| dc.description.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. | en_US |
| dc.identifier.citation | 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 | en_US |
| dc.identifier.doi | 10.1023/A:1015088417135 | en_US |
| dc.identifier.doi | 10.1023/A:1015088417135 | |
| dc.identifier.issn | 0015-9018 | |
| dc.identifier.issn | 0015-9018 | |
| dc.identifier.scopus | 2-s2.0-0036294904 | |
| dc.identifier.uri | http://doi.org/10.1023/A:1015088417135 | |
| dc.identifier.uri | https://hdl.handle.net/11147/4649 | |
| dc.language.iso | en | en_US |
| dc.publisher | Springer Verlag | en_US |
| dc.relation.ispartof | Foundations of Physics | en_US |
| dc.rights | info:eu-repo/semantics/openAccess | en_US |
| dc.subject | Configurational space | en_US |
| dc.subject | Fourier transformation | en_US |
| dc.subject | Lorentz group representations | en_US |
| dc.subject | Non-commutative differential calculus | en_US |
| dc.subject | Non-relativistic | en_US |
| dc.subject | Relativistic model | en_US |
| dc.title | Relation Between Relativistic and Non-Relativistic Quantum Mechanics as Integral Transformation | en_US |
| dc.type | Article | en_US |
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| gdc.author.institutional | Mir-Kasimov, Rufat M. | |
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| gdc.description.department | İzmir Institute of Technology. Mathematics | en_US |
| gdc.description.endpage | 626 | en_US |
| gdc.description.issue | 4 | en_US |
| gdc.description.publicationcategory | Makale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanı | en_US |
| gdc.description.scopusquality | Q2 | |
| gdc.description.startpage | 607 | en_US |
| gdc.description.volume | 32 | en_US |
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| gdc.oaire.keywords | Fourier transformation | |
| gdc.oaire.keywords | Non-commutative differential calculus | |
| gdc.oaire.keywords | Non-relativistic | |
| gdc.oaire.keywords | Relativistic model | |
| gdc.oaire.keywords | Lorentz group representations | |
| gdc.oaire.keywords | Configurational space | |
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