Flat Minimal Quantizations of Stackel Systems and Quantum Separability
| dc.contributor.author | Blaszak, Maciej | |
| dc.contributor.author | Domanski, Ziemowit | |
| dc.contributor.author | Silindir, Burcu | |
| dc.date.accessioned | 2023-06-16T12:58:54Z | |
| dc.date.available | 2023-06-16T12:58:54Z | |
| dc.date.issued | 2014 | |
| dc.description.abstract | In this paper, we consider the problem of quantization of classical Stackel systems and the problem of separability of related quantum Hamiltonians. First, using the concept of Stackel transform, natural Hamiltonian systems from a given Riemann space are expressed by some flat coordinates of related Euclidean configuration space. Then, the so-called flat minimal quantization procedure is applied in order to construct an appropriate Hermitian operator in the respective Hilbert space. Finally, we distinguish a class of Stackel systems which remains separable after any of admissible flat minimal quantizations. (C) 2014 Elsevier Inc. All rights reserved. | en_US |
| dc.description.sponsorship | Scientific and Technical Research Council of Turkey (TUBITAK) | en_US |
| dc.description.sponsorship | This work is partially supported by the Scientific and Technical Research Council of Turkey (TUBITAK), 2221-Fellowships for Visiting Scientists and Scientists on Sabbatical Leave Programme. | en_US |
| dc.identifier.doi | 10.1016/j.aop.2014.08.015 | |
| dc.identifier.issn | 0003-4916 | |
| dc.identifier.issn | 1096-035X | |
| dc.identifier.uri | https://doi.org/10.1016/j.aop.2014.08.015 | |
| dc.identifier.uri | https://hdl.handle.net/20.500.14365/1061 | |
| dc.language.iso | en | en_US |
| dc.publisher | Academic Press Inc Elsevier Science | en_US |
| dc.relation.ispartof | Annals of Physıcs | en_US |
| dc.rights | info:eu-repo/semantics/openAccess | en_US |
| dc.subject | Stackel system | en_US |
| dc.subject | Stackel transform | en_US |
| dc.subject | Minimal quantization | en_US |
| dc.subject | Quantum separability | en_US |
| dc.subject | Hamilton-Jacobi Equation | en_US |
| dc.subject | Multiplicative Separation | en_US |
| dc.subject | Schrodinger-Equation | en_US |
| dc.subject | Additive Separation | en_US |
| dc.subject | Deformation-Theory | en_US |
| dc.subject | Connection | en_US |
| dc.title | Flat Minimal Quantizations of Stackel Systems and Quantum Separability | en_US |
| dc.type | Article | en_US |
| dspace.entity.type | Publication | |
| gdc.author.id | Doma?ski, Ziemowit/0000-0001-8943-0063 | |
| gdc.author.id | Blaszak, Maciej/0000-0002-3951-2850 | |
| gdc.author.wosid | Doma?ski, Ziemowit/M-7512-2015 | |
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| gdc.description.department | İzmir Ekonomi Üniversitesi | en_US |
| gdc.description.departmenttemp | [Blaszak, Maciej; Domanski, Ziemowit] Adam Mickiewicz Univ, Fac Phys, PL-61614 Poznan, Poland; [Silindir, Burcu] Izmir Univ Econ, Dept Math, TR-35330 Izmir, Turkey | en_US |
| gdc.description.endpage | 165 | en_US |
| gdc.description.publicationcategory | Makale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanı | en_US |
| gdc.description.scopusquality | Q1 | |
| gdc.description.startpage | 152 | en_US |
| gdc.description.volume | 351 | en_US |
| gdc.description.wosquality | Q2 | |
| gdc.identifier.openalex | W1986517580 | |
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| gdc.oaire.keywords | Nonlinear Sciences - Exactly Solvable and Integrable Systems | |
| gdc.oaire.keywords | FOS: Physical sciences | |
| gdc.oaire.keywords | Mathematical Physics (math-ph) | |
| gdc.oaire.keywords | Exactly Solvable and Integrable Systems (nlin.SI) | |
| gdc.oaire.keywords | Mathematical Physics | |
| gdc.oaire.keywords | quantum separability | |
| gdc.oaire.keywords | General quantum mechanics and problems of quantization | |
| gdc.oaire.keywords | Stäckel system | |
| gdc.oaire.keywords | Stäckel transform | |
| gdc.oaire.keywords | minimal quantization | |
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| gdc.virtual.author | Yantır Silindir, Burcu | |
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