Symmetry Operators and Separation of Variables for Dirac's Equation on Two-Dimensional Spin Manifolds
A signature independent formalism is created and utilized to determine the general second-order symmetry operators for Dirac's equation on two-dimensional Lorentzian spin manifolds. The formalism is used to characterize the orthonormal frames and metrics that permit the solution of Dirac's...
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| Veröffentlicht in: | Symmetry, Integrability and Geometry: Methods and Applications |
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| Datum: | 2011 |
| Hauptverfasser: | , , , |
| Format: | Artikel |
| Sprache: | Englisch |
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Інститут математики НАН України
2011
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| Online Zugang: | https://nasplib.isofts.kiev.ua/handle/123456789/147178 |
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| Назва журналу: | Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| Zitieren: | Symmetry Operators and Separation of Variables for Dirac's Equation on Two-Dimensional Spin Manifolds / A. Carignano , L. Fatibene, R.G. McLenaghan, G. Rastelli // Symmetry, Integrability and Geometry: Methods and Applications. — 2011. — Т. 7. — Бібліогр.: 25 назв. — англ. |
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Digital Library of Periodicals of National Academy of Sciences of Ukraine| _version_ | 1862581437821091840 |
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| author | Carignano, A. Fatibene, L. McLenaghan, R.L. Rastelli, G. |
| author_facet | Carignano, A. Fatibene, L. McLenaghan, R.L. Rastelli, G. |
| citation_txt | Symmetry Operators and Separation of Variables for Dirac's Equation on Two-Dimensional Spin Manifolds / A. Carignano , L. Fatibene, R.G. McLenaghan, G. Rastelli // Symmetry, Integrability and Geometry: Methods and Applications. — 2011. — Т. 7. — Бібліогр.: 25 назв. — англ. |
| collection | DSpace DC |
| container_title | Symmetry, Integrability and Geometry: Methods and Applications |
| description | A signature independent formalism is created and utilized to determine the general second-order symmetry operators for Dirac's equation on two-dimensional Lorentzian spin manifolds. The formalism is used to characterize the orthonormal frames and metrics that permit the solution of Dirac's equation by separation of variables in the case where a second-order symmetry operator underlies the separation. Separation of variables in complex variables on two-dimensional Minkowski space is also considered.
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| first_indexed | 2025-11-26T21:35:02Z |
| format | Article |
| fulltext | |
| id | nasplib_isofts_kiev_ua-123456789-147178 |
| institution | Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| issn | 1815-0659 |
| language | English |
| last_indexed | 2025-11-26T21:35:02Z |
| publishDate | 2011 |
| publisher | Інститут математики НАН України |
| record_format | dspace |
| spelling | Carignano, A. Fatibene, L. McLenaghan, R.L. Rastelli, G. 2019-02-13T18:29:36Z 2019-02-13T18:29:36Z 2011 Symmetry Operators and Separation of Variables for Dirac's Equation on Two-Dimensional Spin Manifolds / A. Carignano , L. Fatibene, R.G. McLenaghan, G. Rastelli // Symmetry, Integrability and Geometry: Methods and Applications. — 2011. — Т. 7. — Бібліогр.: 25 назв. — англ. 1815-0659 2010 Mathematics Subject Classification: 70S10; 81Q80 DOI:10.3842/SIGMA.2011.057 https://nasplib.isofts.kiev.ua/handle/123456789/147178 A signature independent formalism is created and utilized to determine the general second-order symmetry operators for Dirac's equation on two-dimensional Lorentzian spin manifolds. The formalism is used to characterize the orthonormal frames and metrics that permit the solution of Dirac's equation by separation of variables in the case where a second-order symmetry operator underlies the separation. Separation of variables in complex variables on two-dimensional Minkowski space is also considered. This paper is a contribution to the Special Issue “Symmetry, Separation, Super-integrability and Special Functions (S⁴)”. The full collection is available at http://www.emis.de/journals/SIGMA/S4.html.
 The authors wish to thank their reciprocal institutions, the Dipartimento di Matematica, Universit`a di Torino and the Department of Applied Mathematics, University of Waterloo for hospitality during which parts of this paper were written. The research was supported in part by a Discovery Grant from the Natural Sciences and Engineering Research Council of Canada. en Інститут математики НАН України Symmetry, Integrability and Geometry: Methods and Applications Symmetry Operators and Separation of Variables for Dirac's Equation on Two-Dimensional Spin Manifolds Article published earlier |
| spellingShingle | Symmetry Operators and Separation of Variables for Dirac's Equation on Two-Dimensional Spin Manifolds Carignano, A. Fatibene, L. McLenaghan, R.L. Rastelli, G. |
| title | Symmetry Operators and Separation of Variables for Dirac's Equation on Two-Dimensional Spin Manifolds |
| title_full | Symmetry Operators and Separation of Variables for Dirac's Equation on Two-Dimensional Spin Manifolds |
| title_fullStr | Symmetry Operators and Separation of Variables for Dirac's Equation on Two-Dimensional Spin Manifolds |
| title_full_unstemmed | Symmetry Operators and Separation of Variables for Dirac's Equation on Two-Dimensional Spin Manifolds |
| title_short | Symmetry Operators and Separation of Variables for Dirac's Equation on Two-Dimensional Spin Manifolds |
| title_sort | symmetry operators and separation of variables for dirac's equation on two-dimensional spin manifolds |
| url | https://nasplib.isofts.kiev.ua/handle/123456789/147178 |
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