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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| Видавець: | Інститут математики НАН України |
|---|---|
| Дата: | 2011 |
| Автори: | , , , |
| Формат: | Стаття |
| Мова: | English |
| Опубліковано: |
Інститут математики НАН України
2011
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| Назва видання: | Symmetry, Integrability and Geometry: Methods and Applications |
| Онлайн доступ: | http://dspace.nbuv.gov.ua/handle/123456789/147178 |
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| Цитувати: | 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. |
Репозиторії
Digital Library of Periodicals of National Academy of Sciences of Ukraine| id |
irk-123456789-147178 |
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irk-123456789-1471782019-02-14T01:24:33Z Symmetry Operators and Separation of Variables for Dirac's Equation on Two-Dimensional Spin Manifolds Carignano, A. Fatibene, L. McLenaghan, R.L. Rastelli, G. 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. 2011 Article 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 http://dspace.nbuv.gov.ua/handle/123456789/147178 en Symmetry, Integrability and Geometry: Methods and Applications Інститут математики НАН України |
| institution |
Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| collection |
DSpace DC |
| language |
English |
| 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. |
| format |
Article |
| author |
Carignano, A. Fatibene, L. McLenaghan, R.L. Rastelli, G. |
| spellingShingle |
Carignano, A. Fatibene, L. McLenaghan, R.L. Rastelli, G. Symmetry Operators and Separation of Variables for Dirac's Equation on Two-Dimensional Spin Manifolds Symmetry, Integrability and Geometry: Methods and Applications |
| author_facet |
Carignano, A. Fatibene, L. McLenaghan, R.L. Rastelli, G. |
| author_sort |
Carignano, A. |
| title |
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_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_sort |
symmetry operators and separation of variables for dirac's equation on two-dimensional spin manifolds |
| publisher |
Інститут математики НАН України |
| publishDate |
2011 |
| url |
http://dspace.nbuv.gov.ua/handle/123456789/147178 |
| 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. |
| series |
Symmetry, Integrability and Geometry: Methods and Applications |
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