The Lagrangian and Hamiltonian analysis of some relativistic electrodynamics models and their quantization
The work is devoted to the study of the Lagrangian and Hamiltonian properties of some relativistic electrodynamics
 models and is a continuation of our previous investigations. Based on the vacuum field theory
 approach, the Lagrangian and Hamiltonian reformulation of some classical...
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| Published in: | Condensed Matter Physics |
|---|---|
| Date: | 2009 |
| Main Authors: | , |
| Format: | Article |
| Language: | English |
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Інститут фізики конденсованих систем НАН України
2009
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| Online Access: | https://nasplib.isofts.kiev.ua/handle/123456789/120333 |
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| Journal Title: | Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| Cite this: | The Lagrangian and Hamiltonian analysis of some relativistic electrodynamics models and their quantization / N.N. Bogolubov (Jr.), A.K. Prykarpatsky // Condensed Matter Physics. — 2009. — Т. 12, № 4. — С. 603-616. — Бібліогр.: 38 назв. — англ. |
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Digital Library of Periodicals of National Academy of Sciences of Ukraine| _version_ | 1862708120228200448 |
|---|---|
| author | Bogolubov (Jr.), N.N. Prykarpatsky, A.K. |
| author_facet | Bogolubov (Jr.), N.N. Prykarpatsky, A.K. |
| citation_txt | The Lagrangian and Hamiltonian analysis of some relativistic electrodynamics models and their quantization / N.N. Bogolubov (Jr.), A.K. Prykarpatsky // Condensed Matter Physics. — 2009. — Т. 12, № 4. — С. 603-616. — Бібліогр.: 38 назв. — англ. |
| collection | DSpace DC |
| container_title | Condensed Matter Physics |
| description | The work is devoted to the study of the Lagrangian and Hamiltonian properties of some relativistic electrodynamics
models and is a continuation of our previous investigations. Based on the vacuum field theory
approach, the Lagrangian and Hamiltonian reformulation of some classical electrodynamics models is devised.
The Dirac type quantization procedure, based on the canonical Hamiltonian formulation, is developed.
Within the approach proposed in the work a possibility of the combined description both of electrodynamics
and gravity is analyzed.
Робота присвячена вивченню лагранжевих та гамiльтонових властивостей деяких релятивiстичних моделей електродинамiки i продовжує нашi попереднi дослiдження. Базуючись на теоретикопольовому пiдходi, розроблено Лагранжеве та Гамiльтонове формулювання деяких класичних моделей електродинамiки. Розвинуто процедуру квантування типу Дiрка, що базується на класичному гамiльтоновому формулюваннi. В рамках запропонованого пiдходу аналiзується можливiсть комбiнованого опису електродинамiки i гравiтацiї.
|
| first_indexed | 2025-12-07T17:09:35Z |
| format | Article |
| fulltext | |
| id | nasplib_isofts_kiev_ua-123456789-120333 |
| institution | Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| issn | 1607-324X |
| language | English |
| last_indexed | 2025-12-07T17:09:35Z |
| publishDate | 2009 |
| publisher | Інститут фізики конденсованих систем НАН України |
| record_format | dspace |
| spelling | Bogolubov (Jr.), N.N. Prykarpatsky, A.K. 2017-06-11T16:51:57Z 2017-06-11T16:51:57Z 2009 The Lagrangian and Hamiltonian analysis of some relativistic electrodynamics models and their quantization / N.N. Bogolubov (Jr.), A.K. Prykarpatsky // Condensed Matter Physics. — 2009. — Т. 12, № 4. — С. 603-616. — Бібліогр.: 38 назв. — англ. 1607-324X PACS: 11.10.Wx, 05.30.-d DOI:10.5488/CMP.12.4.603 https://nasplib.isofts.kiev.ua/handle/123456789/120333 The work is devoted to the study of the Lagrangian and Hamiltonian properties of some relativistic electrodynamics
 models and is a continuation of our previous investigations. Based on the vacuum field theory
 approach, the Lagrangian and Hamiltonian reformulation of some classical electrodynamics models is devised.
 The Dirac type quantization procedure, based on the canonical Hamiltonian formulation, is developed.
 Within the approach proposed in the work a possibility of the combined description both of electrodynamics
 and gravity is analyzed. Робота присвячена вивченню лагранжевих та гамiльтонових властивостей деяких релятивiстичних моделей електродинамiки i продовжує нашi попереднi дослiдження. Базуючись на теоретикопольовому пiдходi, розроблено Лагранжеве та Гамiльтонове формулювання деяких класичних моделей електродинамiки. Розвинуто процедуру квантування типу Дiрка, що базується на класичному гамiльтоновому формулюваннi. В рамках запропонованого пiдходу аналiзується можливiсть комбiнованого опису електродинамiки i гравiтацiї. The Authors are cordially thankful to the Abdus Salam International Centre for Theoretical
 Physics in Trieste, Italy, for the hospitality during their research 2007{2008 scholarships, and
 to the Institute for Condensed Matter Physics for the invitation to take part in the International
 Conference \Statistical Physics" held in Lviv, Ukraine, during 23{30 June 2009. A. P. is, especially,
 grateful to Profs. P.I. Holod (Kyiv, UKMA), J.M. Stakhira (Lviv, NUL), U. Taneri (Cyprus, EMU),
 J. S lawianowski (Warsaw, IPPT), Z. Peradzy nski (Warsaw, UW) and M. B laszak (Pozna n, UP)
 for fruitful discussions, useful comments and remarks. Last but not least thanks go to academician
 Prof. A.A. Logunov for his interest to the work, as well as to Mrs. Dilys Grilli (Trieste, Publications
 o ce, ICTP) and Natalia K. Prykarpatska for professional help in preparing the manuscript for
 publication. en Інститут фізики конденсованих систем НАН України Condensed Matter Physics The Lagrangian and Hamiltonian analysis of some relativistic electrodynamics models and their quantization Лагранжiв та Гамiльтонiв аналiз деяких релятивiстичних моделей електродинамiки та їх квантування Article published earlier |
| spellingShingle | The Lagrangian and Hamiltonian analysis of some relativistic electrodynamics models and their quantization Bogolubov (Jr.), N.N. Prykarpatsky, A.K. |
| title | The Lagrangian and Hamiltonian analysis of some relativistic electrodynamics models and their quantization |
| title_alt | Лагранжiв та Гамiльтонiв аналiз деяких релятивiстичних моделей електродинамiки та їх квантування |
| title_full | The Lagrangian and Hamiltonian analysis of some relativistic electrodynamics models and their quantization |
| title_fullStr | The Lagrangian and Hamiltonian analysis of some relativistic electrodynamics models and their quantization |
| title_full_unstemmed | The Lagrangian and Hamiltonian analysis of some relativistic electrodynamics models and their quantization |
| title_short | The Lagrangian and Hamiltonian analysis of some relativistic electrodynamics models and their quantization |
| title_sort | lagrangian and hamiltonian analysis of some relativistic electrodynamics models and their quantization |
| url | https://nasplib.isofts.kiev.ua/handle/123456789/120333 |
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