Single-Pole Interaction of the Particle with the String
Within the framework of generalized Papapetrou method, we derive the effective equations of motion for a string with two particles attached to its ends, along with appropriate boundary conditions. The equations of motion are the usual Nambu-Goto-like equations, while boundary conditions turn out to...
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| Published in: | Symmetry, Integrability and Geometry: Methods and Applications |
|---|---|
| Date: | 2008 |
| Main Authors: | , |
| Format: | Article |
| Language: | English |
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Інститут математики НАН України
2008
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| Online Access: | https://nasplib.isofts.kiev.ua/handle/123456789/148970 |
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| Journal Title: | Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| Cite this: | Single-Pole Interaction of the Particle with the String / M. Vasilic, M. Vojinovic // Symmetry, Integrability and Geometry: Methods and Applications. — 2008. — Т. 4. — Бібліогр.: 8 назв. — англ. |
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Digital Library of Periodicals of National Academy of Sciences of Ukraine| _version_ | 1862613535967674368 |
|---|---|
| author | Vasilic, M. Vojinovic, M. |
| author_facet | Vasilic, M. Vojinovic, M. |
| citation_txt | Single-Pole Interaction of the Particle with the String / M. Vasilic, M. Vojinovic // Symmetry, Integrability and Geometry: Methods and Applications. — 2008. — Т. 4. — Бібліогр.: 8 назв. — англ. |
| collection | DSpace DC |
| container_title | Symmetry, Integrability and Geometry: Methods and Applications |
| description | Within the framework of generalized Papapetrou method, we derive the effective equations of motion for a string with two particles attached to its ends, along with appropriate boundary conditions. The equations of motion are the usual Nambu-Goto-like equations, while boundary conditions turn out to be equations of motion for the particles at the string ends. Various properties of those equations are discussed, and a simple example is treated in detail, exhibiting the properties of Neumann and Dirichlet boundary conditions and giving a small correction term to the law of Regge trajectories due to the nonzero particle mass.
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| first_indexed | 2025-11-29T07:16:36Z |
| format | Article |
| fulltext | |
| id | nasplib_isofts_kiev_ua-123456789-148970 |
| institution | Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| issn | 1815-0659 |
| language | English |
| last_indexed | 2025-11-29T07:16:36Z |
| publishDate | 2008 |
| publisher | Інститут математики НАН України |
| record_format | dspace |
| spelling | Vasilic, M. Vojinovic, M. 2019-02-19T12:15:17Z 2019-02-19T12:15:17Z 2008 Single-Pole Interaction of the Particle with the String / M. Vasilic, M. Vojinovic // Symmetry, Integrability and Geometry: Methods and Applications. — 2008. — Т. 4. — Бібліогр.: 8 назв. — англ. 1815-0659 2000 Mathematics Subject Classification: 83C10; 83C55; 81T30; 70S10 https://nasplib.isofts.kiev.ua/handle/123456789/148970 Within the framework of generalized Papapetrou method, we derive the effective equations of motion for a string with two particles attached to its ends, along with appropriate boundary conditions. The equations of motion are the usual Nambu-Goto-like equations, while boundary conditions turn out to be equations of motion for the particles at the string ends. Various properties of those equations are discussed, and a simple example is treated in detail, exhibiting the properties of Neumann and Dirichlet boundary conditions and giving a small correction term to the law of Regge trajectories due to the nonzero particle mass. This paper is a contribution to the Proceedings of the Seventh International Conference “Symmetry in Nonlinear Mathematical Physics” (June 24–30, 2007, Kyiv, Ukraine). This work was supported by the Serbian Science Foundation, Serbia. A CEI grant for participation in the Seventh International Conference “Symmetry in Nonlinear Mathematical Physics” is gratefully acknowledged. en Інститут математики НАН України Symmetry, Integrability and Geometry: Methods and Applications Single-Pole Interaction of the Particle with the String Article published earlier |
| spellingShingle | Single-Pole Interaction of the Particle with the String Vasilic, M. Vojinovic, M. |
| title | Single-Pole Interaction of the Particle with the String |
| title_full | Single-Pole Interaction of the Particle with the String |
| title_fullStr | Single-Pole Interaction of the Particle with the String |
| title_full_unstemmed | Single-Pole Interaction of the Particle with the String |
| title_short | Single-Pole Interaction of the Particle with the String |
| title_sort | single-pole interaction of the particle with the string |
| url | https://nasplib.isofts.kiev.ua/handle/123456789/148970 |
| work_keys_str_mv | AT vasilicm singlepoleinteractionoftheparticlewiththestring AT vojinovicm singlepoleinteractionoftheparticlewiththestring |