Symplectic Representation of the Ginzburg-Landau Theory
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arXiv
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| Autores principales: | , , , , , |
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| Formato: | Preprint |
| Publicado: |
2024
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| _version_ | 1866909227193204736 |
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| author | Reis, E. A. Petronilo, G. X. A. Amorim, R. G. G. Belich, H. Khanna, F. C. Santana, A. E. |
| author_facet | Reis, E. A. Petronilo, G. X. A. Amorim, R. G. G. Belich, H. Khanna, F. C. Santana, A. E. |
| contents | In this work, the Ginzburg-Landau theory is represented on a symplectic manifold with a phase space content. The order parameter is defined by a quasi-probability amplitude, which gives rise to a quasi-probability distribution function, i.e., a Wigner-type function. The starting point is the thermal group representation of Euclidean symmetries and gauge symmetry. Well-known basic results on the behavior of a superconductor are re-derived, providing the consistency of representation. The critical superconducting current density is determined and its usual behavior is inferred. The negativety factor associated with the quasi-distribution function is analyzed, providing information about the non-classicality nature of the superconductor state in the region closest to the edge of the superconducting material. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2406_13047 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Symplectic Representation of the Ginzburg-Landau Theory Reis, E. A. Petronilo, G. X. A. Amorim, R. G. G. Belich, H. Khanna, F. C. Santana, A. E. Superconductivity Mathematical Physics In this work, the Ginzburg-Landau theory is represented on a symplectic manifold with a phase space content. The order parameter is defined by a quasi-probability amplitude, which gives rise to a quasi-probability distribution function, i.e., a Wigner-type function. The starting point is the thermal group representation of Euclidean symmetries and gauge symmetry. Well-known basic results on the behavior of a superconductor are re-derived, providing the consistency of representation. The critical superconducting current density is determined and its usual behavior is inferred. The negativety factor associated with the quasi-distribution function is analyzed, providing information about the non-classicality nature of the superconductor state in the region closest to the edge of the superconducting material. |
| title | Symplectic Representation of the Ginzburg-Landau Theory |
| topic | Superconductivity Mathematical Physics |
| url | https://arxiv.org/abs/2406.13047 |