Bifurcation sets of the self-consistent flow in generalized SU(2) models
We analyze the possible bifurcations of the stationary points of the self-consistent flow on the Bloch sphere. We propose a generalized SU(2) model Hamiltonian for which, by means of a geometrically simple classification, we find the topologically invariant regions of the mean field flow in the spac...
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| Formato: | Capítulo de libro |
| Lenguaje: | Inglés |
| Publicado: |
1988
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| Acceso en línea: | Registro en Scopus DOI Handle Registro en la Biblioteca Digital |
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| LEADER | 03616caa a22004817a 4500 | ||
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| 001 | PAPER-742 | ||
| 003 | AR-BaUEN | ||
| 005 | 20230518203004.0 | ||
| 008 | 190411s1988 xx ||||fo|||| 00| 0 eng|d | ||
| 024 | 7 | |2 scopus |a 2-s2.0-35949008703 | |
| 040 | |a Scopus |b spa |c AR-BaUEN |d AR-BaUEN | ||
| 100 | 1 | |a Vignolo, C.E. | |
| 245 | 1 | 0 | |a Bifurcation sets of the self-consistent flow in generalized SU(2) models |
| 260 | |c 1988 | ||
| 270 | 1 | 0 | |m Vignolo, C.E.; Departamento de Física, Facultad de Ciencias Exactas y Naturales, Universidad de Buenos Aires, 1428 Buenos Aires, Argentina |
| 506 | |2 openaire |e Política editorial | ||
| 504 | |a Abraham, R., Mardsden, J.E., (1978) Foundations of Mechanics, , Benjamin, Reading, Mass | ||
| 504 | |a Gilmore, R., (1978) Catastrophe Theory for Scientists and Engineers, , Wiley, New York | ||
| 504 | |a Feng, Gilmore, R., (1982) Phys. Rev. C, 26, p. 1244 | ||
| 504 | |a Da Hsuan Feng and R. Gilmore (unpublished); Jezek, D.M., Hernández, E.S., Solari, H.G., (1986) Phys. Rev. C, 34, p. 297 | ||
| 504 | |a Jezek, D.M., Hernández, E.S., (1987) Phys. Rev. C, 35, p. 1555 | ||
| 504 | |a Kan, K.K., Lichtner, P.C., Dworzecka, M., Griffin, J.J., (1980) Phys. Rev. C, 21, p. 21 | ||
| 504 | |a Rowe, D.Y., Ryman, A., Rosensteel, G., (1980) Phys. Rev. A, 22, p. 2362 | ||
| 504 | |a Dirac, D.A.M., (1930) Proc. Cambridge Philos. Soc., 26, p. 376 | ||
| 504 | |a Lipkin, H., Meshkov, N., Glick, A., (1965) Nucl. Phys., 62, p. 188 | ||
| 504 | |a Gilmore, R., (1974) Rev. Mexicana Fis., 23, p. 143 | ||
| 504 | |a Lie Groups, Lie Algebras, and Some of Their Applications (Wiley, New York, 1974); Krieger, S.J., (1977) Nucl. Phys., 276 A, p. 12 | ||
| 504 | |a Solari, H.G., Hernández, E.S., (1983) Phys. Rev. C, 28, p. 2472 | ||
| 504 | |a Solari, H.G., Hernández, E.S., (1985) Phys. Rev. C, 32, p. 462 | ||
| 504 | |a Arnold, V.I., (1973) Ordinary Differential Equations, , MIT Press, Cambridge | ||
| 520 | 3 | |a We analyze the possible bifurcations of the stationary points of the self-consistent flow on the Bloch sphere. We propose a generalized SU(2) model Hamiltonian for which, by means of a geometrically simple classification, we find the topologically invariant regions of the mean field flow in the space of interaction parameters. The borders of these regions are the bifurcation sets corresponding to general nonthermodynamic phase transitions. When these separatrices are crossed, the mean field flow undergoes a qualitative change. We also examine the consequences of the catastrophical configurations on the exact dynamics in quasispin space. © 1988 The American Physical Society. |l eng | |
| 593 | |a Departamento de Física, Facultad de Ciencias Exactas y Naturales, Universidad de Buenos Aires, 1428 Buenos Aires, Argentina | ||
| 700 | 1 | |a Jezek, D.M. | |
| 700 | 1 | |a Hernandez, E.S. | |
| 773 | 0 | |d 1988 |g v. 38 |h pp. 506-513 |k n. 1 |x 05562813 |w (AR-BaUEN)CENRE-385 |t Physical Review C | |
| 856 | 4 | 1 | |u https://www.scopus.com/inward/record.uri?eid=2-s2.0-35949008703&doi=10.1103%2fPhysRevC.38.506&partnerID=40&md5=29f1f43632b304397ab764401c30cb13 |y Registro en Scopus |
| 856 | 4 | 0 | |u https://doi.org/10.1103/PhysRevC.38.506 |y DOI |
| 856 | 4 | 0 | |u https://hdl.handle.net/20.500.12110/paper_05562813_v38_n1_p506_Vignolo |y Handle |
| 856 | 4 | 0 | |u https://bibliotecadigital.exactas.uba.ar/collection/paper/document/paper_05562813_v38_n1_p506_Vignolo |y Registro en la Biblioteca Digital |
| 961 | |a paper_05562813_v38_n1_p506_Vignolo |b paper |c PE | ||
| 962 | |a info:eu-repo/semantics/article |a info:ar-repo/semantics/artículo |b info:eu-repo/semantics/publishedVersion | ||
| 963 | |a VARI | ||
| 999 | |c 61695 | ||