Solitones topológicos: Cúmulos de energía / Topological solitons: Lumps of energy
Palabras clave:
solitón, dispersión, modelo CP1, scattering, CP1 model.Resumen
Presentamos soluciones holomórficas caracterizadas por índices homotópicos en el modelo sigma CP1 periódico, las cuales son cúmulos de energía conocidos como solitones topológicos. Estudiamos algunos aspectos de estabilidad y dispersión para el caso de dos solitones.
Abstract
We present holomorphic solutions characterised by homotopic indices in the periodic CP1 sigma model, solutionswhic are lumps of energy known as topological solitons. We study some stability and scattering aspects for the case of two solitons.
Descargas
Referencias
Yang C. N. and Mills R. L., Conservation of Isotopic Spin and Isotopic Gauge Invariance, Phys. Rev. 96, 191 (1954).
Yakushevich L. V., Nonlinear dynamics of biopolymers: theoretical models, experimental data, Quarterly Review Biophys., 26, 201-223 (1993).
Skyrme T. H., A unified field theory of mesons and baryons, Nuclear Physics, 31, 556-569 (1962).
Zakrzewski W. J. Low Dimensional Sigma Models Adam Hilger (1989).
Nielsen H. B. and Olesen P., Vortex-line models for dual strings, Nuclear Physics, B-61, 45-61 (1973).
Ginzburg V. L., Landau L. D. Zh. Eksp. Teor. Fiz. 20, 1064 (1950).
Nakahara M. Geometry, topology and Physics, IOP publishing, Bristol and Philadelphia (1990).
Eells J. and Lemaire L., on the construction of harmonic and holomorphic maps between surfaces, Math. Ann., 252, 27-52 (1980).
Eells J. and Lemaire L., A report on harmonic maps, Bull. London Soc., 10, 1-68 (1978).
Perelomov A. M., Group theoretical Interpretation of the Korteweg de Vries type equations, Physica D4, Volume 3, Issue 1, 45-61 (1981).
Belavin A. A. and Poliakov A. M., Metastable states of two-dimensional Isotropic ferromagnets, JETP Letters, 22, 245-246 (1975).
Lemaire L., Harmonic nonholomorphic maps from a surface to a sphere, Proc. Amer. Math., Society, 71, 299-304 (1978).
Goursat E. Functions of a complex variable Dover Publications (1916).
Leese R. A., Peyrard M. and Zakrzewski W., Soliton Scatterings in some relativistic models in (2+1) Dimensions, J. Nonlinearity, Volume 3, 773-808 (1990).
Cova R., Shyrmion Scattering in (2+1) dimensions, Helvetica Physica Acta, 68, 282-296 (1995).
Cova R. and Zakrzewski W., Soliton scattering in the O(3) model on a Taurus, J. Nonlinearity, Volu- men 10, 1305-1318, september (1997).
Cova R., Solitones Topológicos II: modelo- σ CP1, Ciencia Vol. 16, Número 4, 409-417 (2008).
Descargas
Publicado
Número
Sección
Licencia
Derechos de autor 2012 @copyright
Esta obra está bajo una licencia Creative Commons Reconocimiento 3.0 Unported.
Avenida 2 “El Milagro”, entrada autónoma de la 