Artículo
Existence of ground states for a one-dimensional relativistic schrödinger equation
Fecha de publicación:
06/2012
Editorial:
American Institute of Physics
Revista:
Journal of Mathematical Physics
ISSN:
0022-2488
Idioma:
Inglés
Tipo de recurso:
Artículo publicado
Clasificación temática:
Resumen
Relativistic Schrödinger equation with a nonlinear potential interaction describes the dynamics of a particle, with rest mass m, travelling to a significant fraction |v| < 1 of the light speed c = 1. At first, we deal with the local and global existence of solutions of the flux, and in the second term, and according to the relativistic nature of the problem, we look for boosted solitons as ψ(x, t) = eiμtφv(x - vt), where the profile φ v ∈ H 1/2 (R{double-struck}) is a minimizer of a suitable variational problem. Our proof uses a concentration-compactness-type argument. Stability results for the boosted solitons are established.
Palabras clave:
GROUND STATES
,
NONLINEAR EQUATION
,
SCHROEDINGER EQUATION
,
SOLITONS
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Articulos(IMAS)
Articulos de INSTITUTO DE INVESTIGACIONES MATEMATICAS "LUIS A. SANTALO"
Articulos de INSTITUTO DE INVESTIGACIONES MATEMATICAS "LUIS A. SANTALO"
Citación
Borgna, Juan Pablo; Rial, Diego Fernando; Existence of ground states for a one-dimensional relativistic schrödinger equation; American Institute of Physics; Journal of Mathematical Physics; 53; 6; 6-2012; 1-19
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