Artículo
Weakly (and not so weakly) bound states of a relativistic particle in one dimension
Fecha de publicación:
08/2018
Editorial:
Elsevier Science
Revista:
Physics Letters A
ISSN:
0375-9601
Idioma:
Inglés
Tipo de recurso:
Artículo publicado
Clasificación temática:
Resumen
We present the first exact calculation of the energy of the bound state of a one dimensional Dirac massive particle in weak short-range arbitrary potentials, using perturbation theory to fourth order (the analogous result for two dimensional systems with confinement along one direction and arbitrary mass is also calculated to second order). We show that the non-perturbative extension obtained using Padé approximants can provide remarkably good approximations even for deep wells, in certain range of physical parameters. As an example, we discuss the case of two gaussian wells, comparing numerical and analytical results, predicted by our formulas.
Palabras clave:
BOUND STATES IN THE CONTINUUM
,
PERTURBATION THEORY
,
QUANTUM WELLS
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Articulos(INIFTA)
Articulos de INST.DE INV.FISICOQUIMICAS TEORICAS Y APLIC.
Articulos de INST.DE INV.FISICOQUIMICAS TEORICAS Y APLIC.
Citación
Amore, Paolo; Fernández, Francisco Marcelo; Jiménez, Enrique; Weakly (and not so weakly) bound states of a relativistic particle in one dimension; Elsevier Science; Physics Letters A; 382; 32; 8-2018; 2097-2102
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