Virtual beams and the Klein paradox for the Klein-Gordon equation



Título del documento: Virtual beams and the Klein paradox for the Klein-Gordon equation
Revista: Revista mexicana de física E
Base de datos: PERIÓDICA
Número de sistema: 000427304
ISSN: 1870-3542
Autors: 1
1
1
Institucions: 1Universidad Autónoma de San Luís Potosí, Facultad de Ciencias, San Luis Potosí. México
Any:
Període: Ene-Jun
Volum: 64
Número: 1
País: México
Idioma: Inglés
Tipo de documento: Artículo
Enfoque: Analítico, teórico
Resumen en inglés Whenever we consider any relativistic quantum wave equation we are confronted with the Klein paradox, which asserts that incident particles will suffer a surplus of reflection when dispersed by a discontinuous potential. Following recent results on the Dirac equation, we propose a solution to this paradox for the Klein-Gordon case by introducing virtual beams in a natural well-posed generalization of the method of images in the theory of partial differential equations. Thus, our solution considers a global reflection coefficient obtained from the two contributions, the reflected particles plus the incident virtual particles. Despite its simplicity, this method allows a reasonable understanding of the paradox within the context of the quantum relativistic theory of particles (according to the original setup for the Klein paradox) and without resorting to any quantum field theoretic issues
Disciplines Física y astronomía
Paraules clau: Física,
Ecuación Klein-Gordon,
Paradoja de Klein,
Método de imágenes
Keyword: Physics,
Klein-Gordon equation,
Klein paradox,
Method of images
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