DIRAC CONFINEMENT BY A VARIATIONAL APPROACH

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Data

1992-07-01

Autores

Tomio, L.
Ferreira, P. L.

Título da Revista

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Título de Volume

Editor

Editrice Compositori Bologna

Resumo

An analytical approximate method for the Dirac equation with confining power law scalar plus vector potentials, applicable to the problem of the relativistic quark confinement, is presented. The method consists in an improved version of a saddle-point variational approach and it is applied to the fundamental state of massless single quarks for some especial cases of physical interest. Our treatment emphasizes aspects such as the quantum-mechanical relativistic Virial theorem, the saddle-point character of the critical point of the expectation value of the total energy, as well as the Klein paradox and the behaviour of the saddle-point variational energies and wave functions.

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Palavras-chave

OTHER TOPICS IN MATHEMATICAL METHODS IN PHYSICS, POTENTIAL MODELS, BAG MODELS AND OTHER PHENOMENOLOGICAL QUARK MODELS

Como citar

Nuovo Cimento Della Societa Italiana Di Fisica B-general Physics Relativity Astronomy and Mathematical Physics and Methods. Bologna: Editrice Compositori Bologna, v. 107, n. 7, p. 785-798, 1992.