CHINESE JOURNAL OF PHYSICS VOL. 38, NO. 6 DECEMBER 2000

Path Integral for the Coulomb Problem in the Feshbach-Villars Formalism

T. Boudjedaa, L. Chetouani and M. Merad

Depártment de Physique, Faculté des Sciences,

Université Mentouri, 25000 Constantine, Algérie
(Received March 23, 2000)

In this paper, we propose to construct a path integral formalism for a spinless particle in the Feshbach-Villars formalism. The Pauli matrices describing the isocharge symmetry are replaced by the bosonic Schwinger model and the coherent state representation is then used. The radial free case is determined via the Foldy-Wouthuysen canonical transformation and the important case of the Coulomb potential is investigated. The Green functions are evaluated and the energy spectrum and corresponding wave functions are exactly deduced.

PACS. 03.65.Db $\,$- Functional analytical methods.
PACS. 03.65.Pm - Relativistic wave equations.
PACS. 03.65.Ge $\,$- Solutions of wave equations: bound states.

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