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Particles and Fields

Eur. Phys. J. C 22, 585-592 (2001)
DOI: 10.1007/s100520100820

A neutral spinning particle in interaction with a magnetic field and Poschl-Teller potential

A. Merdaci, T. Boudjedaa and L. Chetouani

Département de Physique, Faculté des Sciences, Université Mentouri, 25000 Constantine, Algérie

(Received: 29 June 2001 / Published online: 23 November 2001 - © Springer-Verlag / Società Italiana di Fisica 2001 )

The problem of a neutral spinning particle in interaction with a linear increasing rotating magnetic field and a Poschl-Teller potential is considered via path integrals. The calculations are carried out explicitly using an external current source. The problem is then reduced to that of a spinning forced Poschl-Teller oscillator whose spin is coupled to external derivative current sources. The result of the propagator is given as a series. The relative propagator of this forced oscillator is converted to that of an angular momentum via an extension of the dimension. Next, the series is exactly summed by means of a Laplace transformation and the orthonormalization relation of the eigenfunctions of the angular momentum.

© Società Italiana di Fisica, Springer-Verlag 2001