Eur. Phys. J. C 22, 585-592 (2001)
A neutral spinning particle in interaction with a magnetic field and Poschl-Teller potentialA. 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