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. ChetouaniDépartement 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 )
Abstract
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
