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

  • A. Merdaci
  • T. Boudjedaa
  • L. Chetouani
Theoretical physics

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.

Keywords

Magnetic Field Angular Momentum Current Source Path Integral Laplace Transformation 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

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Copyright information

© Springer-Verlag Berlin Heidelberg / Società Italiana di Fisica 2001

Authors and Affiliations

  • A. Merdaci
    • 1
  • T. Boudjedaa
    • 1
  • L. Chetouani
    • 1
  1. 1.Département de Physique, Faculté des Sciences, Université Mentouri, 25000 Constantine, AlgérieDZ

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