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International Journal of Theoretical Physics

, Volume 54, Issue 11, pp 4174–4183 | Cite as

Pseudo-Hermitian Interaction Between an Oscillator and a Spin-1/2 Particle in an External Magnetic Field: A Path Integral Approach

  • Mekki Aouachria
Article

Abstract

We use the coherent-state path integral and an angular model for the spin to solve the pseudo-hermitian interaction between an oscillator and a spin-1/2 particle in an external magnetic field. The propagators are given explicitly as a perturbation series and are summed up exactly. The energy spectrum and the bi-orthonormal basis of states are deduced.

Keywords

Path integrals Pseudo-Hermitian Coherent state 

Notes

Acknowledgments

I am grateful to Prof. Lyazid Chetouani for useful discussions and suggestions and to Dr. Yazid Delenda for suggestions regarding the manuscript.

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Copyright information

© Springer Science+Business Media New York 2015

Authors and Affiliations

  1. 1.Laboratoire de Physique Energétique Appliquée (LPEA), Département des Sciences de la Matière, Faculté des SciencesUniversité Hadj LakhdarBatnaAlgeria

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