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

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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.

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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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Authors and Affiliations

  1. Laboratoire de Physique Energétique Appliquée (LPEA), Département des Sciences de la Matière, Faculté des Sciences, Université Hadj Lakhdar, Batna, Algeria

    Mekki Aouachria

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  1. Mekki Aouachria
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Correspondence to Mekki Aouachria.

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Aouachria, M. Pseudo-Hermitian Interaction Between an Oscillator and a Spin-1/2 Particle in an External Magnetic Field: A Path Integral Approach. Int J Theor Phys 54, 4174–4183 (2015). https://doi.org/10.1007/s10773-015-2536-z

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  • DOI: https://doi.org/10.1007/s10773-015-2536-z

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