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Poles of matrix elements of the resolvent connected with the range in an oscillator-boson coupling

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Abstract

In a simple model in which a harmonic oscillator is coupled to massless scalar bosons, we exhibit poles of matrix elements of the resolvent of the Hamiltonian which differ from those usually attributed to the excited levels of the isolated oscillator. We give reasons why one should expect such poles in atomradiation interaction and explain how their importance depends on the range of the interaction.

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Authors and Affiliations

  1. Centre de Physique Théorique, École Polytechnique, 91128, Palaiseau Cedex, France

    C. Billionnet

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  1. C. Billionnet
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Billionnet, C. Poles of matrix elements of the resolvent connected with the range in an oscillator-boson coupling. Eur. Phys. J. D 8, 157–164 (2000). https://doi.org/10.1007/s10053-000-8804-2

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  • DOI: https://doi.org/10.1007/s10053-000-8804-2

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