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On upper bounds in the Fröhlich polaron model

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Abstract

We show that a sequence of improving upper bounds to the ground state energy of the quantized Fröhlich polaron model can be obtained in a regular way by means of combining a variational method originated from the theory of coherent states with a generalized variational approach in quantum mechanics. Due to their variational nature, these bounds hold for arbitrary strength of the electron–phonon interaction.

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Authors and Affiliations

  1. Steklov Mathematical Institute of Russian Academy of Sciences, ul. Gubkina 8, Moscow, 119991, Russia

    N. N. Bogolubov Jr & A. V. Soldatov

Authors
  1. N. N. Bogolubov Jr
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  2. A. V. Soldatov
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Corresponding author

Correspondence to N. N. Bogolubov Jr.

Additional information

Published in Russian in Trudy Matematicheskogo Instituta imeni V.A. Steklova, 2016, Vol. 294, pp. 293–299.

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Bogolubov Jr, N.N., Soldatov, A.V. On upper bounds in the Fröhlich polaron model. Proc. Steklov Inst. Math. 294, 276–282 (2016). https://doi.org/10.1134/S0081543816060183

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  • DOI: https://doi.org/10.1134/S0081543816060183

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