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Tr. Mat. Inst. Steklova, 2016, Volume 294, Pages 293–299 (Mi tm3727)  

On upper bounds in the Fröhlich polaron model

N. N. Bogolyubov Jr., A. V. Soldatov

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

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.

DOI: https://doi.org/10.1134/S0371968516030183

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English version:
Proceedings of the Steklov Institute of Mathematics, 2016, 294, 276–282

Bibliographic databases:

Document Type: Article
UDC: 51-72+538.9
Received: April 25, 2016

Citation: N. N. Bogolyubov Jr., A. V. Soldatov, “On upper bounds in the Fröhlich polaron model”, Modern problems of mathematics, mechanics, and mathematical physics. II, Collected papers, Tr. Mat. Inst. Steklova, 294, MAIK Nauka/Interperiodica, Moscow, 2016, 293–299; Proc. Steklov Inst. Math., 294 (2016), 276–282

Citation in format AMSBIB
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\pages 293--299
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  • Труды Математического института им. В. А. Стеклова Proceedings of the Steklov Institute of Mathematics
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