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Trudy Matematicheskogo Instituta imeni V.A. Steklova, 2016, Volume 294, Pages 293–299
DOI: https://doi.org/10.1134/S0371968516030183 (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
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DOI: https://doi.org/10.1134/S0371968516030183
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.
Received: April 25, 2016
English version:
Proceedings of the Steklov Institute of Mathematics, 2016, Volume 294, Pages 276–282
DOI: https://doi.org/10.1134/S0081543816060183
Bibliographic databases:
Document Type: Article
UDC: 51-72+538.9
Language: Russian
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, Trudy 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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\paper On upper bounds in the Fr\"ohlich polaron model
\inbook Modern problems of mathematics, mechanics, and mathematical physics.~II
\bookinfo Collected papers
\serial Trudy Mat. Inst. Steklova
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\vol 294
\pages 293--299
\publ MAIK Nauka/Interperiodica
\publaddr Moscow
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    		Труды Математического института имени В. А. Стеклова Proceedings of the Steklov Institute of Mathematics
     
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