On upper bounds in the Fröhlich polaron model


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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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N. Bogolubov Jr

Steklov Mathematical Institute of Russian Academy of Sciences

编辑信件的主要联系方式.
Email: nikolai_bogolubov@hotmail.com
俄罗斯联邦, ul. Gubkina 8, Moscow, 119991

A. Soldatov

Steklov Mathematical Institute of Russian Academy of Sciences

Email: nikolai_bogolubov@hotmail.com
俄罗斯联邦, ul. Gubkina 8, Moscow, 119991

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