On improvable bounds for polaron systems in an external potential


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A variational approach is proposed that allows one to obtain in a regular way a sequence of improvable upper bounds for the ground-state energy of various polaron models confined in an external electrostatic potential. The proposed approach can be used for an arbitrary electron–phonon interaction constant and allows generalization to the case of polaron-type systems in a constant external magnetic field.

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N. Bogolyubov

Steklov Mathematical Institute

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

A. Soldatov

Steklov Mathematical Institute

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

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