Annotation
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.
Received: 2016 March 13
Approved: 2016 October 12
PACS:
02.00.00 Mathematical methods in physics
71.38.-k Polarons and electron-phonon interactions
73.21.La Quantum dots
71.38.-k Polarons and electron-phonon interactions
73.21.La Quantum dots
© 2016 Publisher M.V.Lomonosov Moscow State University
Authors
N.N. Bogolubov, A.V. Soldatov
Steklov Mathematical Institute, Russian Academy of Sciences. Gubkina Str. 8, Moscow 119991, Russia
Steklov Mathematical Institute, Russian Academy of Sciences. Gubkina Str. 8, Moscow 119991, Russia
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