On the Magnetic Pekar Functional and the Existence of Bipolarons

Details On the Magnetic Pekar Functional and the Existence of Bipolarons On the Magnetic Pekar Functional and the Existence of Bipolarons

2011-11-07

arxiv.org/abs/1111.1624v1

Physics

Mathematical Physics

13 pages

Scientific paper

First, this paper proves the existence of a minimizer for the Pekar
functional including a constant magnetic field and possibly some additional
local fields that are energy reducing. Second, the existence of the
aforementioned minimizer is used to establish the binding of polarons in the
model of Pekar-Tomasevich including external fields.

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