Breadcrumb
Exact asymptotic behaviour of the Pekar-Tomasevich functional
Mon 28 January 2013, 16:00
Rafael Benguria
Pontificia Universidad Catolica de Chile
Organiser: Michiel van den Berg
ABSTRACT
We present an exact limiting expression for the
ground-state energy of the Pekar-Tomasevich functional of the
N-polaron when the number of electrons tends to infinity. This we do
in the interior of what is known as the non-physical region, in which
the repulsion parameter of the electrons is smaller than or equal to
(depending on units) twice the value of the coupling constant of the
polaron. We also find the true ground-state energy of this functional
when the repulsion parameter is set equal to zero, and the expression
is valid for any number of electrons. Joint work with G. Bley (Santiago).