SPECTRAL ASYMPTOTICS OF DISCRETE SCHRÖDINGER OPERATORS UNDER POINT INTERACTION POTENTIALS"
Keywords:
Schrödinger operator, spectrum, eigenvalue, Fredholm determinant, eigenvalue asymptotics.Abstract
We investigate the one-particle discrete Schrödinger operator with Dirac delta potential on the -dimensional lattice. We show that the operator the operator has a unique eigenvalue and obtain an asymptotics expansion for this eigenvalue as wight of potential approaches the infinity.
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