Innovations in Science and Technologies 2-том 3-нөмір (2025) · 228-239-беттер
ASYMPTOTIC BEHAVIOR OF EIGENVALUES IN DISCRETE SCHRÖDINGER OPERATORS WITH POINT INTERACTION POTENTIAL
Muminov, Zahriddin, Madatova, Fotima, Balqiboyev, Jasur
Аңдатпа
We investigate the one-particle discrete Schrödinger operator with Dirac delta potential on the -dimensional cubic 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.
Schrödinger operatorspectrumeigenvalueFredholm determinanteigenvalue asymptotics
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