ASYMPTOTIC BEHAVIOR OF EIGENVALUES IN DISCRETE SCHRÖDINGER OPERATORS WITH POINT INTERACTION POTENTIAL

Muminov , Zahriddin, Madatova , Fotima, Balqiboyev , Jasur

Innovations in Science and Technologies · 2025-yil

Annotatsiya

 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. 

Maqola ma’lumotlari
MualliflarMuminov , Zahriddin, Madatova , Fotima, Balqiboyev , Jasur
JurnalInnovations in Science and Technologies
Nashr sanasi2025-05-12
Jild2
Son3
Betlar228-239
TilIngliz

Kalit so‘zlar

Schrödinger operator, spectrum, eigenvalue, Fredholm determinant, eigenvalue asymptotics

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