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
NashriyotТошкент давлат иқтисодиёт университети
ISSN3030-3451
Nashr sanasi2025-05-12
Jild2
Son3
Betlar228-239
TilIngliz
Ilmiy sohaIqtisodiyot
Indeksga qo‘shilgan2026-08-26

Maqolaning asl sahifasi

Kalit so‘zlar

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

Ilmiy soha

Iqtisodiyot

Iqtibos keltirish

APAMuminov , Zahriddin, Madatova , Fotima, & Balqiboyev , Jasur (2025). ASYMPTOTIC BEHAVIOR OF EIGENVALUES IN DISCRETE SCHRÖDINGER OPERATORS WITH POINT INTERACTION POTENTIAL. Innovations in Science and Technologies, 2(3), 228-239. https://innoist.uz/index.php/ist/article/view/726
GOST (OAK)Muminov , Zahriddin, Madatova , Fotima, Balqiboyev , Jasur ASYMPTOTIC BEHAVIOR OF EIGENVALUES IN DISCRETE SCHRÖDINGER OPERATORS WITH POINT INTERACTION POTENTIAL // Innovations in Science and Technologies. – 2025. – T. 2, № 3. – P. 228-239.
MLAMuminov , Zahriddin, Madatova , Fotima, and Balqiboyev , Jasur. “ASYMPTOTIC BEHAVIOR OF EIGENVALUES IN DISCRETE SCHRÖDINGER OPERATORS WITH POINT INTERACTION POTENTIAL.” Innovations in Science and Technologies, 2(3), 228-239, 2025. https://innoist.uz/index.php/ist/article/view/726
ChicagoMuminov , Zahriddin, Madatova , Fotima, and Balqiboyev , Jasur. “ASYMPTOTIC BEHAVIOR OF EIGENVALUES IN DISCRETE SCHRÖDINGER OPERATORS WITH POINT INTERACTION POTENTIAL.” Innovations in Science and Technologies, 2(3), 228-239 (2025). https://innoist.uz/index.php/ist/article/view/726
HarvardMuminov , Zahriddin, Madatova , Fotima, and Balqiboyev , Jasur (2025) ‘ASYMPTOTIC BEHAVIOR OF EIGENVALUES IN DISCRETE SCHRÖDINGER OPERATORS WITH POINT INTERACTION POTENTIAL’, Innovations in Science and Technologies, 2(3), 228-239. https://innoist.uz/index.php/ist/article/view/726
BibTeX
@article{muminovzahriddin2025,
  title = {ASYMPTOTIC BEHAVIOR OF EIGENVALUES IN DISCRETE SCHRÖDINGER OPERATORS WITH POINT INTERACTION POTENTIAL},
  author = {Muminov , Zahriddin and Madatova , Fotima and Balqiboyev , Jasur},
  journal = {Innovations in Science and Technologies},
  year = {2025},
  volume = {2},
  number = {3},
  pages = {228-239},
  url = {https://innoist.uz/index.php/ist/article/view/726}
}

Boshqa maqola uchun iqtibos tayyorlash

Innovations in Science and Technologies jurnalidan boshqa maqolalar

Innovations in Science and Technologies — barcha maqolalar · 2025-yil arxivi

Muminov , Zahriddin — boshqa maqolalari

Iqtisodiyot sohasidagi boshqa maqolalar

Iqtisodiyot sohasidagi OAK jurnallari