Spectral and threshold analysis of the laplacian with non-local potential in four-dimensional lattice

Kurbonov, O. I., Bolqiboyev, J. B., Hamroyeva, F. B.

Innovations in Science and Technologies · 2025-yil

Annotatsiya

Eigenvalue behaviour of a family of discrete Schrödinger operators depending on parameter is studied on the three-dimensional lattice . The non-local potential is described by the Kronecker delta function and the shift operator. The characteristics of the Fredholm determinant at values of below the essential spectrum and their dependence on the parameters are studied. We also show that the essential spectrum absorbs the threshold eigenvalue and threshold resonance

Maqola ma’lumotlari
MualliflarKurbonov, O. I., Bolqiboyev, J. B., Hamroyeva, F. B.
JurnalInnovations in Science and Technologies
NashriyotТошкент давлат иқтисодиёт университети
ISSN3030-3451
Nashr sanasi2025-05-12
Jild2
Son3
Betlar6-13
TilIngliz
Ilmiy sohaIqtisodiyot
Indeksga qo‘shilgan2026-08-26

Maqolaning asl sahifasi

Kalit so‘zlar

Discrete Schrödinger operators, essential spectrum, threshold resonance, eigenvalues, lattice

Ilmiy soha

Iqtisodiyot

Iqtibos keltirish

APAKurbonov, O. I., Bolqiboyev, J. B., & Hamroyeva, F. B. (2025). SPECTRAL AND THRESHOLD ANALYSIS OF THE LAPLACIAN WITH NON-LOCAL POTENTIAL IN FOUR-DIMENSIONAL LATTICE. Innovations in Science and Technologies, 2(3), 6-13. https://innoist.uz/index.php/ist/article/view/727
GOST (OAK)Kurbonov, O. I., Bolqiboyev, J. B., Hamroyeva, F. B. SPECTRAL AND THRESHOLD ANALYSIS OF THE LAPLACIAN WITH NON-LOCAL POTENTIAL IN FOUR-DIMENSIONAL LATTICE // Innovations in Science and Technologies. – 2025. – T. 2, № 3. – P. 6-13.
MLAKurbonov, O. I., Bolqiboyev, J. B., and Hamroyeva, F. B. “SPECTRAL AND THRESHOLD ANALYSIS OF THE LAPLACIAN WITH NON-LOCAL POTENTIAL IN FOUR-DIMENSIONAL LATTICE.” Innovations in Science and Technologies, 2(3), 6-13, 2025. https://innoist.uz/index.php/ist/article/view/727
ChicagoKurbonov, O. I., Bolqiboyev, J. B., and Hamroyeva, F. B. “SPECTRAL AND THRESHOLD ANALYSIS OF THE LAPLACIAN WITH NON-LOCAL POTENTIAL IN FOUR-DIMENSIONAL LATTICE.” Innovations in Science and Technologies, 2(3), 6-13 (2025). https://innoist.uz/index.php/ist/article/view/727
HarvardKurbonov, O. I., Bolqiboyev, J. B., and Hamroyeva, F. B (2025) ‘SPECTRAL AND THRESHOLD ANALYSIS OF THE LAPLACIAN WITH NON-LOCAL POTENTIAL IN FOUR-DIMENSIONAL LATTICE’, Innovations in Science and Technologies, 2(3), 6-13. https://innoist.uz/index.php/ist/article/view/727
BibTeX
@article{kurbonovoi2025,
  title = {SPECTRAL AND THRESHOLD ANALYSIS OF THE LAPLACIAN WITH NON-LOCAL POTENTIAL IN FOUR-DIMENSIONAL LATTICE},
  author = {Kurbonov, O. I. and Bolqiboyev, J. B. and Hamroyeva, F. B.},
  journal = {Innovations in Science and Technologies},
  year = {2025},
  volume = {2},
  number = {3},
  pages = {6-13},
  url = {https://innoist.uz/index.php/ist/article/view/727}
}

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