Innovations in Science and Technologies Volume 2 Issue 3 (2025) · pp. 6-13

SPECTRAL AND THRESHOLD ANALYSIS OF THE LAPLACIAN WITH NON-LOCAL POTENTIAL IN FOUR-DIMENSIONAL LATTICE

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

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Abstract

 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 

Discrete Schrödinger operatorsessential spectrumthreshold resonanceeigenvalueslattice

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Cite

APA 7 
Kurbonov, 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.
GOST R 7.0.5 
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. Т. 2. № 3. С. 6-13.
BibTeX 
@article{i.2025,
  author  = {Kurbonov, O. I. and Bolqiboyev, J. B. and Hamroyeva, F. B.},
  title   = {SPECTRAL AND THRESHOLD ANALYSIS OF THE LAPLACIAN WITH NON-LOCAL POTENTIAL IN FOUR-DIMENSIONAL LATTICE},
  journal = {Innovations in Science and Technologies},
  year    = {2025},
  volume  = {2},
  number  = {3},
  pages   = {6-13}
}
RIS 
TY  - JOUR
AU  - Kurbonov, O. I.
AU  - Bolqiboyev, J. B.
AU  - Hamroyeva, F. B.
TI  - SPECTRAL AND THRESHOLD ANALYSIS OF THE LAPLACIAN WITH NON-LOCAL POTENTIAL IN FOUR-DIMENSIONAL LATTICE
JO  - Innovations in Science and Technologies
PY  - 2025
VL  - 2
IS  - 3
SP  - 6
EP  - 13
ER  -