The existence and asymptotics of eigenvalues of Schrödinger operator on two dimensional lattices
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Publication:2700042
DOI10.1134/S1995080222150082OpenAlexW4327798580MaRDI QIDQ2700042
A. T. Boltaev, Firdavsjon M. Almuratov
Publication date: 20 April 2023
Published in: Lobachevskii Journal of Mathematics (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1134/s1995080222150082
Spectral theory and eigenvalue problems for partial differential equations (35Pxx) Elliptic equations and elliptic systems (35Jxx) General mathematical topics and methods in quantum theory (81Qxx)
Cites Work
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- The number of bound states of a one-particle Hamiltonian on a three-dimensional lattice
- On the bound state of Schrödinger operators in one dimension
- Coupling constant thresholds in nonrelativistic quantum mechanics. I. Short-range two-body case
- The bound state of weakly coupled Schrödinger operators in one and two dimensions
- Notes on infinite determinants of Hilbert space operators
- Spectral and threshold analysis of a small rank perturbation of the discrete Laplacian
- On the spectrum of the two-particle Schrödinger operator with point interaction
- Bound states of Schrödinger-type operators on one and two dimensional lattices
- On spectrum of the discrete bilaplacian with zero-range perturbation
- The exact number of eigenvalues of the discrete Schrödinger operators in one-dimensional case
- On the number of eigenvalues of the lattice model operator in one-dimensional case
- On the spectrum of Schrödinger-type operators on two dimensional lattices
- Invariant subspaces of the Schrödinger operator with a finite support potential
- On the discrete spectra of Schrödinger-type operators on one dimensional lattices
- Threshold effects in a two-fermion system on an optical lattice
- Threshold analysis of the three dimensional lattice Schrödinger operator with non-local potential
- Threshold phenomena in the spectrum of the two-particle Schrödinger operator on a lattice
- Asymptotic behavior of an eigenvalue of the two-particle discrete Schrödinger operator
- Asymptotics of eigenvalues of two-particle Schrödinger operators on lattices with zero range interaction
- Asymptotics of the eigenvalues of a discrete Schrödinger operator with zero-range potential
- Bounds on the discrete spectrum of lattice Schrödinger operators
- Threshold of discrete Schrödinger operators with delta potentials on n-dimensional lattice
- Bose–Hubbard models with on-site and nearest-neighbor interactions: exactly solvable case
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