On the number and location of eigenvalues of the two particle Schrödinger operator on a lattice

DOI10.1134/S1995080222150173OpenAlexW4327798549MaRDI QIDQ2700054

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/s1995080222150173

zbMATH Keywords

eigenvalues essential spectrum Fredholm determinant discrete Schrödinger operator two-particle system

Mathematics Subject Classification ID

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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Ultracold Atoms in Optical Lattices
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Bose–Hubbard models with on-site and nearest-neighbor interactions: exactly solvable case

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