The Existence and location of eigenvalues of the one particle Hamiltonians on lattices

DOI10.15672/HJMS.20164515685zbMath1369.47077arXiv1505.03645WikidataQ114051819 ScholiaQ114051819MaRDI QIDQ5348466

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Publication date: 16 August 2017

Published in: Hacettepe Journal of Mathematics and Statistics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1505.03645

zbMATH Keywords

eigenvalueessential spectrumasymptoticone particle Hamiltonian

Mathematics Subject Classification ID

Applications of operator theory in the physical sciences (47N50) Quantum field theory on lattices (81T25) Selfadjoint operator theory in quantum theory, including spectral analysis (81Q10)

Related Items (5)

The number and location of eigenvalues for the two-particle Schrödinger operators on lattices ⋮ Two-fermion lattice Hamiltonian with first and second nearest-neighboring-site interactions ⋮ On the number and location of eigenvalues of the two particle Schrödinger operator on a lattice ⋮ The exact number of eigenvalues of the discrete Schrödinger operators in one-dimensional case ⋮ Bose–Hubbard models with on-site and nearest-neighbor interactions: exactly solvable case

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