On the existence of bound states of a system of two fermions on the two-dimensional cubic lattice
DOI10.1134/s1995080223040029zbMath1530.81080MaRDI QIDQ6133569
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Publication date: 18 August 2023
Published in: Lobachevskii Journal of Mathematics (Search for Journal in Brave)
Hamiltoniandispersion relationdiscrete Schrödinger operatorbound statesystem of two fermionsdegenerate minimum
Estimates of eigenvalues in context of PDEs (35P15) Hamilton's equations (70H05) Closed and approximate solutions to the Schrödinger, Dirac, Klein-Gordon and other equations of quantum mechanics (81Q05) Spectrum, resolvent (47A10) Two-body problems (70F05) Discrete version of topics in analysis (39A12) Perturbations in context of PDEs (35B20) Dispersion theory, dispersion relations arising in quantum theory (81U30) (L^1)-algebras on groups, semigroups, etc. (43A20) Quantum mechanics on special spaces: manifolds, fractals, graphs, lattices (81Q35) Fermionic systems in quantum theory (81V74)
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