Conditions of discreteness of the spectrum for Schr\"odinger operator and some optimization problems for capacity and measures

zbMath1491.47036arXiv1812.00416MaRDI QIDQ5075320

Leonid Zelenko

Publication date: 12 May 2022

Full work available at URL: https://arxiv.org/abs/1812.00416

zbMATH Keywords

Schrödinger operatorrearrangement of a functiondiscreteness of the spectrumoptimal covering problembase polyhedron of a submodular set function

Mathematics Subject Classification ID

Integer programming (90C10) Cooperative games (91A12) Combinatorial optimization (90C27) Linear symmetric and selfadjoint operators (unbounded) (47B25) General theory of partial differential operators (47F05) Selfadjoint operator theory in quantum theory, including spectral analysis (81Q10)

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Conditions for discreteness of the spectrum to Schrödinger operator via non-increasing rearrangement, Lagrangian relaxation and perturbations

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