Discreteness of the spectrum of Schrödinger operators with non-negative matrix-valued potentials

DOI10.1016/j.jfa.2014.10.007zbMath1310.47064arXiv1402.3177OpenAlexW2963480683MaRDI QIDQ2343553

Gian Maria Dall'Ara

Publication date: 6 May 2015

Published in: Journal of Functional Analysis (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1402.3177

zbMATH Keywords

Schrödinger operatorsdiscrete spectrummatrix-valued potentials

Mathematics Subject Classification ID

Spectrum, resolvent (47A10) General theory of partial differential operators (47F05) Schrödinger operator, Schrödinger equation (35J10) Linear operators on function spaces (general) (47B38)

Related Items (7)

Generation results for vector-valued elliptic operators with unbounded coefficients in \(L^p\) spaces ⋮ On the compactness of the resolvent of a Schrödinger type singular operator with a negative parameter ⋮ Vector-valued Schrödinger operators in \(L^p\)-spaces ⋮ Schrödinger operators on Lie groups with purely discrete spectrum ⋮ Classical Langevin dynamics derived from quantum mechanics ⋮ Canonical quantum observables for molecular systems approximated by ab initio molecular dynamics ⋮ Conditions for discreteness of the spectrum to Schrödinger operator via non-increasing rearrangement, Lagrangian relaxation and perturbations

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