Lower bounds on the lowest spectral gap of singular potential Hamiltonians

DOI10.1007/s00023-006-0302-8zbMath1113.81054arXivmath-ph/0605080OpenAlexW2011844972WikidataQ59312019 ScholiaQ59312019MaRDI QIDQ870748

Sylwia Kondej, Ivan Veselić

Publication date: 15 March 2007

Published in: Annales Henri Poincaré (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/math-ph/0605080

zbMATH Keywords

lower boundssingular potentiallowest spectral gap

Mathematics Subject Classification ID

Estimates of eigenvalues in context of PDEs (35P15) Selfadjoint operator theory in quantum theory, including spectral analysis (81Q10) Schrödinger operator, Schrödinger equation (35J10)

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Self-adjoint elliptic operators with boundary conditions on not closed hypersurfaces ⋮ Generalized Eigenfunctions and Spectral Theory for Strongly Local Dirichlet Forms ⋮ Spectrum of periodic elliptic operators with distant perturbations in space ⋮ Weakly coupled bound state of 2-D Schrödinger operator with potential-measure ⋮ On the polynomial integrability of the critical systems for optimal eigenvalue gaps ⋮ Schrödinger operators with \(\delta\) and \(\delta^{\prime}\)-potentials supported on hypersurfaces ⋮ Dirac operators, shell interactions, and discontinuous gauge functions across the boundary ⋮ On the resolvent of elliptic operators with distant perturbations in the space ⋮ Asymptotic behaviour of the spectrum of a waveguide with distant perturbations ⋮ Spectral gaps for self-adjoint second order operators

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