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A lower bound on the first spectral gap of Schrödinger operators with Kato class measures

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Publication:621410
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DOI10.1007/s00023-009-0413-0zbMath1205.81089OpenAlexW2073892389MaRDI QIDQ621410

Hendrik Vogt

Publication date: 2 February 2011

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

Full work available at URL: https://doi.org/10.1007/s00023-009-0413-0



Mathematics Subject Classification ID

Selfadjoint operator theory in quantum theory, including spectral analysis (81Q10) Schrödinger operator, Schrödinger equation (35J10)


Related Items (6)

Optimization of the lowest eigenvalue of a soft quantum ring ⋮ Generalized Eigenfunctions and Spectral Theory for Strongly Local Dirichlet Forms ⋮ \(L^p\)-Kato class measures for symmetric Markov processes under heat kernel estimates ⋮ Weakly coupled bound state of 2-D Schrödinger operator with potential-measure ⋮ On the polynomial integrability of the critical systems for optimal eigenvalue gaps ⋮ Spectral gaps for self-adjoint second order operators




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