The Morse and Maslov indices for Schrödinger operators

DOI10.1007/s11854-018-0043-xzbMath1407.35073arXiv1411.1656OpenAlexW2964208984MaRDI QIDQ1661303

Alim Sukhtayev, Yuri Latushkin, Selim Sukhtaiev

Publication date: 16 August 2018

Published in: Journal d'Analyse Mathématique (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1411.1656

zbMATH Keywords

Schrödinger operatorMorse indexMaslov indexDirichlet and Neumann trace operators

Mathematics Subject Classification ID

General topics in linear spectral theory for PDEs (35P05) General theory of partial differential operators (47F05) Schrödinger operator, Schrödinger equation (35J10)

Related Items (7)

Hadamard-type formulas via the Maslov form ⋮ An index theorem for Schrödinger operators on metric graphs ⋮ Jacobi fields in optimal control: Morse and Maslov indices ⋮ The Maslov index and the spectra of second order elliptic operators ⋮ The Morse and Maslov indices for multidimensional Schrödinger operators with matrix-valued potentials ⋮ Limits of quantum graph operators with shrinking edges ⋮ Counting spectrum via the Maslov index for one dimensional $\theta -$periodic Schrödinger operators

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