The Morse and Maslov indices for multidimensional Schrödinger operators with matrix-valued potentials

DOI10.1090/tran/6801zbMath1351.35028arXiv1408.1103OpenAlexW2962802941MaRDI QIDQ2821685

Christopher K. R. T. Jones, Yuri Latushkin, Graham Cox, Alim Sukhtayev

Publication date: 22 September 2016

Published in: Transactions of the American Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1408.1103

zbMATH Keywords

Schrödinger operatorMorse indexMaslov indexspectral problemFredholm-Lagrangian Grassmannian

Mathematics Subject Classification ID

Boundary value problems for second-order elliptic equations (35J25) Particular ordinary differential operators (Dirac, one-dimensional Schrödinger, etc.) (34L40) General topics in linear spectral theory for PDEs (35P05) General theory of partial differential operators (47F05) Schrödinger operator, Schrödinger equation (35J10) Lagrangian submanifolds; Maslov index (53D12) Periodic and almost periodic solutions for problems in Hamiltonian and Lagrangian mechanics (70H12)

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