The Maslov and Morse indices for system Schroedinger operators on \mathBB{R}

DOI10.1512/iumj.2018.67.7462zbMath1408.53106OpenAlexW2899406656MaRDI QIDQ4622002

Yuri Latushkin, Peter Howard, Alim Sukhtayev

Publication date: 8 February 2019

Published in: Indiana University Mathematics Journal (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1512/iumj.2018.67.7462

zbMATH Keywords

eigenvaluesSchrödinger operatorsMorse indexMaslov index

Mathematics Subject Classification ID

Particular ordinary differential operators (Dirac, one-dimensional Schrödinger, etc.) (34L40) Lagrangian submanifolds; Maslov index (53D12)

Related Items (13)

Validated Spectral Stability via Conjugate Points ⋮ Generalized Maslov Indices for Non-Hamiltonian Systems ⋮ Hörmander's index and oscillation theory ⋮ Edge states for second order elliptic operators in a channel ⋮ Hamiltonian Spectral Flows, the Maslov Index, and the Stability of Standing Waves in the Nonlinear Schrodinger Equation ⋮ Oscillation numbers for continuous Lagrangian paths and Maslov index ⋮ The Maslov index and spectral counts for linear Hamiltonian systems on \(\mathbb{R}\) ⋮ Opening the Maslov box for traveling waves in skew-gradient systems: counting eigenvales and proving (in)stability ⋮ Bifurcation to instability through the lens of the Maslov index ⋮ The Maslov index and the spectra of second order elliptic operators ⋮ The Maslov and Morse indices for Sturm-Liouville systems on the half-line ⋮ A Sturm-Liouville theorem for quadratic operator pencils ⋮ Spectral stability of hydraulic shock profiles

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