Manifold decompositions and indices of Schr\\\"{o}dinger operators

DOI10.1512/iumj.2017.66.6129zbMath1408.35018arXiv1506.07431OpenAlexW2963153449MaRDI QIDQ4599328

Christopher K. R. T. Jones, Graham Cox, Jeremy L. Marzuola

Publication date: 29 December 2017

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

Full work available at URL: https://arxiv.org/abs/1506.07431

zbMATH Keywords

Schrödinger operatorMorse indexMaslov indexnodal domainDirichlet-to-Neumann mapmanifold decomposition

Mathematics Subject Classification ID

Boundary value problems for second-order elliptic equations (35J25) Estimates of eigenvalues in context of PDEs (35P15) Spectral problems; spectral geometry; scattering theory on manifolds (58J50) Schrödinger operator, Schrödinger equation (35J10)

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