On the space of symmetric operators with multiple ground states

DOI10.1007/s10688-011-0026-5zbMath1271.46056arXiv1107.3010OpenAlexW2000246757MaRDI QIDQ366318

Andrei A. Agrachev

Publication date: 12 September 2013

Published in: Functional Analysis and its Applications (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1107.3010

zbMATH Keywords

self-adjoint operatormultiple eigenvalueexact sequence

Mathematics Subject Classification ID

Homological methods in functional analysis (exact sequences, right inverses, lifting, etc.) (46M18)

Related Items (10)

Coherent states, quantum gravity, and the Born-Oppenheimer approximation. I. General considerations ⋮ Approximate Controllability Via Adiabatic Techniques for the Three-Inputs Controlled Schrödinger Equation ⋮ Morse theory for discrete magnetic operators and nodal count distribution for graphs ⋮ Local models and global constraints for degeneracies and band crossings ⋮ On the conicity of eigenvalues intersections for parameter-dependent self-adjoint operators ⋮ On the geometry of the set of symmetric matrices with repeated eigenvalues ⋮ Topological invariants of eigenvalue intersections and decrease of Wannier functions in graphene ⋮ On minimality of determinantal varieties ⋮ Singular Geometry of the Momentum Space: From wire networks to quivers and monopoles ⋮ Quadratic cohomology

Cites Work

• Unnamed Item
• Unnamed Item
• Remarks on eigenvalues and eigenvectors of Hermitian matrices, Berry phase, adiabatic connections and quantum Hall effect
• Characteristic Classes. (AM-76)

This page was built for publication: On the space of symmetric operators with multiple ground states