DOI10.1007/BF01614072zbMath0841.58008OpenAlexW2047034598MaRDI QIDQ1805377
Vladimir I. Arnold
Publication date: 18 July 1996
Published in: Selecta Mathematica. New Series (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/bf01614072
Geometric amplitude, adiabatic invariants, quantization, and strong stability of Hamiltonian systems ⋮
Generalization of Berry’s geometric phase, equivalence of the Hamiltonian nature, quantizability and strong stability of linear oscillatory systems, and conservation of adiabatic invariants ⋮
On the space of symmetric operators with multiple ground states ⋮
Ubiquity of conical points in topological insulators ⋮
Rearrangement of energy bands: Chern numbers in the presence of cubic symmetry ⋮
Kinetic Dyson Brownian motion ⋮
A bulk-edge correspondence between the second Chern number and the spectral flow ⋮
Permutationally invariant 3-dimensional vector spaces of \(3\times 3\) symmetric matrices: a groupoid ⋮
Morse theory for discrete magnetic operators and nodal count distribution for graphs ⋮
Local models and global constraints for degeneracies and band crossings ⋮
Chern number modification in crossing the boundary between different band structures: Three-band models with cubic symmetry ⋮
Topological properties of eigenoscillations in mathematical physics ⋮
Angular momentum coupling, Dirac oscillators, and quantum band rearrangements in the presence of momentum reversal symmetries ⋮
A study of energy band rearrangement in isolated molecules by means of the Dirac oscillator approximation ⋮
Energy bands: Chern numbers and symmetry ⋮
Classification of external zonotopal algebras ⋮
On \(Q\)-deformations of Postnikov-Shapiro algebras ⋮
Topological phase transition in a molecular Hamiltonian with symmetry and pseudo-symmetry, studied through quantum, semi-quantum and classical models ⋮
On the geometry of the set of symmetric matrices with repeated eigenvalues ⋮
Berry phase around degeneracies ⋮
Eigenvalue crossings in Floquet topological systems ⋮
Простое доказательство адиабатической теоремы ⋮
On the moduli space of Wigner quasiprobability distributions for \(N\)-dimensional quantum systems ⋮
Local description of band rearrangements ⋮
Quaternionic Dirac oscillator
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