Berry phase around degeneracies

DOI10.1134/S1064562406010352zbMath1155.81335MaRDI QIDQ1005470

Alexander P. Seyranian, Oleg N. Kirillov, Alexei A. Mailybaev

Publication date: 9 March 2009

Published in: Doklady Mathematics (Search for Journal in Brave)

Mathematics Subject Classification ID

Closed and approximate solutions to the Schrödinger, Dirac, Klein-Gordon and other equations of quantum mechanics (81Q05) Differential geometric methods, including holonomy, Berry and Hannay phases, Aharonov-Bohm effect, etc. in quantum theory (81Q70)

Related Items

Non-Hermitian Quantum Annealing and Superradiance, NON-HERMITIAN ADIABATIC QUANTUM OPTIMIZATION, Generalized adiabatic approximation to the asymmetric quantum Rabi model: conical intersections and geometric phases

Cites Work

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• Remarks on eigenvalues and eigenvectors of Hermitian matrices, Berry phase, adiabatic connections and quantum Hall effect
• Quantal phase factors accompanying adiabatic changes
• Diabolical points in the spectra of triangles
• Geometrical phases and symmetries in dissipative systems
• Coupling of eigenvalues of complex matrices at diabolic and exceptional points
• Transformation to versal deformations of matrices