Integrability of the quantum adiabatic evolution and geometric phases

DOI10.1063/1.532204zbMath0898.58027OpenAlexW2086241703MaRDI QIDQ4384771

Gianni Cassinelli, Ernesto De Vito, Alberto Levrero

Publication date: 1 November 1998

Published in: Journal of Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://semanticscholar.org/paper/8ab94a8fb92b8f47798d22ab606966529652a6ec

zbMATH Keywords

integrabilitygeometric phasesBerry phasequantum adiabatic evolution

Mathematics Subject Classification ID

Completely integrable infinite-dimensional Hamiltonian and Lagrangian systems, integration methods, integrability tests, integrable hierarchies (KdV, KP, Toda, etc.) (37K10) Closed and approximate solutions to the Schrödinger, Dirac, Klein-Gordon and other equations of quantum mechanics (81Q05) Completely integrable finite-dimensional Hamiltonian systems, integration methods, integrability tests (37J35)

Related Items (1)

TOWARDS A DEFINITION OF QUANTUM INTEGRABILITY

Cites Work

• Reduction of symplectic manifolds with symmetry
• Quantal phase factors accompanying adiabatic changes
• On the integrability of quantum mechanics as an infinite dimensional Hamiltonian system

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