Geometric phases and Mielnik's evolution loops

DOI10.1007/BF00675169zbMath0820.46071arXivhep-th/9410213OpenAlexW3101273825MaRDI QIDQ1345411

David J. Fernández C.

Publication date: 6 March 1995

Published in: International Journal of Theoretical Physics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/hep-th/9410213

zbMATH Keywords

coherent statesharmonic oscillatorgeometric phasescyclic evolutionsMielnik's evolution loopssystems having equally-spaced energy levelstime-independent Hamiltonians

Mathematics Subject Classification ID

Coherent states (81R30) Applications of functional analysis in quantum physics (46N50)

Related Items (3)

Inverse techniques and evolution of spin-\(1/2\) systems ⋮ MEASUREMENT IN CONTROL AND DISCRIMINATION OF ENTANGLED PAIRS UNDER SELF-DISTORTION ⋮ Chaos in a Hamiltonian description of interacting quantum spins

Cites Work

• Non-adiabatic Berry phase for periodic Hamiltonians
• A note on non-integrable phases and coherent states
• Berry's phase, Hannay's angle and coherent states
• Factorization method and new potentials with the oscillator spectrum
• Quantal phase factors accompanying adiabatic changes
• Evolution loops
• Generalized coherent states and Berry’s phase
• Aharonov-Anandan geometric phase for spin-1/2 periodic Hamiltonians
• Orbital Aharonov-Anandan geometric phase for confined motion in a precessing magnetic field
• Geometry of quantum evolution
• Cyclic states, Berry phases and the Schrodinger operator
• Coherent states for isospectral oscillator Hamiltonians
• The Factorization Method

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