Nonadiabatic Corrections to the Hannay--Berry Phase

DOI10.1137/040606600zbMATH Open1089.81025OpenAlexW2053360409MaRDI QIDQ5700585

Sean B. Andersson

Publication date: 28 October 2005

Published in: SIAM Journal on Applied Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1137/040606600

zbMATH Keywords

perturbationsgeometric phasessystems with slow and fast motionsaveraging of perturbations

Mathematics Subject Classification ID

Perturbations of finite-dimensional Hamiltonian systems, normal forms, small divisors, KAM theory, Arnol'd diffusion (37J40) Differential geometric methods, including holonomy, Berry and Hannay phases, Aharonov-Bohm effect, etc. in quantum theory (81Q70) Systems with slow and fast motions for nonlinear problems in mechanics (70K70) Averaging of perturbations for nonlinear problems in mechanics (70K65)

Related Items (1)

Non-adiabatic Berry's phase in many-body and high-dimensional system.

This page was built for publication: Nonadiabatic Corrections to the Hannay--Berry Phase