6533b851fe1ef96bd12a8c2c

RESEARCH PRODUCT

Geometric factors in the adiabatic evolution of classical systems

José Luis Regidor RosJ A OteoFernando Casas

subject

Adiabatic theoremPhysicssymbols.namesakeClassical mechanicsGeometric phaseAdiabatic invariantsymbolsGeneral Physics and AstronomyAdiabatic quantum computationAdiabatic processHamiltonian (quantum mechanics)Geometric factorHarmonic oscillator

description

Abstract The adiabatic evolution of the classical time-dependent generalized harmonic oscillator in one dimension is analyzed in detail. In particular, we define the adiabatic approximation, obtain a new derivation of Hannay's angle requiring no averaging principle and point out the existence of a geometric factor accompanying changes in the adiabatic invariant.

yearjournalcountryeditionlanguage
1992-03-01Physics Letters A
https://doi.org/10.1016/0375-9601(92)90839-e