6533b823fe1ef96bd127eb30

RESEARCH PRODUCT

Adiabatic evolution of quantum-mechanical systems

Jorge VidalJosé Wudka

subject

Adiabatic theoremMechanical systemPhysicsFormalism (philosophy of mathematics)symbols.namesakeClassical mechanicsQuantum mechanicssymbolsHamiltonian (quantum mechanics)Adiabatic processQuantumAtomic and Molecular Physics and Optics

description

A description of the adiabatic approximation in terms of the time-evolution operator is presented. Corrections to the approximation are studied, and it is seen that these can be obtained in a simple way in the case of a rapidly oscillating Hamiltonian.

https://doi.org/10.1103/physreva.44.5383