%0 Journal Article
%J Physical review letters. 2002 Jun; 88(25 Pt 1):250405
%D 2002
%T Space-adiabatic perturbation theory in quantum dynamics
%A Gianluca Panati
%A Herbert Spohn
%A Stefan Teufel
%X A systematic perturbation scheme is developed for approximate solutions to the time-dependent SchrÃ¶dinger equation with a space-adiabatic Hamiltonian. For a particular isolated energy band, the basic approach is to separate kinematics from dynamics. The kinematics is defined through a subspace of the full Hilbert space for which transitions to other band subspaces are suppressed to all orders, and the dynamics operates in that subspace in terms of an effective intraband Hamiltonian. As novel applications, we discuss the Born-Oppenheimer theory to second order and derive for the first time the nonperturbative definition of the g factor of the electron within nonrelativistic quantum electrodynamics.
%B Physical review letters. 2002 Jun; 88(25 Pt 1):250405
%I American Physical Society
%G en
%U http://hdl.handle.net/1963/5985
%1 5841
%2 Mathematics
%3 Mathematical Physics
%4 -1
%$ Submitted by Marta Maurutto (maurutto@sissa.it) on 2012-07-15T14:04:06Z\\nNo. of bitstreams: 0
%R 10.1103/PhysRevLett.88.250405