TY - JOUR
T1 - Space-adiabatic perturbation theory in quantum dynamics
JF - Physical review letters. 2002 Jun; 88(25 Pt 1):250405
Y1 - 2002
A1 - Gianluca Panati
A1 - Herbert Spohn
A1 - Stefan Teufel
AB - 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.
PB - American Physical Society
UR - http://hdl.handle.net/1963/5985
U1 - 5841
U2 - Mathematics
U3 - Mathematical Physics
U4 - -1
ER -