Space-Adiabatic Perturbation Theory in Quantum Dynamics

Gianluca Panati, Herbert Spohn, Stefan Teufel

Research output: Contribution to journalArticlepeer-review

2 Scopus citations

Abstract

A systematic perturbation scheme is developed for approximate solutions to the time-dependent Schrödinger 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 [Formula presented] factor of the electron within nonrelativistic quantum electrodynamics.

Original languageEnglish
Pages (from-to)4
Number of pages1
JournalPhysical Review Letters
Volume88
Issue number25
DOIs
StatePublished - 2002

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