Adiabatic Theorem and Spectral Concentration. 1. Arbitrary Order Spectral Concentration for the Stark Effect in Atomic Physics

摘要

The spectral concentration of arbitrary order, for the Stark effect is proved to exist for a large class of Hamiltonians appearing in nonrelativistic and relativistic quantum mechanics. The results are consequences of an abstract theorem about the spectral concentration for self-ad oint operators. A general form of the adiabatic theorem of quantum mechanics, generalizing an earlier result of the author as well as some results of Lenard, is also proved. (Atomindex citation 13:642828)