Simple proof of the adiabatic theorem

Simple proof of the adiabatic theorem is given in a finite dimensional case for nondegenerate as well as degenerate states. The estimate is obtained for the deviation of the norm of the solution of the Shchrödinger equation which is uniform on the parameter in the Hamiltonian.

Bibliographic Details
Main Author: M. O. Katanaev
Format: Article
Language:English
Published: Samara State Technical University 2011-03-01
Series:Vestnik Samarskogo Gosudarstvennogo Tehničeskogo Universiteta. Seriâ: Fiziko-Matematičeskie Nauki
Online Access:http://mi.mathnet.ru/eng/vsgtu937