High-order quantum adiabatic approximation and Berry's phase factor
Chang-Pu Sun · Journal of Physics A Mathematical and General · 1988
In this paper high-order adiabatic approximate solutions of the Schrodinger equation for a quantum system with a slowly changing Hamiltonian are presented. The author not only obtains Berry's phase factor and strictly proves the quantum adiabatic theorem in the first-order approximation, but also discusses an observable effect of the second adiabatic approximation.