Quantum scattering under gradually varying potential

Abstract

In this work we consider quantum mechanical scattering of a charged particle by a slowly-varying time-dependent potential. By solving the time-dependent Schrödinger's equation we found a general solution correct up to first order of the time-derivative of the time-dependent potential. Then the consequences to the unitarity and phase shifts are discussed, along with the effects to Friedel Sum Rule, Fumi Theorem and Berry Phase.

Date of Award	2013
Original language	English
Awarding Institution	The Hong Kong University of Science and Technology