A Semi-Classical Treatment of Non-Local Potentials

Abstract

A semi-classical treatment of the three-dimensional Schrodinger equation containing a non-local potential is discussed by the use of the WKB method.An equivalent local potential is derived and the Perey effect is investigated.In deriving the equivalent local potential, it is shown that the concept of the parity-dependence should be introduced for the proper use of the WKB method.By using the equivalent local potential we discuss properties of the non-local potential, namely, its spatial, energy and angular-momentum dependence including the parity-dependence.