Three-level models solvable in terms of the Clausen function

Abstract

The problem of analytical integrability of the three-level problem by reduction of the time-dependent Schrodinger equations to the third-order linear differential equation satisfied by the generalized hypergeometric functions 3F2 is considered. A total of 12 infinite classes of models solvable in terms of these functions is found, most of which are new and others are generalizations of the previously known families.