Phase-Integral Method: Allowing Nearlying Transition Points

The problems treated in this book are of a mathematical nature, but have important physical applications. The book is the result of two decades spent developing and refining the phase-integral method to a high level of precision. The authors have worked through the years to apply this method to problems in various fields of theoretical physics. It will be useful to research workers in various branches of theoretical physics, where the problems can be reduced to one-dimensional second-order differential equations of the Schrodinger type for which phase-integral solutions are required. These branches include quantum mechanics and the theory of electromagnetic wave propagation, as well as calculation of normal-mode frequencies of black holes. The book includes contributions from several scientists who have used the author’s technique.