Translations of Mathematical Monographs 1996; 190 pp; hardcover Volume: 151 ISBN10: 0821805363 ISBN13: 9780821805367 List Price: US$96 Member Price: US$76.80 Order Code: MMONO/151
 This book is devoted to asymptotic analysis of solutions of second order ordinary differential equations with a small parameter. The main emphasis is on various constructive schemes of obtaining asymptotic solutions, their advantages and drawbacks, and specific computations. The author gives a complete overview of the state of the theory and also concentrates on some lesser known aspects and problems, in particular the problems in which exponentially small terms should be taken into account or the analysis of equations with close transition points. Such applications as the derivation of the formulas for the quasiclassical quantizations, spectrum splitting in a symmetrical potential, etc., are considered. Readership Graduate students and research mathematicians interested in ordinary differential equations and mathematical problems of quantum mechanics. Table of Contents  Comparison functions
 Derivation of asymptotics
 Physical problems
 Supplements
 References
