Translations of Mathematical Monographs
1996;
190 pp;
Hardcover
MSC: Primary 34; 81;
Secondary 33
Print ISBN: 978-0-8218-0536-7
Product Code: MMONO/151
List Price: $96.00
AMS Member Price: $76.80
MAA Member Price: $86.40
Electronic ISBN: 978-1-4704-4566-9
Product Code: MMONO/151.E
List Price: $96.00
AMS Member Price: $76.80
MAA Member Price: $86.40
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Asymptotic Solutions of the One-dimensional Schrödinger Equation
Share this pageSergei Yu. Slavyanov
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
Table of Contents
Asymptotic Solutions of the One-dimensional Schrodinger Equation