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Asymptotic Solutions of the One-dimensional Schrödinger Equation

Sergei Yu. Slavyanov Saint Petersburg State University, Russia
Available Formats:
Hardcover ISBN: 978-0-8218-0536-7
Product Code: MMONO/151
List Price: $102.00 MAA Member Price:$91.80
AMS Member Price: $81.60 Electronic ISBN: 978-1-4704-4566-9 Product Code: MMONO/151.E List Price:$96.00
MAA Member Price: $86.40 AMS Member Price:$76.80
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This product is available for purchase as a bundle. Purchasing as a bundle enables you to save on the electronic version.
List Price: $153.00 MAA Member Price:$137.70
AMS Member Price: $122.40 Click above image for expanded view Asymptotic Solutions of the One-dimensional Schrödinger Equation Sergei Yu. Slavyanov Saint Petersburg State University, Russia Available Formats:  Hardcover ISBN: 978-0-8218-0536-7 Product Code: MMONO/151  List Price:$102.00 MAA Member Price: $91.80 AMS Member Price:$81.60
 Electronic ISBN: 978-1-4704-4566-9 Product Code: MMONO/151.E
 List Price: $96.00 MAA Member Price:$86.40 AMS Member Price: $76.80 Bundle Print and Electronic Formats and Save! This product is available for purchase as a bundle. Purchasing as a bundle enables you to save on the electronic version.  List Price:$153.00 MAA Member Price: $137.70 AMS Member Price:$122.40
• Book Details

Translations of Mathematical Monographs
Volume: 1511996; 190 pp
MSC: Primary 34; 81; Secondary 33;

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.

Graduate students and research mathematicians interested in ordinary differential equations and mathematical problems of quantum mechanics.

• Chapters
• Chapter 1. Comparison functions
• Chapter 2. Derivation of asymptotics
• Chapter 3. Physical problems
• Chapter 4. Supplements
• Requests

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Accessibility – to request an alternate format of an AMS title
Volume: 1511996; 190 pp
MSC: Primary 34; 81; Secondary 33;

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.