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Asymptotic Solutions of the One-dimensional Schrödinger Equation
 
Sergei Yu. Slavyanov Saint Petersburg State University, Russia
Asymptotic Solutions of the One-dimensional Schrodinger Equation
Hardcover ISBN:  978-0-8218-0536-7
Product Code:  MMONO/151
List Price: $165.00
MAA Member Price: $148.50
AMS Member Price: $132.00
eBook ISBN:  978-1-4704-4566-9
Product Code:  MMONO/151.E
List Price: $155.00
MAA Member Price: $139.50
AMS Member Price: $124.00
Hardcover ISBN:  978-0-8218-0536-7
eBook: ISBN:  978-1-4704-4566-9
Product Code:  MMONO/151.B
List Price: $320.00 $242.50
MAA Member Price: $288.00 $218.25
AMS Member Price: $256.00 $194.00
Asymptotic Solutions of the One-dimensional Schrodinger Equation
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Asymptotic Solutions of the One-dimensional Schrödinger Equation
Sergei Yu. Slavyanov Saint Petersburg State University, Russia
Hardcover ISBN:  978-0-8218-0536-7
Product Code:  MMONO/151
List Price: $165.00
MAA Member Price: $148.50
AMS Member Price: $132.00
eBook ISBN:  978-1-4704-4566-9
Product Code:  MMONO/151.E
List Price: $155.00
MAA Member Price: $139.50
AMS Member Price: $124.00
Hardcover ISBN:  978-0-8218-0536-7
eBook ISBN:  978-1-4704-4566-9
Product Code:  MMONO/151.B
List Price: $320.00 $242.50
MAA Member Price: $288.00 $218.25
AMS Member Price: $256.00 $194.00
  • 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.

    Readership

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

  • Table of Contents
     
     
    • Chapters
    • Chapter 1. Comparison functions
    • Chapter 2. Derivation of asymptotics
    • Chapter 3. Physical problems
    • Chapter 4. Supplements
  • Requests
     
     
    Review Copy – for publishers of book reviews
    Permission – for use of book, eBook, or Journal content
    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.

Readership

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
Review Copy – for publishers of book reviews
Permission – for use of book, eBook, or Journal content
Accessibility – to request an alternate format of an AMS title
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