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Selected Special Functions for Fundamental Physics

  • Valeriya Akhmedova
  • Emil T. Akhmedov
Book

Part of the SpringerBriefs in Physics book series (SpringerBriefs in Physics)

Table of contents

  1. Front Matter
    Pages i-xi
  2. Valeriya Akhmedova, Emil T. Akhmedov
    Pages 1-2
  3. Valeriya Akhmedova, Emil T. Akhmedov
    Pages 3-13
  4. Valeriya Akhmedova, Emil T. Akhmedov
    Pages 15-22
  5. Valeriya Akhmedova, Emil T. Akhmedov
    Pages 23-40
  6. Valeriya Akhmedova, Emil T. Akhmedov
    Pages 41-64
  7. Valeriya Akhmedova, Emil T. Akhmedov
    Pages 65-79
  8. Valeriya Akhmedova, Emil T. Akhmedov
    Pages 81-97
  9. Valeriya Akhmedova, Emil T. Akhmedov
    Pages 99-105
  10. Valeriya Akhmedova, Emil T. Akhmedov
    Pages 107-116

About this book

Introduction

This book presents calculation methods that are used in both mathematical and theoretical physics. These methods will allow readers to work with selected special functions and more generally with differential equations, which are the most frequently used in quantum mechanics, theory of relativity and quantum field theory.

 

The authors explain various approximation methods used to solve differential equations and to estimate integrals. They also address the basics of the relations between differential equations, special functions and representation theory of some of the simplest algebras on the one hand, and fundamental physics on the other. 

 

Based on a seminar for graduate physics students, the book offers a compact and quick way to learn about special functions. To gain the most from it, readers should be familiar with the basics of calculus, linear algebra, and complex analysis, as well as the basic methods used to solve differential equations and calculate integrals. 

Keywords

Green's Function Mathematical Methods of Quantum Theory Complex Analysis for Physicists Approximation Methods in Differential Equations Legendre Functions Feynman Propagator on the Sphere

Authors and affiliations

  • Valeriya Akhmedova
    • 1
  • Emil T. Akhmedov
    • 2
  1. 1.Kharkevich Institute for Information Transmission ProblemsMoscowRussia
  2. 2.Moscow Institute of Physics and TechnologyMoscowRussia

Bibliographic information

  • DOI https://doi.org/10.1007/978-3-030-35089-5
  • Copyright Information The Author(s), under exclusive license to Springer Nature Switzerland AG 2019
  • Publisher Name Springer, Cham
  • eBook Packages Physics and Astronomy
  • Print ISBN 978-3-030-35088-8
  • Online ISBN 978-3-030-35089-5
  • Series Print ISSN 2191-5423
  • Series Online ISSN 2191-5431
  • Buy this book on publisher's site