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Multivariate Hypergeometric Functions Related to the Coulomb Problem

  • Book
  • Aug 2024

Overview

Authors:
  1. Gustavo Gasaneo

    1. Departamento de Fisica, Universidad Nacional del Sur Departamento de Fisica, Bahia Blanca, Argentina

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  2. Lorenzo Ugo Ancarani

    1. UMR-CNRS UL 7565, Université de Lorraine, Metz Cedex, France

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    You can also search for this author in PubMed   Google Scholar

  3. Jessica Del Punta

    1. Departamento de Matemática, Universidad Nacional del Sur Departamento de Matemática, Bahía Blanca, Argentina

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  • Both mathematical and physical aspects of Coulomb processes
  • Will be an important tool for dealing with two- and three- body Coulomb problems

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Keywords

  • Sturmian
  • apell technique
  • born series
  • coulomb problem
  • hypergeometric
  • kummer
  • lippman-schwinger
  • multivariable
  • non-homogeneous
  • schroedinger
  • three-body
  • two-body
  • wavefunction

About this book

This work deals with several aspects of the Coulomb problem as well as with a large number of related multivariable hypergeometric functions. Intended for atomic physicists and mathematicians, it builds a bridge of understanding between both the Physical and Mathematical sciences. After a basic introduction on the Coulomb problem, it is divided into two parts. First, an original study of the two- and three-body Coulomb problem is presented with emphasis on related mathematical issues. Most of the aspects of this part have the common point that they involve a significant number of multivariable hypergeometric functions. These are studied in the second, mathematical, part of the book where emphasis is put on the relevant expressions for physical applications. This work will be an important tool in for atomic physicists dealing with two- and three-body Coulomb problems and includes aspects not addressed elsewhere. A significant number of hypergeometric functions in two, three and morevariables related to physical problems are presented and studied. The aspect of considering both mathematical and physical aspects in connection with hypergeometric functions makes the book unique.

Authors and Affiliations

  • Departamento de Fisica, Universidad Nacional del Sur Departamento de Fisica, Bahia Blanca, Argentina

    Gustavo Gasaneo

  • UMR-CNRS UL 7565, Université de Lorraine, Metz Cedex, France

    Lorenzo Ugo Ancarani

  • Departamento de Matemática, Universidad Nacional del Sur Departamento de Matemática, Bahía Blanca, Argentina

    Jessica Del Punta

Bibliographic Information

  • Book Title: Multivariate Hypergeometric Functions Related to the Coulomb Problem

  • Authors: Gustavo Gasaneo, Lorenzo Ugo Ancarani, Jessica Del Punta

  • Publisher: Springer Vienna

  • eBook Packages: Physics and Astronomy, Physics and Astronomy (R0)

  • Copyright Information: Springer-Verlag GmbH Austria, part of Springer Nature 2024

  • Hardcover ISBN: 978-3-7091-0447-7Due: 26 August 2024

  • eBook ISBN: 978-3-7091-0448-4Due: 26 August 2024

  • Edition Number: 1

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