Relativistic coulomb integrals and Zeilberger’s holonomic systems approach II

Christoph Koutschan, Peter Paule, Sergei Suslov

Research output: Chapter in Book/Report/Conference proceedingConference contribution

3 Scopus citations

Abstract

We derive the recurrence relations for relativistic Coulomb integrals directly from the integral representations with the help of computer algebra methods. In order to manage the computational complexity of this problem, we employ holonomic closure properties in a sophisticated way.

Original languageEnglish (US)
Title of host publicationAlgebraic and Algorithmic Aspects of Differential and Integral Operators - 5th International Meeting, AADIOS 2012, Selected and Invited Papers
EditorsMoulay Barkatou, Georg Regensburger
PublisherSpringer Verlag
Pages135-145
Number of pages11
ISBN (Electronic)9783642544781
StatePublished - Jan 1 2014
Event5th International Meeting on Algebraic and Algorithmic Aspects of Differential and Integral Operators, ACA 2012 - Sofia, Bulgaria
Duration: Jun 25 2012Jun 28 2012

Publication series

NameLecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics)
Volume8372
ISSN (Print)0302-9743
ISSN (Electronic)1611-3349

Other

Other5th International Meeting on Algebraic and Algorithmic Aspects of Differential and Integral Operators, ACA 2012
CountryBulgaria
CitySofia
Period6/25/126/28/12

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Keywords

  • Annihilating ideal
  • Coulomb integral
  • Creative telescoping
  • Holonomic closure property
  • Holonomic systems approach
  • Operator algebra

ASJC Scopus subject areas

  • Theoretical Computer Science
  • Computer Science(all)

Cite this

Koutschan, C., Paule, P., & Suslov, S. (2014). Relativistic coulomb integrals and Zeilberger’s holonomic systems approach II. In M. Barkatou, & G. Regensburger (Eds.), Algebraic and Algorithmic Aspects of Differential and Integral Operators - 5th International Meeting, AADIOS 2012, Selected and Invited Papers (pp. 135-145). (Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics); Vol. 8372). Springer Verlag.