The Mathematical Intelligencer

, Volume 33, Issue 2, pp 52–57 | Cite as

The 1958 Pekeris-Accad-WEIZAC Ground-Breaking Collaboration that Computed Ground States of Two-Electron Atoms (and its 2010 Redux)

  • Christoph Koutschan
  • Doron Zeilberger


Mathematical Intelligencer Symbolic Computation Laguerre Polynomial Weizmann Institute Operator Matrix Element 
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  1. [1]
    Philip W. Anderson. What is Wrong with QMC?, talk delivered at the 103rd Statistical Mechanics Conference, May 10, 2010, Rutgers University,
  2. [2]
    Moa Apagodu and Doron Zeilberger. “Multi-Variable Zeilberger and Almkvist-Zeilberger Algorithms and the Sharpening of Wilf-Zeilberger Theory,” Adv. Appl. Math. 37 (Special Regev issue), 139–152, 2006.zbMATHCrossRefMathSciNetGoogle Scholar
  3. [3]
    Michael P. Barnett. “Symbolic Computation of Integrals by Recurrence,” ACS SIGSAM Bulletin 37(2), 49–63, 2003.zbMATHCrossRefGoogle Scholar
  4. [4]
    I. Bierenbaum, J. Blümlein, S. Klein, and C. Schneider. “Two-Loop Massive Operator Matrix Elements for Unpolarized Heavy Flavor Production to O(ε),” Nucl. Phys. B 803(1-2), 1–41, 2008.zbMATHCrossRefGoogle Scholar
  5. [5]
    Gerald Estrin. “The WEIZAC Years,” IEEE Trans. for the Annals of the History of Computing 13(4), 317–339, 1991.CrossRefGoogle Scholar
  6. [6]
    Christoph Koutschan. Advanced Applications of the Holonomic Systems Approach, Ph.D. thesis, RISC, Johannes Kepler University, Linz, Austria, 2009.Google Scholar
  7. [7]
    Christoph Koutschan, Manuel Kauers, and Doron Zeilberger. A Proof of George Andrews’ and David Robbins’ q-TSPP Conjecture, Technical Report arXiv:1002.4384, 2010.Google Scholar
  8. [8]
    Linus Pauling and E. Bright Wilson, Jr. Introduction to Quantum Mechanics with Applications to Chemistry, McGraw-Hill, New York, 1935 (reprinted Dover, 1985).Google Scholar
  9. [9]
    C.L. Pekeris. “Ground State of Two-Electron Atoms,” Phys. Rev. 112(5), 1649-1658, 1958.zbMATHCrossRefMathSciNetGoogle Scholar
  10. [10]
    C.L. Pekeris. “1 1 S and 2 3 S States of Helium,” Phys. Rev. 115(5), 1216-1221, 1959.CrossRefMathSciNetGoogle Scholar
  11. [11]
    C.L. Pekeris. “Propagation of Seismic Pulses in Layered Liquids and Solids,” in Norman David (ed.), International Symposium on Stress Wave Propagation in Materials, New York, Interscience Publishers, 1960.Google Scholar
  12. [12]
    Marko Petkovšek, Herbert S. Wilf, and Doron Zeilberger. A=B, A.K. Peters, 1996, available online.Google Scholar
  13. [13]
    Herbert S. Wilf and Doron Zeilberger. “An Algorithmic Proof Theory for Hypergeometric (Ordinary and “q”) Multisum/integral Identities,” Invent. Math. 108, 575-633, 1992.CrossRefMathSciNetGoogle Scholar

Copyright information

© Springer Science+Business Media, LLC 2011

Authors and Affiliations

  1. 1.Research Institute for Symbolic ComputationJohannes Kepler UniversityLinzAustria
  2. 2.Mathematics DepartmentRutgers University New BrunswickPiscatawayUSA

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