Few-Body Systems

, 60:55 | Cite as

Correlated Gaussians and Low-Discrepancy Sequences

  • D. V. FedorovEmail author
Part of the following topical collections:
  1. Ludwig Faddeev Memorial Issue


Within the Correlated Gaussian Method the parameters of the Gaussian basis functions are often chosen stochastically using pseudo-random sequences. We show that alternative low-discrepancy sequences, also known as quasi-random sequences, provide bases of better quality.



  1. 1.
    Y. Suzuki, K. Varga, Stochastic Variational Approach to Quantum-Mechanical Few-Body Problems (Springer, Berlin, 1998)zbMATHGoogle Scholar
  2. 2.
    J. Mitroy et al., Theory and application of explicitly correlated Gaussians. Rev. Mod. Phys. 85, 693 (2013)ADSCrossRefGoogle Scholar
  3. 3.
    D.V. Fedorov, Analytic matrix elements and gradients with shifted correlated Gaussians. Few-Body Syst. 58, 21 (2017)ADSCrossRefGoogle Scholar
  4. 4.
    W.J. Morokoff, R.E. Caflisch, Quasi-random sequences and their discrepancies. SIAM J. Sci. Comput. 15, 1251 (1994)MathSciNetCrossRefGoogle Scholar
  5. 5.
    J.G. van der Corput, Verteilungsfunktionen (Erste Mitteilung). Proc. K. Akad. Wet. Amst. 38, 813–821 (1935)zbMATHGoogle Scholar

Copyright information

© Springer-Verlag GmbH Austria, part of Springer Nature 2019

Authors and Affiliations

  1. 1.Institute of Physics and AstronomyAarhus UniversityAarhus CDenmark

Personalised recommendations