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electronic structure of heavy elements

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11: Bibliography R
  • W. Reinhardt (1982) Complex Coordinates in the Theory of Atomic and Molecular Structure and Dynamics. Annual Review of Physical Chemistry 33, pp. 223–255.
  • J. Rys, M. Dupuis, and H. F. King (1983) Computation of electron repulsion integrals using the Rys quadrature method. J. Comput. Chem. 4 (2), pp. 154–175.
  • 12: Bibliography S
  • B. I. Schneider, X. Guan, and K. Bartschat (2016) Time propagation of partial differential equations using the short iterative Lanczos method and finite-element discrete variable representation. Adv. Quantum Chem. 72, pp. 95–127.
  • J. Segura and A. Gil (1999) Evaluation of associated Legendre functions off the cut and parabolic cylinder functions. Electron. Trans. Numer. Anal. 9, pp. 137–146.
  • N. Seiberg and D. Shih (2005) Flux vacua and branes of the minimal superstring. J. High Energy Phys. 2005 (01), pp. 1–37.
  • S. Yu. Slavyanov and N. A. Veshev (1997) Structure of avoided crossings for eigenvalues related to equations of Heun’s class. J. Phys. A 30 (2), pp. 673–687.
  • N. J. A. Sloane (2003) The On-Line Encyclopedia of Integer Sequences. Notices Amer. Math. Soc. 50 (8), pp. 912–915.
  • 13: Bibliography
  • N. I. Akhiezer (1990) Elements of the Theory of Elliptic Functions. Translations of Mathematical Monographs, Vol. 79, American Mathematical Society, Providence, RI.
  • K. Alder, A. Bohr, T. Huus, B. Mottelson, and A. Winther (1956) Study of nuclear structure by electromagnetic excitation with accelerated ions. Rev. Mod. Phys. 28, pp. 432–542.
  • G. Arutyunov and M. Staudacher (2004) Matching higher conserved charges for strings and spins. J. High Energy Phys. 2004 (3).
  • 14: 15.17 Mathematical Applications
    First, as spherical functions on noncompact Riemannian symmetric spaces of rank one, but also as associated spherical functions, intertwining functions, matrix elements of SL ( 2 , ) , and spherical functions on certain nonsymmetric Gelfand pairs. … The three singular points in Riemann’s differential equation (15.11.1) lead to an interesting Riemann sheet structure. …
    15: Richard A. Askey
    This inequality was a key element of Louis de Branges’ proof of the Bieberbach conjecture in 1985. … Askey was a member of the original editorial committee for the DLMF project, serving as an Associate Editor advising on all aspects of the project from the mid-1990’s to the mid-2010’s when the organizational structure of the DLMF project was reconstituted; see About the Project.
    16: How to Cite
    Citations from other electronic media (the web, email, …), should, of course, use the appropriate means to give the site URL (https://dlmf.nist.gov/), or specific Permalinks. …
    17: 8.24 Physical Applications
    With more general values of p , E p ( x ) supplies fundamental auxiliary functions that are used in the computation of molecular electronic integrals in quantum chemistry (Harris (2002), Shavitt (1963)), and also wave acoustics of overlapping sound beams (Ding (2000)).
    18: Barry I. Schneider
    Before coming to NIST in 2014, he was a postdoctoral research associate at the University of Southern California (1969-1970), and a staff member of the General Telephone and Electronics Laboratory (1970-1972). …
    19: Bibliography T
  • A. Trellakis, A. T. Galick, and U. Ravaioli (1997) Rational Chebyshev approximation for the Fermi-Dirac integral F 3 / 2 ( x ) . Solid–State Electronics 41 (5), pp. 771–773.
  • C. Truesdell (1945) On a function which occurs in the theory of the structure of polymers. Ann. of Math. (2) 46, pp. 144–157.
  • 20: Philip J. Davis
    At that time John Todd was Chief of the Numerical Analysis Section of the Applied Mathematics Division and head of the Computation Laboratory that co-developed, with the NBS Electronic Computer Laboratory, the Standards Eastern Automatic Computer (SEAC), the first fully operational stored-program electronic digital computer in the United States. …