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1: 32.6 Hamiltonian Structure
§32.6 Hamiltonian Structure
For Hamiltonian structure for P IV  see Jimbo and Miwa (1981), Okamoto (1986); also Forrester and Witte (2001). For Hamiltonian structure for P V  see Jimbo and Miwa (1981), Okamoto (1987b); also Forrester and Witte (2002). For Hamiltonian structure for P VI  see Jimbo and Miwa (1981) and Okamoto (1987a); also Forrester and Witte (2004).
2: 29.19 Physical Applications
§29.19(i) Lamé Functions
Brack et al. (2001) shows that Lamé functions occur at bifurcations in chaotic Hamiltonian systems. …
3: 34.12 Physical Applications
§34.12 Physical Applications
For applications in nuclear structure, see de-Shalit and Talmi (1963); in atomic spectroscopy, see Biedenharn and van Dam (1965, pp. 134–200), Judd (1998), Sobelman (1992, Chapter 4), Shore and Menzel (1968, pp. 268–303), and Wigner (1959); in molecular spectroscopy and chemical reactions, see Burshtein and Temkin (1994, Chapter 5), and Judd (1975). …
4: 26.20 Physical Applications
Applications of combinatorics, especially integer and plane partitions, to counting lattice structures and other problems of statistical mechanics, of which the Ising model is the principal example, can be found in Montroll (1964), Godsil et al. (1995), Baxter (1982), and Korepin et al. (1993). …
5: 26.22 Software
For algorithms for counting and analyzing combinatorial structures see Knuth (1993), Nijenhuis and Wilf (1975), and Stanton and White (1986).
6: Alexander I. Bobenko
 Eitner), published by Springer in 2000, and Discrete Differential Geometry: Integrable Structure (with Y. …
7: Bibliography
  • 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.
  • J. V. Armitage (1989) The Riemann Hypothesis and the Hamiltonian of a Quantum Mechanical System. In Number Theory and Dynamical Systems (York, 1987), M. M. Dodson and J. A. G. Vickers (Eds.), London Math. Soc. Lecture Note Ser., Vol. 134, pp. 153–172.
  • 8: 36.14 Other Physical Applications
    These are the structurally stable focal singularities (envelopes) of families of rays, on which the intensities of the geometrical (ray) theory diverge. …
    9: 15.17 Mathematical Applications
    The three singular points in Riemann’s differential equation (15.11.1) lead to an interesting Riemann sheet structure. …
    10: Richard A. Askey
    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.