# Hamiltonian structure

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## 1—10 of 29 matching pages

##### 1: 32.6 Hamiltonian Structure

###### §32.6 Hamiltonian Structure

… ►For Hamiltonian structure for ${\text{P}}_{\text{IV}}$ see Jimbo and Miwa (1981), Okamoto (1986); also Forrester and Witte (2001). ►For Hamiltonian structure for ${\text{P}}_{\text{V}}$ see Jimbo and Miwa (1981), Okamoto (1987b); also Forrester and Witte (2002). ►For Hamiltonian structure for ${\text{P}}_{\text{VI}}$ see Jimbo and Miwa (1981) and Okamoto (1987a); also Forrester and Witte (2004).##### 2: 29.19 Physical Applications

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###### §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

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►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).
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##### 5: 26.22 Software

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►For algorithms for counting and analyzing combinatorial structures see Knuth (1993), Nijenhuis and Wilf (1975), and Stanton and White (1986).

##### 6: Alexander I. Bobenko

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► Eitner), published by Springer in 2000, and

*Discrete Differential Geometry: Integrable Structure*(with Y. …##### 7: Bibliography

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Study of nuclear structure by electromagnetic excitation with accelerated ions.
Rev. Mod. Phys. 28, pp. 432–542.
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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.
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##### 8: 36.14 Other Physical Applications

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►These are the structurally stable focal singularities (envelopes) of families of rays, on which the intensities of the geometrical (ray) theory diverge.
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##### 9: 15.17 Mathematical Applications

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►The three singular points in Riemann’s differential equation (15.11.1) lead to an interesting Riemann sheet structure.
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##### 10: Richard A. Askey

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►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.