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§19.35(ii) Physical►Elliptic integrals appear in lattice models of critical phenomena (Guttmann and Prellberg (1993)); theories of layered materials (Parkinson (1969)); fluid dynamics (Kida (1981)); string theory (Arutyunov and Staudacher (2004)); astrophysics (Dexter and Agol (2009)). …
§21.9 Integrable Equations►Riemann theta functions arise in the study of integrable differential equations that have applications in many areas, including fluid mechanics (Ablowitz and Segur (1981, Chapter 4)), magnetic monopoles (Ercolani and Sinha (1989)), and string theory (Deligne et al. (1999, Part 3)). …
Elementary Particles►Veneziano (1968) identifies relationships between particle scattering amplitudes described by the beta function, an important early development in string theory. …
§23.21 Physical Applications… ►
McLachlan (1947, Chapter XV) for amplitude distortion in moving-coil loud-speakers, frequency modulation, dynamical systems, and vibration of stretched strings.
Aly et al. (1975) for scattering theory.
Fukui and Horiguchi (1992) for quantum theory.