§36.14 Other Physical Applications
►
§36.14(i) Caustics
…
►
§36.14(ii) Optics
…
►
§36.14(iv) Acoustics
►Applications include the reflection of ultrasound pulses, and acoustical waveguides.
…
§11.12 Physical Applications
►Applications of Struve functions occur in water-wave and surface-wave problems (
Hirata (1975) and
Ahmadi and Widnall (1985)), unsteady aerodynamics (
Shaw (1985) and
Wehausen and Laitone (1960)), distribution of fluid pressure over a vibrating disk (
McLachlan (1934)), resistive MHD instability theory (
Paris and Sy (1983)), and optical diffraction (
Levine and Schwinger (1948)).
…
§13.27 Mathematical Applications
…
►
►For
applications of Whittaker functions to the uniform asymptotic theory of differential equations with a coalescing turning point and simple pole see §§
2.8(vi) and
18.15(i).
§29.19 Physical Applications
…
►For
applications in antenna research see
Jansen (1977).
…
►Shail (1978) treats
applications to solutions of elliptic crack and punch problems.
…
Strutt (1932) describes various
applications and provides an extensive list of references.
…
§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).
…
§15.18 Physical Applications
…
►More varied
applications include photon scattering from atoms (
Gavrila (1967)), energy distributions of particles in plasmas (
Mace and Hellberg (1995)), conformal field theory of critical phenomena (
Burkhardt and Xue (1991)), quantum chromo-dynamics (
Atkinson and Johnson (1988)), and general parametrization of the effective potentials of interaction between atoms in diatomic molecules (
Herrick and O’Connor (1998)).
§27.17 Other Applications
…
►Rosen (2004, Chapters 5 and 10) describes many of these
applications.
…
►There are also
applications of number theory in many diverse areas, including physics, biology, chemistry, communications, and art.
Schroeder (2006) describes many of these
applications, including the design of concert hall ceilings to scatter sound into broad lateral patterns for improved acoustic quality, precise measurements of delays of radar echoes from Venus and Mercury to confirm one of the relativistic effects predicted by Einstein’s theory of general relativity, and the use of primes in creating artistic graphical designs.
