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high-frequency scattering


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1: 12.17 Physical Applications
Dean (1966) describes the role of PCFs in quantum mechanical systems closely related to the one-dimensional harmonic oscillator. Problems on high-frequency scattering in homogeneous media by parabolic cylinders lead to asymptotic methods for integrals involving PCFs. …
2: 14.31 Other Applications
Many additional physical applications of Legendre polynomials and associated Legendre functions include solution of the Helmholtz equation, as well as the Laplace equation, in spherical coordinates (Temme (1996b)), quantum mechanics (Edmonds (1974)), and high-frequency scattering by a sphere (Nussenzveig (1965)). …
3: Bibliography N
  • H. M. Nussenzveig (1965) High-frequency scattering by an impenetrable sphere. Ann. Physics 34 (1), pp. 23–95.
  • 4: Bibliography B
  • W. G. C. Boyd (1973) The asymptotic analysis of canonical problems in high-frequency scattering theory. II. The circular and parabolic cylinders. Proc. Cambridge Philos. Soc. 74, pp. 313–332.
  • 5: 29.19 Physical Applications
    §29.19(ii) Lamé Polynomials
    Hargrave (1978) studies high frequency solutions of the delta wing equation. Macfadyen and Winternitz (1971) finds expansions for the two-body relativistic scattering amplitudes. …