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two-body relativistic scattering

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11: Vadim B. Kuznetsov
Kuznetsov published papers on special functions and orthogonal polynomials, the quantum scattering method, integrable discrete many-body systems, separation of variables, Bäcklund transformation techniques, and integrability in classical and quantum mechanics. …
12: Ian J. Thompson
Thompson has published papers on special functions, and numerous papers in theoretical nuclear physics, especially in scattering theory. …
13: Bibliography G
  • M. Gavrila (1967) Elastic scattering of photons by a hydrogen atom. Phys. Rev. 163 (1), pp. 147–155.
  • R. G. Gordon (1969) New method for constructing wavefunctions for bound states and scattering. J. Chem. Phys. 51, pp. 14–25.
  • W. Greiner, B. Müller, and J. Rafelski (1985) Quantum Electrodynamics of Strong Fields: With an Introduction into Modern Relativistic Quantum Mechanics. Texts and Monographs in Physics, Springer.
  • 14: Bibliography K
  • M. Kerker (1969) The Scattering of Light and Other Electromagnetic Radiation. Academic Press, New York.
  • E. J. Konopinski (1981) Electromagnetic Fields and Relativistic Particles. International Series in Pure and Applied Physics, McGraw-Hill Book Co., New York.
  • V. E. Korepin, N. M. Bogoliubov, and A. G. Izergin (1993) Quantum Inverse Scattering Method and Correlation Functions. Cambridge University Press, Cambridge.
  • 15: Bibliography M
  • N. W. Macfadyen and P. Winternitz (1971) Crossing symmetric expansions of physical scattering amplitudes: The O ( 2 , 1 ) group and Lamé functions. J. Mathematical Phys. 12, pp. 281–293.
  • P. L. Marston (1992) Geometrical and Catastrophe Optics Methods in Scattering. In Physical Acoustics, A. D. Pierce and R. N. Thurston (Eds.), Vol. 21, pp. 1–234.
  • R. P. Martinez-y-Romero (2000) Relativistic hydrogen atom revisited. Amer. J. Phys. 68, pp. 1050–1055.
  • F. A. McDonald and J. Nuttall (1969) Complex-energy method for elastic e -H scattering above the ionization threshold. Phys. Rev. Lett. 23 (7), pp. 361–363.
  • 16: Peter A. Clarkson
    17: Brian D. Sleeman
    Sleeman published numerous papers in applied analysis, multiparameter spectral theory, direct and inverse scattering theory, and mathematical medicine. …
    18: 10.73 Physical Applications
    Bessel functions enter in the study of the scattering of light and other electromagnetic radiation, not only from cylindrical surfaces but also in the statistical analysis involved in scattering from rough surfaces. … …
    §10.73(ii) Spherical Bessel Functions
    Accordingly, the spherical Bessel functions appear in all problems in three dimensions with spherical symmetry involving the scattering of electromagnetic radiation. …
    19: 13.28 Physical Applications
    For dynamics of many-body systems see Meden and Schönhammer (1992); for tomography see D’Ariano et al. (1994); for generalized coherent states see Barut and Girardello (1971); for relativistic cosmology see Crisóstomo et al. (2004).
    20: 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. …