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scattering theory

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1: Ian J. Thompson
Thompson has published papers on special functions, and numerous papers in theoretical nuclear physics, especially in scattering theory. …
2: T. Mark Dunster
He has received a number of National Science Foundation grants, and has published numerous papers in the areas of uniform asymptotic solutions of differential equations, convergent WKB methods, special functions, quantum mechanics, and scattering theory. …
3: Brian D. Sleeman
Sleeman published numerous papers in applied analysis, multiparameter spectral theory, direct and inverse scattering theory, and mathematical medicine. …
4: William P. Reinhardt
Older work on the scattering theory of the atomic Coulomb problem led to the discovery of new classes of orthogonal polynomials relating to the spectral theory of Schrödinger operators, and new uses of old ones: this work was strongly motivated by his original ownership of a 1964 hard copy printing of the original AMS 55 NBS Handbook of Mathematical Functions. …
5: 28.33 Physical Applications
  • Aly et al. (1975) for scattering theory.

  • 6: Bibliography N
  • R. G. Newton (2002) Scattering theory of waves and particles. Dover Publications, Inc., Mineola, NY.
  • 7: Bibliography R
  • M. Reed and B. Simon (1979) Methods of Modern Mathematical Physics, Vol. 3, Scattering Theory. Academic Press, New York.
  • 8: Bibliography C
  • D. Colton and R. Kress (1998) Inverse Acoustic and Electromagnetic Scattering Theory. 2nd edition, Applied Mathematical Sciences, Vol. 93, Springer-Verlag, Berlin.
  • J. N. L. Connor and D. C. Mackay (1979) Calculation of angular distributions in complex angular momentum theories of elastic scattering. Molecular Physics 37 (6), pp. 1703–1712.
  • 9: 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.
  • 10: 18.39 Applications in the Physical Sciences
    Discretized and Continuum Expansions of Scattering Eigenfunctions in terms of Pollaczek Polynomials: J-matrix Theory
    The equivalent quadrature weight, w i / w CP ( x i ) , also forms the foundation of a novel inversion of the Stieltjes–Perron moment inversion discussed in §18.40(ii). The fact that non- L 2 continuum scattering eigenstates may be expressed in terms or (infinite) sums of L 2 functions allows a reformulation of scattering theory in atomic physics wherein no non- L 2 functions need appear. …