Rutherford scattering

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11: Peter A. Clarkson

… ►His well-known book Solitons, Nonlinear Evolution Equations and Inverse Scattering (with M. …

12: Brian D. Sleeman

… ►Sleeman published numerous papers in applied analysis, multiparameter spectral theory, direct and inverse scattering theory, and mathematical medicine. …

13: 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. …

14: 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. …

15: 36.14 Other Physical Applications

… ►Applications include scattering of elementary particles, atoms and molecules from particles and surfaces, and chemical reactions. …

16: 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. …

17: 9.16 Physical Applications

… ►A study of the semiclassical description of quantum-mechanical scattering is given in Ford and Wheeler (1959a, b). In the case of the rainbow, the scattering amplitude is expressed in terms of $\mathrm{Ai}\left(x\right)$, the analysis being similar to that given originally by Airy (1838) for the corresponding problem in optics. …

18: Bibliography Y

… ►

$J$-matrix method: Extensions to arbitrary angular momentum and to Coulomb scattering. J. Math. Phys. 16, pp. 410–420.

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Referenced by:

§18.39(iv).

Encodings:

BibTeX

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19: 7.21 Physical Applications

… ►These applications include astrophysics, plasma diagnostics, neutron diffraction, laser spectroscopy, and surface scattering. …

20: Bibliography N

… ►

Scattering theory of waves and particles. Dover Publications, Inc., Mineola, NY.

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Notes:

Reprint of the 1982 second edition [Springer, New York; MR0666397 (84f:81001)], with list of errata prepared for this edition by the author

External Links:

ISBN 0-486-42535-5, MathReview Entry

Referenced by:

§1.18(vi), §1.18(viii).

Encodings:

BibTeX

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High-frequency scattering by an impenetrable sphere. Ann. Physics 34 (1), pp. 23–95.

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External Links:

Document, MathReview (E. Ar)

Referenced by:

§14.31(iii).

Encodings:

BibTeX

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Diffraction Effects in Semiclassical Scattering. Montroll Memorial Lecture Series in Mathematical Physics, Cambridge University Press.

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Notes:

Also available electronically through Cambridge Books Online, ISBN 9780511599903.

External Links:

ISBN 9780521383189, Document

Referenced by:

§9.16, §9.16.

Encodings:

BibTeX

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