Rutherford scattering

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21: 28.33 Physical Applications

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Aly et al. (1975) for scattering theory.

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22: 18.39 Applications in the Physical Sciences

… ►While non-normalizable continuum, or scattering, states are mentioned, with appropriate references in what follows, focus is on the $L^2$ eigenfunctions corresponding to the point, or discrete, spectrum, and representing bound rather than scattering states, these former being expressed in terms of OP’s or EOP’s. … ►

The Quantum Coulomb Problem: Scattering States

… ►As the scattering eigenfunctions of Chapter 33, are not OP’s, their further discussion is deferred to §18.39(iv), where discretized representations of these scattering states are introduced, Laguerre and Pollaczek OP’s then playing a key role. … ►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. As this follows from the three term recursion of (18.39.46) it is referred to as the J-Matrix approach, see (3.5.31), to single and multi-channel scattering numerics. …

23: Bibliography V

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Light Scattering by Small Particles. John Wiley and Sons. Inc., New York.

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External Links:

MathReview (P. M. Morse)

Referenced by:

§9.16.

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Multiple Light Scattering. Vol. 1, Academic Press, New York.

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Referenced by:

§6.17.

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24: Bibliography

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Solitons, Nonlinear Evolution Equations and Inverse Scattering. London Mathematical Society Lecture Note Series, Vol. 149, Cambridge University Press, Cambridge.

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External Links:

ISBN 0-521-38730-2, Document, Link, MathReview (Walter Oevel), ZentralBlatt

Referenced by:

§22.19(ii), §22.19(iii), §32.11(ii), §32.5, §9.16, Profile Mark J. Ablowitz, Profile Peter A. Clarkson.

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Solitons and the Inverse Scattering Transform. SIAM Studies in Applied Mathematics, Vol. 4, Society for Industrial and Applied Mathematics (SIAM), Philadelphia, PA.

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External Links:

ISBN 0-89871-174-6, MathReview (Benno Fuchssteiner), ZentralBlatt

Referenced by:

§21.9, §21.9, §32.5, §9.16, Profile Mark J. Ablowitz.

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High-order interior caustics produced in scattering of a diagonally incident plane wave by a circular cylinder. J. Opt. Soc. Amer. A 14 (6), pp. 1305–1315.

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External Links:

FullText

Referenced by:

§36.14(ii).

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Scattering by singular potentials with a perturbation – Theoretical introduction to Mathieu functions. J. Mathematical Phys. 16, pp. 961–970.

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Notes:

Erratum: same journal 17 (1975), no. 7, p. 1361

External Links:

Document, MathReview (K. Veselic), ZentralBlatt

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4th item.

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25: Bibliography R

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Plane wave scattering by a conducting elliptic cylinder coated by a nonconfocal dielectric. IEEE Trans. Antennas and Propagation 39 (2), pp. 218–223.

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External Links:

Document

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6th item.

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Methods of Modern Mathematical Physics, Vol. 3, Scattering Theory. Academic Press, New York.

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External Links:

ISBN 0-12-585003-4 (vol.3), MathReview (P. R. Chernoff)

Referenced by:

§1.18(x).

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26: Bibliography B

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Electromagnetic Scattering and its Applications. Applied Science Publishers, London.

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External Links:

ISBN 0-85334-955-X

Referenced by:

§10.73(i), §10.73(ii).

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The Scattering of Electromagnetic Waves from Rough Surfaces. Pergamon Press, New York.

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Notes:

Reprinted in 1987 by Artech House Publishers, Norwood, Massachusetts.

External Links:

ISBN 0-89006-238-2, ZentralBlatt

Referenced by:

§10.73(i).

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Uniform approximation for potential scattering involving a rainbow. Proc. Phys. Soc. 89 (3), pp. 479–490.

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External Links:

Document, ZentralBlatt

Referenced by:

§36.14(iii), §9.16.

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Cusped rainbows and incoherence effects in the rippling-mirror model for particle scattering from surfaces. J. Phys. A 8 (4), pp. 566–584.

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External Links:

Document, MathReview

Referenced by:

§36.14(iii).

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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.

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External Links:

Document, MathReview (Y. M. Chen)

Referenced by:

§12.17.

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27: Bibliography F

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Semiclassical description of scattering. Ann. Physics 7 (3), pp. 259–286.

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External Links:

ISSN 0003-4916, Document, MathReview, ZentralBlatt

Referenced by:

§9.16.

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Application of semiclassical scattering analysis. Ann. Physics 7 (3), pp. 287–322.

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External Links:

ISSN 0003-4916, Document, MathReview, ZentralBlatt

Referenced by:

§9.16.

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28: Bibliography G

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Elastic scattering of photons by a hydrogen atom. Phys. Rev. 163 (1), pp. 147–155.

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External Links:

Document

Referenced by:

§15.18.

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New method for constructing wavefunctions for bound states and scattering. J. Chem. Phys. 51, pp. 14–25.

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External Links:

Document, MathReview (K. J. Le Couteur)

Referenced by:

§9.11(iv), §9.17(iii).

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29: Bibliography K

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The Scattering of Light and Other Electromagnetic Radiation. Academic Press, New York.

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External Links:

ISBN 0-12-404550-2

Referenced by:

§10.73(i).

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Quantum Inverse Scattering Method and Correlation Functions. Cambridge University Press, Cambridge.

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External Links:

ISBN 0-521-37320-4; 0-521-58646-1, MathReview (Makoto Idzumi), ZentralBlatt

Referenced by:

§26.20.

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30: Bibliography O

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Scattering by a parabolic cylinder—a uniform asymptotic expansion. J. Math. Phys. 26 (4), pp. 854–860.

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External Links:

ISSN 0022-2488, Document, MathReview (Jean-Louis Guiraud)

Referenced by:

§12.17.

Encodings:

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