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1: 33.22 Particle Scattering and Atomic and Molecular Spectra

§33.22 Particle Scattering and Atomic and Molecular Spectra

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Attractive potentials:	, .
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… ►The relativistic motion of spinless particles in a Coulomb field, as encountered in pionic atoms and pion-nucleon scattering (Backenstoss (1970)) is described by a Klein–Gordon equation equivalent to (33.2.1); see Barnett (1981a). …

2: 5.20 Physical Applications

… ►Veneziano (1968) identifies relationships between particle scattering amplitudes described by the beta function, an important early development in string theory. …

3: 36.14 Other Physical Applications

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

4: Bibliography B

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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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5: 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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6: 15.18 Physical Applications

… ►More varied applications include photon scattering from atoms (Gavrila (1967)), energy distributions of particles in plasmas (Mace and Hellberg (1995)), conformal field theory of critical phenomena (Burkhardt and Xue (1991)), quantum chromo-dynamics (Atkinson and Johnson (1988)), and general parametrization of the effective potentials of interaction between atoms in diatomic molecules (Herrick and O’Connor (1998)).

7: Bibliography N

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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).

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8: 1.18 Linear Second Order Differential Operators and Eigenfunction Expansions

… ►which appear in the quantum theory of binding or scattering of a particle in a spherically symmetric potential $V(r)$ in three dimensions, and where $r\in [0,\mathrm{\infty })$. …

9: 18.39 Applications in the Physical Sciences

… ►For the potential $V(r)=+Z{e}^2/r$, corresponding to interaction of particles with like charges, there are no bound states, the continuum scattering states form a complete set for each $l$, as discussed in Chapter 33, and their discretized versions in §18.39(iv). …

10: Bibliography M

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A dispersion function for plasmas containing superthermal particles. Physics of Plasmas 2 (6), pp. 2098–2109.

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Referenced by:

§15.18.

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Crossing symmetric expansions of physical scattering amplitudes: The $O(2,1)$ group and Lamé functions. J. Mathematical Phys. 12, pp. 281–293.

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Referenced by:

§29.19(ii).

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Geometrical and Catastrophe Optics Methods in Scattering. In Physical Acoustics, A. D. Pierce and R. N. Thurston (Eds.), Vol. 21, pp. 1–234.

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Referenced by:

§36.14(ii).

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Complex-energy method for elastic $e$-H scattering above the ionization threshold. Phys. Rev. Lett. 23 (7), pp. 361–363.

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Document

Referenced by:

1st item.

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