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21: Bibliography G

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Symbolic Computation, Number Theory, Special Functions, Physics and Combinatorics. Developments in Mathematics, Vol. 4, Kluwer Academic Publishers, Dordrecht.

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ISBN 1-4020-0101-0, MathReview Entry

Referenced by:

Profile Mourad E.H. Ismail.

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

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Document

Referenced by:

§15.18.

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Combinatorics in Statistical Physics. In Handbook of Combinatorics, Vol. 2, R. L. Graham, M. Grötschel, and L. Lovász (Eds.), pp. 1925–1954.

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External Links:

MathReview Entry, ZentralBlatt

Referenced by:

§26.20.

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A Treatise on Bessel Functions and their Applications to Physics. 2nd edition, Macmillan and Co., London.

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Notes:

Table errata: Math. Comp. v. 24 (1970), p. 240, v. 31 (1978), pp. 806 and 1046, and v. 32 (1978), pp. 318. Reprinted by Dover Publications Inc., New York, 1966.

External Links:

MathReview, ZentralBlatt

Referenced by:

§10.21(x), §10.73(i), §10.73(i).

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General approach to few-cycle intense laser interactions with complex atoms. Phys. Rev. A 76, pp. 053411.

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Document, Link

Referenced by:

§3.2(vi).

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22: 12.17 Physical Applications

§12.17 Physical Applications

►The main applications of PCFs in mathematical physics arise when solving the Helmholtz equation … ►Lastly, parabolic cylinder functions arise in the description of ultra cold atoms in harmonic trapping potentials; see Busch et al. (1998) and Edwards et al. (1999).

23: Bibliography N

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Modern Computing Methods. 2nd edition, Notes on Applied Science, No. 16, Her Majesty’s Stationery Office, London.

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External Links:

MathReview (A. S. Householder), ZentralBlatt

Referenced by:

§3.8(iv).

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Coulomb Functions for Large Values of the Parameter $\eta$ . Technical report Atomic Energy of Canada Limited, Chalk River, Ontario.

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Notes:

Rep. CRT-526

External Links:

MathReview (A. Erdélyi)

Referenced by:

§33.7.

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Special Functions of Mathematical Physics: A Unified Introduction with Applications. Birkhäuser Verlag, Basel.

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Notes:

Translated from the Russian and with a preface by Ralph P. Boas, with a foreword by A. A. Samarskiĭ

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ISBN 3-7643-3183-6, MathReview, ZentralBlatt

Referenced by:

§18.18(i), Erratum (V1.2.0) Section 18.39.

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

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Document, MathReview (E. Ar)

Referenced by:

§14.31(iii).

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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.

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ISBN 9780521383189, Document

Referenced by:

§9.16, §9.16.

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24: Bibliography E

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Properties of a Raman atom-laser output coupler. J. Phys. B 32 (12), pp. 2935–2950.

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FullText

Referenced by:

§12.17.

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Ten Physical Applications of Spectral Zeta Functions. Lecture Notes in Physics. New Series m: Monographs, Vol. 35, Springer-Verlag, Berlin.

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ISBN 3-540-60230-5, MathReview (Alfred Actor), ZentralBlatt

Referenced by:

§25.17.

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25: Bibliography C

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Coulomb phase shift. American Journal of Physics 47 (8), pp. 683–684.

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External Links:

Document

Referenced by:

§5.20.

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Nonclassical Symmetry Reductions and Exact Solutions for Physically Significant Nonlinear Evolution Equations. In Nonlinear and Chaotic Phenomena in Plasmas, Solids and Fluids (Edmonton, AB, 1990), W. Rozmus and J. A. Tuszynski (Eds.), pp. 72–79.

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External Links:

MathReview

Referenced by:

§29.19(ii).

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The Theory of Atomic Spectra. Cambridge University Press, Cambridge.

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Notes:

Reprinted with corrections in 1991. Transferred to digital reprinting, 1999.

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ISBN 0-521-04713-7; 0-521-09209-4, ZentralBlatt

Referenced by:

§34.1, Erratum (V1.0.14) for Section 34.1, Erratum (V1.0.15) for Section 34.1.

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Asymptotic Expansions. Cambridge Tracts in Mathematics and Mathematical Physics, Cambridge University Press, New York.

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MathReview (A. E. Danese), ZentralBlatt

Referenced by:

Ch.2.

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Methods of mathematical physics. Vol. I. Interscience Publishers, Inc., New York, N.Y..

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External Links:

MathReview (J. B. Diaz), ZentralBlatt

Referenced by:

(14.30.8_5).

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26: Bibliography D

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Nuclear Shell Theory. Pure and Applied Physics, Vol. 14, Academic Press, New York.

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Notes:

Reprinted by Dover Publications Inc., New York, 2004.

External Links:

ISBN 0-486-43933-X, MathReview (D. J. Thouless)

Referenced by:

§34.12, §34.3(i), §34.3(iv), §34.4, §34.5(i), §34.5(vi), §34.6, §34.7(i), §34.7(vi), Ch.34.

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Atomic motions in a rigid sphere gas as a problem in neutron transport. Nucl. Sci. Eng. 24 (2), pp. 142–152.

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Referenced by:

§18.39(iii).

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From Nonlinearity to Coherence: Universal Features of Nonlinear Behaviour in Many-Body Physics. Oxford University Press, Oxford.

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Referenced by:

Profile Peter A. Clarkson.

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A program to calculate internal conversion coefficients for all atomic shells without screening. Comput. Phys. Comm. 2 (7), pp. 427–432.

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Notes:

Single-precision Fortran

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Document, Code

Referenced by:

1st item.

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A Laguerre polynomial orthogonality and the hydrogen atom. Anal. Appl. (Singap.) 1 (2), pp. 177–188.

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ISSN 0219-5305, Document, Link, MathReview (E. Kreyszig), ZentralBlatt

Referenced by:

§18.39(ii), (33.14.15), Erratum (V1.0.24) for Equation (33.14.15).

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27: 19.33 Triaxial Ellipsoids

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§19.33(ii) Potential of a Charged Conducting Ellipsoid

… ►Ellipsoidal distributions of charge or mass are used to model certain atomic nuclei and some elliptical galaxies. …

28: Bibliography K

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The group $\mathrm{O}(4)$, separation of variables and the hydrogen atom. SIAM J. Appl. Math. 30 (4), pp. 630–664.

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Document, MathReview (Anthony J. Bracken), ZentralBlatt

Referenced by:

§31.17(i).

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Auxiliary table for the incomplete elliptic integrals. J. Math. Physics 27, pp. 11–36.

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MathReview (S. C. van Veen), ZentralBlatt

Referenced by:

§19.12.

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Introduction to Solid State Physics. 7th Edition edition, John Wiley and Sons, New York.

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External Links:

ISBN 0-471-11181-3

Referenced by:

§1.18(vii).

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Dark optical solitons: Physics and applications. Physics Reports 298 (2-3), pp. 81–197.

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External Links:

Document

Referenced by:

§22.19(iii).

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Rays and caustics as physical objects. In Progress in Optics, E. Wolf (Ed.), Vol. 26, pp. 227–348.

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ISBN 0444870962

Referenced by:

§36.14(i).

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