Klein–Gordon equation

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1: 33.22 Particle Scattering and Atomic and Molecular Spectra

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§33.22(iv) Klein–Gordon and Dirac Equations

►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). … ►The Coulomb solutions of the Schrödinger and Klein–Gordon equations are almost always used in the external region, outside the range of any non-Coulomb forces or couplings. …

2: Bibliography C

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Coulomb effects in the Klein-Gordon equation for pions. Phys. Rev. C 20 (2), pp. 696–704.

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5th item.

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3: Bibliography J

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Fonctions de Mathieu et polynômes de Klein-Gordon. C. R. Acad. Sci. Paris Sér. I Math. 325 (7), pp. 713–716 (French).

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Notes:

Translated title: Mathieu functions and Klein-Gordon polynomials.

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ISSN 0764-4442, Document, MathReview, ZentralBlatt

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7th item.

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Monodromy preserving deformation of linear ordinary differential equations with rational coefficients. II. Phys. D 2 (3), pp. 407–448.

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ISSN 0167-2789, Document, MathReview (V. A. Golubeva), ZentralBlatt

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§32.4(i), §32.4(ii), §32.4(iv), §32.4(v), §32.6(ii), §32.6(iii), §32.6(iv), §32.6(v), §32.6(v), §32.6(v).

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Differential equations and mathematical biology. Chapman & Hall/CRC Mathematical and Computational Biology Series, CRC Press, Boca Raton, FL.

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Second edition of Jones and Sleeman (2003)

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ISBN 978-1-4200-8357-6, MathReview Entry, ZentralBlatt

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Profile Brian D. Sleeman.

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Differential equations and mathematical biology. Chapman & Hall/CRC Mathematical Biology and Medicine Series, Chapman & Hall/CRC, Boca Raton, FL.

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A second edition was published in 2010.

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ISBN 1-58488-296-4, MathReview (Jian Hong Wu), ZentralBlatt

Referenced by:

D. S. Jones, M. J. Plank, and B. D. Sleeman (2010).

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On Boutroux’s tritronquée solutions of the first Painlevé equation. Stud. Appl. Math. 107 (3), pp. 253–291.

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ISSN 0022-2526, Document, MathReview, ZentralBlatt

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§32.12(i).

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4: Bibliography B

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Random and Restricted Walks: Theory and Applications. Gordon and Breach, New York.

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ZentralBlatt

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§16.24(i).

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KLEIN: Coulomb functions for real $\lambda$ and positive energy to high accuracy. Comput. Phys. Comm. 24 (2), pp. 141–159.

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Double-precision Fortran code for positive energies.

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5th item, §33.23(vii), 1st item.

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An Introduction to Linear Difference Equations. Dover Publications Inc., New York.

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Unaltered republication of the original 1927 Harvard University edition.

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MathReview, ZentralBlatt

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§8.1, Notations P, Notations Q.

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Vortices in Ginzburg-Landau Equations. In Proceedings of the International Congress of Mathematicians, Vol. III (Berlin, 1998), pp. 11–19.

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ISSN 1431-0643, FullText, MathReview Entry, ZentralBlatt

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§17.17.

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From Klein to Painlevé via Fourier, Laplace and Jimbo. Proc. London Math. Soc. (3) 90 (1), pp. 167–208.

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ISSN 0024-6115, Document, MathReview (Andrei A. Kapaev), ZentralBlatt

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§32.9(iii).

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