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quantum field theory

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11: Mourad E. H. Ismail
… β–ΊIsmail has published numerous papers on special functions, orthogonal polynomials, approximation theory, combinatorics, asymptotics, and related topics. His well-known book Classical and Quantum Orthogonal Polynomials in One Variable was published by Cambridge University Press in 2005 and reprinted with corrections in paperback in Ismail (2009). … β–Ί Rahman), Fields Institute Communications, v. … Suslov), Kluwer Academic Publishers, 2001; Symbolic Computation, Number Theory, Special Functions, Physics and Combinatorics (with F. … Garvan), Kluwer Academic Publishers, 2001; and Theory and Applications of Special Functions: A volume dedicated to Mizan Rahman (with E. …
12: Bibliography G
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  • D. Gómez-Ullate and R. Milson (2014) Rational extensions of the quantum harmonic oscillator and exceptional Hermite polynomials. J. Phys. A 47 (1), pp. 015203, 26 pp..
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    External Links:
    ISSN 1751-8113, Document, Link, MathReview (Brian Simanek)
    Referenced by:
    §18.36(vi), §18.36(vi).
    Encodings:
    BibTeX
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  • K. Gottfried and T. Yan (2004) Quantum mechanics: fundamentals. Second edition, Springer-Verlag, New York.
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    External Links:
    ISBN 0-387-22023-2, MathReview (Howard E. Brandt), ZentralBlatt
    Referenced by:
    §18.39(i).
    Encodings:
    BibTeX
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  • J. J. Gray (2000) Linear Differential Equations and Group Theory from Riemann to Poincaré. 2nd edition, Birkhäuser Boston Inc., Boston, MA.
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    External Links:
    ISBN 0-8176-3837-7, MathReview, ZentralBlatt
    Referenced by:
    §15.17(v).
    Encodings:
    BibTeX
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  • C. H. Greene, U. Fano, and G. Strinati (1979) General form of the quantum-defect theory. Phys. Rev. A 19 (4), pp. 1485–1509.
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    External Links:
    Document
    Referenced by:
    item Greene et al. (1979):, Notations F, Notations F, Notations G.
    Encodings:
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  • W. Greiner, B. Müller, and J. Rafelski (1985) Quantum Electrodynamics of Strong Fields: With an Introduction into Modern Relativistic Quantum Mechanics. Texts and Monographs in Physics, Springer.
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    Referenced by:
    §33.22(iv).
    Encodings:
    BibTeX
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    13: Bibliography V
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  • B. Ph. van Milligen and A. López Fraguas (1994) Expansion of vacuum magnetic fields in toroidal harmonics. Comput. Phys. Comm. 81 (1-2), pp. 74–90.
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    External Links:
    Document
    Referenced by:
    §14.31(i).
    Encodings:
    BibTeX
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  • D. A. Varshalovich, A. N. Moskalev, and V. K. KhersonskiΔ­ (1988) Quantum Theory of Angular Momentum. World Scientific Publishing Co. Inc., Singapore.
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  • N. Ja. Vilenkin and A. U. Klimyk (1992) Representation of Lie Groups and Special Functions. Volume 3: Classical and Quantum Groups and Special Functions. Mathematics and its Applications (Soviet Series), Vol. 75, Kluwer Academic Publishers Group, Dordrecht.
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    Notes:
    Translated from the Russian by V. A. Groza and A. A. Groza
    External Links:
    ISBN 0-7923-1493-X, MathReview (P. D. F. Ion), ZentralBlatt
    Referenced by:
    §18.38(iii), Ch.35.
    Encodings:
    BibTeX
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  • N. Ja. Vilenkin (1968) Special Functions and the Theory of Group Representations. American Mathematical Society, Providence, RI.
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    External Links:
    MathReview, ZentralBlatt
    Referenced by:
    §13.27.
    Encodings:
    BibTeX
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  • M. N. Vrahatis, O. Ragos, T. Skiniotis, F. A. Zafiropoulos, and T. N. Grapsa (1997b) The topological degree theory for the localization and computation of complex zeros of Bessel functions. Numer. Funct. Anal. Optim. 18 (1-2), pp. 227–234.
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    External Links:
    ISSN 0163-0563, Document, MathReview, ZentralBlatt
    Referenced by:
    §10.74(vi).
    Encodings:
    BibTeX
    • 14: 14.31 Other Applications
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    §14.31(i) Toroidal Functions
    β–ΊApplications of toroidal functions include expansion of vacuum magnetic fields in stellarators and tokamaks (van Milligen and López Fraguas (1994)), analytic solutions of Poisson’s equation in channel-like geometries (Hoyles et al. (1998)), and Dirichlet problems with toroidal symmetry (Gil et al. (2000)). … β–Ί
    §14.31(ii) Conical Functions
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    §14.31(iii) Miscellaneous
    β–ΊMany additional physical applications of Legendre polynomials and associated Legendre functions include solution of the Helmholtz equation, as well as the Laplace equation, in spherical coordinates (Temme (1996b)), quantum mechanics (Edmonds (1974)), and high-frequency scattering by a sphere (Nussenzveig (1965)). …
    15: Bibliography K
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  • V. Kac and P. Cheung (2002) Quantum Calculus. Universitext, Springer-Verlag, New York.
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    External Links:
    ISBN 0-387-95341-8, MathReview (P. D. F. Ion), ZentralBlatt
    Referenced by:
    Ch.17.
    Encodings:
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  • E. Kanzieper (2002) Replica field theories, Painlevé transcendents, and exact correlation functions. Phys. Rev. Lett. 89 (25), pp. (250201–1)–(250201–4).
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    External Links:
    ISSN 0031-9007, Document, MathReview, ZentralBlatt
    Referenced by:
    §32.16.
    Encodings:
    BibTeX
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  • C. Kassel (1995) Quantum Groups. Graduate Texts in Mathematics, Vol. 155, Springer-Verlag, New York.
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    External Links:
    ISBN 0-387-94370-6, MathReview (Yu. N. Bespalov), ZentralBlatt
    Referenced by:
    §17.17.
    Encodings:
    BibTeX
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  • R. P. Kerr (1963) Gravitational field of a spinning mass as an example of algebraically special metrics. Phys. Rev. Lett. 11 (5), pp. 237–238.
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    External Links:
    Document, MathReview (C. Gilbert), ZentralBlatt
    Referenced by:
    §31.17(ii).
    Encodings:
    BibTeX
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  • E. J. Konopinski (1981) Electromagnetic Fields and Relativistic Particles. International Series in Pure and Applied Physics, McGraw-Hill Book Co., New York.
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    External Links:
    ISBN 0-07-035264-X, MathReview (George Zipfel, Jr.)
    Referenced by:
    §1.17(ii), §10.73(ii).
    Encodings:
    BibTeX
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    16: Bibliography P
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  • R. B. Paris and W. N.-C. Sy (1983) Influence of equilibrium shear flow along the magnetic field on the resistive tearing instability. Phys. Fluids 26 (10), pp. 2966–2975.
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    External Links:
    ISSN 0031-9171, Document, MathReview, ZentralBlatt
    Referenced by:
    §11.12, §11.7(ii).
    Encodings:
    BibTeX
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  • G. Parisi (1988) Statistical Field Theory. Addison-Wesley, Reading, MA.
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    External Links:
    ISBN 0-201-05985-1, MathReview (Tony C. Dorlas), ZentralBlatt
    Referenced by:
    §22.19(ii).
    Encodings:
    BibTeX
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  • T. Pearcey (1946) The structure of an electromagnetic field in the neighbourhood of a cusp of a caustic. Philos. Mag. (7) 37, pp. 311–317.
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    External Links:
    MathReview (C. J. Bouwkamp)
    Referenced by:
    §36.2(ii).
    Encodings:
    BibTeX
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  • L. Piela (2014) Ideas of Quantum Chemistry. second edition, Elsevier, Amsterdam-New York.
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    External Links:
    ISBN 978-0-444-59436-5
    Referenced by:
    §18.39(ii).
    Encodings:
    BibTeX
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  • S. Pokorski (1987) Gauge Field Theories. Cambridge Monographs on Mathematical Physics, Cambridge University Press, Cambridge.
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    External Links:
    ISBN 0-521-26537-1, MathReview (G. R. Allcock), ZentralBlatt
    Referenced by:
    §22.19(ii).
    Encodings:
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    17: 10.73 Physical Applications
    … β–ΊLaplace’s equation governs problems in heat conduction, in the distribution of potential in an electrostatic field, and in hydrodynamics in the irrotational motion of an incompressible fluid. … β–ΊIn the theory of plates and shells, the oscillations of a circular plate are determined by the differential equation … β–ΊIn quantum mechanics the spherical Bessel functions arise in the solution of the Schrödinger wave equation for a particle in a central potential. …
    18: Bibliography B
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  • L. E. Ballentine and S. M. McRae (1998) Moment equations for probability distributions in classical and quantum mechanics. Phys. Rev. A 58 (3), pp. 1799–1809.
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    External Links:
    Document
    Referenced by:
    §24.18.
    Encodings:
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  • E. Barouch, B. M. McCoy, and T. T. Wu (1973) Zero-field susceptibility of the two-dimensional Ising model near T c . Phys. Rev. Lett. 31, pp. 1409–1411.
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    External Links:
    Document
    Referenced by:
    §32.16.
    Encodings:
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  • R. Becker and F. Sauter (1964) Electromagnetic Fields and Interactions. Vol. I, Blaisdell, New York.
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    Notes:
    Replaces Abraham & Becker, Classical Theory of Electricity and Magnetism.
    Referenced by:
    §19.33(iii), §19.34.
    Encodings:
    BibTeX
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  • L. C. Biedenharn and J. D. Louck (1981) Angular Momentum in Quantum Physics: Theory and Application. Encyclopedia of Mathematics and its Applications, Vol. 8, Addison-Wesley Publishing Co., Reading, M.A..
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    External Links:
    ISBN 0-201-13507-8, MathReview (Kurt Bernardo Wolf), ZentralBlatt
    Referenced by:
    §34.14.
    Encodings:
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  • L. C. Biedenharn and H. van Dam (Eds.) (1965) Quantum Theory of Angular Momentum. A Collection of Reprints and Original Papers. Academic Press, New York.
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    External Links:
    ISBN 0-12-096056-7, MathReview (R. Mirman)
    Referenced by:
    §34.12, §34.3(v), §34.5(v), §34.7(v).
    Encodings:
    BibTeX
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