complex physical systems

SearchAdvancedHelp

(0.002 seconds)

11—20 of 26 matching pages

11: Bibliography S

… ►

Rational surfaces associated with affine root systems and geometry of the Painlevé equations. Comm. Math. Phys. 220 (1), pp. 165–229.

ⓘ

External Links:

ISSN 0010-3616, Document, MathReview (I. Dolgachev), ZentralBlatt

Referenced by:

§32.7(viii).

Encodings:

BibTeX

… ►

Number Theory in Science and Communication: With Applications in Cryptography, Physics, Digital Information, Computing, and Self-Similarity. 4th edition, Springer-Verlag, Berlin.

ⓘ

Notes:

Volume 7 in Springer Series in Information Sciences.

External Links:

ZentralBlatt

Referenced by:

§27.16, §27.17.

Encodings:

BibTeX

… ►

Decoherent dynamics of a two-level system coupled to a sea of spins. Phys. Rev. Lett. 81 (26), pp. 5710–5713.

ⓘ

External Links:

Document

Referenced by:

§11.12.

Encodings:

BibTeX

… ►

Resonances in $n$-body quantum systems with dilatation analytic potentials and the foundations of time-dependent perturbation theory. Ann. of Math. (2) 97, pp. 247–274.

ⓘ

External Links:

ISSN 0003-486X, Document, Link, MathReview (K. Kumar)

Referenced by:

§1.18(viii).

Encodings:

BibTeX

… ►

Physics of the Earth. 2nd edition, John Wiley & Sons, Inc., New York.

ⓘ

Notes:

Fourth edition published in 2008 by Cambridge University Press.

External Links:

ISBN 0-471-81956-5;0646090917, ZentralBlatt

Referenced by:

§14.30(iv).

Encodings:

BibTeX

…

12: Bibliography G

… ►

The GAP Group, Centre for Interdisciplinary Research in Computational Algebra, University of St. Andrews, United Kingdom.

ⓘ

Notes:

Groups, Algorithms, Programming: A system for computational discrete algebra with emphasis on computational group theory.

External Links:

GAP

Referenced by:

2nd item.

Encodings:

BibTeX

… ►

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

ⓘ

External Links:

ISBN 1-4020-0101-0, MathReview Entry

Referenced by:

Profile Mourad E.H. Ismail.

Encodings:

BibTeX

… ►

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

ⓘ

External Links:

MathReview Entry, ZentralBlatt

Referenced by:

§26.20.

Encodings:

BibTeX

… ►

Fourier transforms related to a root system of rank 1. Transform. Groups 12 (1), pp. 77–116.

ⓘ

External Links:

ISSN 1083-4362, Link, MathReview (Genkai Zhang), ZentralBlatt

Referenced by:

§18.28(xi), §18.38(iii).

Encodings:

BibTeX

… ►

One-parameter systems of solutions of Painlevé equations. Differ. Uravn. 14 (12), pp. 2131–2135 (Russian).

ⓘ

Notes:

In Russian. English translation: Differential Equations 14(12), pp. 1510–1513 (1979)

External Links:

ISSN 0374-0641, MathReview (M. Tvrdý), ZentralBlatt

Referenced by:

§32.10(i), §32.10(ii), §32.10(iii), §32.7(iv).

Encodings:

BibTeX

…

13: Bibliography P

… ►

ⓘ

Notes:

Computer algebra system designed for computations in number theory. Many transcendental functions are also included. PARI is also available as a C library to allow for faster computations. Originally developed by Henri Cohen and co-workers at the Université Bordeaux I.

External Links:

Home Page

Referenced by:

§ ‣ Software Cross Index, § ‣ Software Cross Index, § ‣ Software Cross Index, § ‣ Software Cross Index, § ‣ Software Cross Index, § ‣ Software Cross Index.

Encodings:

BibTeX

… ►

Gauge Field Theories. Cambridge Monographs on Mathematical Physics, Cambridge University Press, Cambridge.

ⓘ

External Links:

ISBN 0-521-26537-1, MathReview (G. R. Allcock), ZentralBlatt

Referenced by:

§22.19(ii).

Encodings:

BibTeX

… ►

Systèmes de polynomes biorthogonaux qui généralisent les polynomes ultrasphériques. C. R. Acad. Sci. Paris 228, pp. 1998–2000.

ⓘ

External Links:

ISSN 0001-4036, MathReview (G. Szegö)

Referenced by:

§18.35(i).

Encodings:

BibTeX

… ►

Comoving coordinate system for relativistic hydrodynamics. Phy. Rev. C 75, pp. (024907–1)–(024907–10).

ⓘ

External Links:

Document

Referenced by:

§7.21.

Encodings:

BibTeX

… ►

Elliptic integrals. Computers in Physics 4 (1), pp. 92–96.

ⓘ

Referenced by:

2nd item.

Encodings:

BibTeX

…

14: Bibliography N

… ►

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

ⓘ

External Links:

MathReview (A. S. Householder), ZentralBlatt

Referenced by:

§3.8(iv).

Encodings:

BibTeX

… ►

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

ⓘ

Notes:

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

External Links:

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

Referenced by:

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

Encodings:

BibTeX

… ►

Affine Weyl groups, discrete dynamical systems and Painlevé equations. Comm. Math. Phys. 199 (2), pp. 281–295.

ⓘ

External Links:

ISSN 0010-3616, Document, MathReview (Alexander Vladimirovich Kitaev), ZentralBlatt

Referenced by:

§32.2(v).

Encodings:

BibTeX

… ►

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

ⓘ

External Links:

Document, MathReview (E. Ar)

Referenced by:

§14.31(iii).

Encodings:

BibTeX

►

Diffraction Effects in Semiclassical Scattering. Montroll Memorial Lecture Series in Mathematical Physics, Cambridge University Press.

ⓘ

Notes:

Also available electronically through Cambridge Books Online, ISBN 9780511599903.

External Links:

ISBN 9780521383189, Document

Referenced by:

§9.16, §9.16.

Encodings:

BibTeX

…

15: 28.32 Mathematical Applications

… ►

§28.32(i) Elliptical Coordinates and an Integral Relationship

►If the boundary conditions in a physical problem relate to the perimeter of an ellipse, then elliptical coordinates are convenient. … ► ►

§28.32(ii) Paraboloidal Coordinates

►The general paraboloidal coordinate system is linked with Cartesian coordinates via …

16: Bibliography R

… ►

ⓘ

Notes:

Symbolic and extended-precision general purpose computer algebra system.

External Links:

Home Page

Referenced by:

§ ‣ Software Cross Index.

Encodings:

BibTeX

… ►

Methods of Modern Mathematical Physics, Vol. 2, Fourier Analysis, Self-Adjointness. Academic Press, New York.

ⓘ

External Links:

ISBN 978-0-12-585002-5, MathReview Entry

Referenced by:

§1.18(x).

Encodings:

BibTeX

►

Methods of Modern Mathematical Physics, Vol. 4, Analysis of Operators. Academic Press, New York.

ⓘ

External Links:

ISBN 0-12-585004-2(vol.4), MathReview (P. R. Chernoff)

Referenced by:

§1.18(x).

Encodings:

BibTeX

… ►

Complex Coordinates in the Theory of Atomic and Molecular Structure and Dynamics. Annual Review of Physical Chemistry 33, pp. 223–255.

ⓘ

Referenced by:

§1.18(viii).

Encodings:

BibTeX

… ►

Elliptic hypergeometric series on root systems. Adv. Math. 181 (2), pp. 417–447.

ⓘ

External Links:

ISSN 0001-8708, Document, MathReview, ZentralBlatt

Referenced by:

§20.11(iii).

Encodings:

BibTeX

…

17: Software Index

… ► ►►►►►

	Open Source													With Book						Commercial
…
16.27(iii) Complex Arguments	✓											a	✓								✓	✓	✓
…
22.22(iii) Complex Argument	✓					✓						✓	✓	✓						✓	✓	✓	a	✓
…
23.24(iii) Complex Argument														✓						✓	✓	✓	a
…

… ►

These are collections of software (e.g. libraries) or interactive systems of a somewhat broad scope. Contents may be adapted from research software or may be contributed by project participants who donate their services to the project. The software is made freely available to the public, typically in source code form. While formal support of the collection may not be provided by its developers, within active projects there is often a core group who donate time to consider bug reports and make updates to the collection.

… ►

Software associated with papers published in the journal Computer Physics Communications.

…

18: Bibliography H

… ►

Numerical Tools for the Study of Finite Gap Solutions of Integrable Systems. Ph.D. Thesis, Technischen Universität Berlin.

ⓘ

Notes:

(All relevant material, plus corrections, are included in Deconinck et al. (2004).)

External Links:

ZentralBlatt

Referenced by:

§21.5(i).

Encodings:

BibTeX

… ►

25D Table of the First One Hundred Values of $j_{0,s}$,$J_1(j_{0,s})$, $j_{1,s}$,$J_0(j_{1,s})=J_0(j_{0,s+1}^{\prime })$,$j_{1,s}^{\prime }$,$J_1(j_{1,s}^{\prime })$ . Technical report Department of Physics, Worcester Polytechnic Institute, Worcester, MA.

ⓘ

Notes:

Ms. of six pages deposited in the UMT file

Referenced by:

8th item.

Encodings:

BibTeX

… ►

The Functions of Mathematical Physics. Wiley-Interscience [John Wiley & Sons, Inc.], New York-London-Sydney.

ⓘ

Notes:

Pure and Applied Mathematics, Vol. XXIII. Reprinted with corrections by Dover Publications Inc., New York, 1986.

External Links:

MathReview, ZentralBlatt

Referenced by:

§13.28(i), Ch.13, §15.17(ii), Ch.15.

Encodings:

BibTeX

… ►

Mathematical Problems of Radiative Equilibrium. Cambridge Tracts in Mathematics and Mathematical Physics No. 31, Cambridge University Press, Cambridge.

ⓘ

Notes:

Reprinted by Stechert-Hafner, Inc., New York, 1964

External Links:

MathReview, ZentralBlatt

Referenced by:

§8.19(ix), §8.24(iii).

Encodings:

BibTeX

… ►

Analytical structure and properties of Coulomb wave functions for real and complex energies. Ann. Physics 155 (2), pp. 461–493.

ⓘ

External Links:

ISSN 0003-4916, Document, MathReview

Referenced by:

§33.10(ii), §33.13, §33.22(vii).

Encodings:

BibTeX

…

19: Bibliography B

… ►

A Fortran-90 based multiprecision system. ACM Trans. Math. Software 21 (4), pp. 379–387.

ⓘ

External Links:

ISSN 0098-3500, Document, ZentralBlatt

Referenced by:

§4.48(iii).

Encodings:

BibTeX

… ►

Polynomials defined by a difference system. J. Math. Anal. Appl. 2 (2), pp. 223–263.

ⓘ

External Links:

Document, MathReview (F. L. Spitzer), ZentralBlatt

Referenced by:

§18.33(v).

Encodings:

BibTeX

… ►

Chaos in atomic physics. Cambridge Monographs on Atomic, Molecular and Chemical Physics, 10, Cambridge University Press, Cambridge.

ⓘ

External Links:

ISBN 0-521-45502-2, Document, Link, MathReview (A. Ventura), ZentralBlatt

Referenced by:

Profile William P. Reinhardt.

Encodings:

BibTeX

… ►

Error estimates for the solution of linear systems. SIAM J. Sci. Comput. 21 (2), pp. 764–781.

ⓘ

External Links:

ISSN 1095-7197, Document, MathReview (Dimitrios Noutsos), ZentralBlatt

Referenced by:

§3.2(iii).

Encodings:

BibTeX

… ►

Density profiles in confined critical systems and conformal invariance. Phys. Rev. Lett. 66 (7), pp. 895–898.

ⓘ

External Links:

Document

Referenced by:

§15.18.

Encodings:

BibTeX

…

20: 18.39 Applications in the Physical Sciences

§18.39 Applications in the Physical Sciences

… ►

Introduction and One-Dimensional (1D) Systems

… ►

1D Quantum Systems with Analytically Known Stationary States

… ►The eigenvalues and radial wave functions are independent of $m_l$ and they both do depend on $l$ due to the presence of the ‘fictitious’ centrifugal potential ${\mathrm{\hslash }}^{2}l(l+1)/(2m{r}^2)$, which is a result of the choice of co-ordinate system, and not the physical potential energy of interaction $V(r)$. … ►For physical applications of $q$-Laguerre polynomials see §17.17. …