q-deformed quantum mechanical

SearchAdvancedHelp

(0.002 seconds)

21—30 of 63 matching pages

21: 15.18 Physical Applications

… ►The hypergeometric function has allowed the development of “solvable” models for one-dimensional quantum scattering through and over barriers (Eckart (1930), Bhattacharjie and Sudarshan (1962)), and generalized to include position-dependent effective masses (Dekar et al. (1999)). ►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)).

22: 26.20 Physical Applications

… ►The latter reference also describes chemical applications of other combinatorial techniques. ►Applications of combinatorics, especially integer and plane partitions, to counting lattice structures and other problems of statistical mechanics, of which the Ising model is the principal example, can be found in Montroll (1964), Godsil et al. (1995), Baxter (1982), and Korepin et al. (1993). For an application of statistical mechanics to combinatorics, see Bressoud (1999). …

23: Bibliography S

… ►

Exact recursive evaluation of $3j$- and $6j$-coefficients for quantum-mechanical coupling of angular momenta. J. Mathematical Phys. 16 (10), pp. 1961–1970.

ⓘ

External Links:

Document, MathReview (J.-L. Calais)

Referenced by:

§34.13, §34.3(iii).

Encodings:

BibTeX

►

Semiclassical approximations to $3j$- and $6j$-coefficients for quantum-mechanical coupling of angular momenta. J. Mathematical Phys. 16 (10), pp. 1971–1988.

ⓘ

External Links:

Document, MathReview (J.-L. Calais)

Referenced by:

§34.8.

Encodings:

BibTeX

… ►

General relativity and quantum mechanics: towards a generalization of the Lambert $W$ function: a generalization of the Lambert $W$ function. Appl. Algebra Engrg. Comm. Comput. 17 (1), pp. 41–47.

ⓘ

External Links:

ISSN 0938-1279, Document, FullText, MathReview (E. Capelas de Oliveira), ZentralBlatt

Referenced by:

§4.13, §4.13.

Encodings:

BibTeX

… ►

The Gaussian Function in Calculations of Statistical Mechanics and Quantum Mechanics. In Methods in Computational Physics: Advances in Research and Applications, B. Alder, S. Fernbach, and M. Rotenberg (Eds.), Vol. 2, pp. 1–45.

ⓘ

Referenced by:

§8.24(i), §8.24(iii).

Encodings:

BibTeX

… ►

Spectral Methods in Chemistry and Physics. Applications to Kinetic Theory and Quantum Mechanics. Scientific Computation, Springer-Verlag, Dordrecht.

ⓘ

External Links:

ISBN 978-94-017-9453-4; 978-94-017-9454-1, Document, Link, MathReview (Gabriel Stoltz)

Referenced by:

§18.38(i), §18.39(iii), §18.39(iii), §18.39(iii).

Encodings:

BibTeX

…

24: 24.18 Physical Applications

… ►Bernoulli polynomials appear in statistical physics (Ordóñez and Driebe (1996)), in discussions of Casimir forces (Li et al. (1991)), and in a study of quark-gluon plasma (Meisinger et al. (2002)). ►Euler polynomials also appear in statistical physics as well as in semi-classical approximations to quantum probability distributions (Ballentine and McRae (1998)).

25: Bibliography G

… ►

Rational extensions of the quantum harmonic oscillator and exceptional Hermite polynomials. J. Phys. A 47 (1), pp. 015203, 26 pp..

ⓘ

External Links:

ISSN 1751-8113, Document, Link, MathReview (Brian Simanek)

Referenced by:

§18.36(vi), §18.36(vi).

Encodings:

BibTeX

… ►

Error bounds in equilibrium statistical mechanics. J. Math. Phys. 9, pp. 655–663.

ⓘ

External Links:

ZentralBlatt

Referenced by:

§18.39(iii), §18.40(ii).

Encodings:

BibTeX

… ►

Quantum mechanics: fundamentals. Second edition, Springer-Verlag, New York.

ⓘ

External Links:

ISBN 0-387-22023-2, MathReview (Howard E. Brandt), ZentralBlatt

Referenced by:

§18.39(i).

Encodings:

BibTeX

… ►

General form of the quantum-defect theory. Phys. Rev. A 19 (4), pp. 1485–1509.

ⓘ

External Links:

Document

Referenced by:

item Greene et al. (1979):, Notations F, Notations F, Notations G.

Encodings:

BibTeX

… ►

Quantum Electrodynamics of Strong Fields: With an Introduction into Modern Relativistic Quantum Mechanics. Texts and Monographs in Physics, Springer.

ⓘ

Referenced by:

§33.22(iv).

Encodings:

BibTeX

…

26: Bibliography E

… ►

Angular Momentum in Quantum Mechanics. 3rd printing, with corrections, 2nd edition, Princeton University Press, Princeton, NJ.

ⓘ

Notes:

Reprinted in 1996.

External Links:

ISBN 0-691-02589-4, MathReview, ZentralBlatt

Referenced by:

§14.30(i), §14.30(ii), §14.30(iii), §14.30(iv), §14.30(iv), §14.31(iii), (34.1.1), §34.1, §34.1, §34.13, §34.2, §34.3(i), §34.3(i), §34.3(ii), §34.3(iii), §34.3(iv), §34.3(vii), §34.3(vii), §34.4, §34.5(i), §34.5(ii), §34.5(iii), §34.5(iv), §34.5(vi), §34.6, §34.7(i), §34.7(ii), §34.7(iv), §34.7(vi), Ch.34, Erratum (V1.0.14) for Section 34.1, Erratum (V1.0.15) for Section 34.1.

Encodings:

BibTeX

… ►

Painlevé transcendent describes quantum correlation function of the $XXZ$ antiferromagnet away from the free-fermion point. J. Phys. A 29 (17), pp. 5619–5626.

ⓘ

External Links:

ISSN 0305-4470, Document, MathReview (Estelle L. Basor), ZentralBlatt

Referenced by:

§32.16.

Encodings:

BibTeX

…

27: Bibliography W

… ►

Lectures on Quantum Mechanics. Cambridge University Press, Cambridge, UK.

ⓘ

External Links:

ISBN 978-1-107-02872-2

Referenced by:

§18.39(ii).

Encodings:

BibTeX

… ►

Group Theory and its Application to the Quantum Mechanics of Atomic Spectra. Pure and Applied Physics. Vol. 5, Academic Press, New York.

ⓘ

Notes:

Expanded and improved ed. Translated from the German by J. J. Griffin.

External Links:

ISBN 0-12-750550-4, MathReview (A. S. Wightman), ZentralBlatt

Referenced by:

§34.12.

Encodings:

BibTeX

… ►

Elliptic genera and quantum field theory. Comm. Math. Phys. 109 (4), pp. 525–536.

ⓘ

External Links:

ISSN 0010-3616, Document, MathReview (J. Stasheff), ZentralBlatt

Referenced by:

1st item.

Encodings:

BibTeX

…

28: Bibliography L

… ►

Quantum Mechanics: Non-relativistic Theory. Pergamon Press Ltd., Oxford.

ⓘ

Notes:

Revised second edition. Course of Theoretical Physics, Vol. 3. Translated from the Russian by J. B. Sykes and J. S. Bell

External Links:

MathReview, ZentralBlatt

Referenced by:

§9.16.

Encodings:

BibTeX

►

Fluid Mechanics. 2nd edition, Pergamon Press, London.

ⓘ

Notes:

Course of Theoretical Physics, Vol. 6. Translated from the Russian by J. B. Sykes and W. H. Reid

External Links:

ISBN 0-7506-2767-0;0-08-033932-8, MathReview, ZentralBlatt

Referenced by:

§9.16.

Encodings:

BibTeX

… ►

Solutions to a generalized spheroidal wave equation: Teukolsky’s equations in general relativity, and the two-center problem in molecular quantum mechanics. J. Math. Phys. 27 (5), pp. 1238–1265.

ⓘ

External Links:

ISSN 0022-2488, Document, MathReview (Basilis C. Xanthopoulos), ZentralBlatt

Referenced by:

§30.12, §31.17(ii).

Encodings:

BibTeX

… ►

Kinetic Theory: Classical, Quantum, and Relativistic Descriptions. third edition, Springer, New York.

ⓘ

External Links:

ISBN 0387955518

Referenced by:

§18.39(iii).

Encodings:

BibTeX

… ►

An Introduction to Fourier Analysis and Generalised Functions. Cambridge Monographs on Mechanics and Applied Mathematics, Cambridge University Press, New York.

ⓘ

External Links:

ISBN 0521091284, MathReview (G. Temple), ZentralBlatt

Referenced by:

§1.16(ix), §1.16(v).

Encodings:

BibTeX

…

29: Bibliography B

… ►

Moment equations for probability distributions in classical and quantum mechanics. Phys. Rev. A 58 (3), pp. 1799–1809.

ⓘ

External Links:

Document

Referenced by:

§24.18.

Encodings:

BibTeX

… ►

Exactly Solved Models in Statistical Mechanics. Academic Press Inc., London-New York.

ⓘ

Notes:

Reprinted in 1989.

External Links:

ISBN 0-12-083180-5, MathReview (J. Groeneveld), ZentralBlatt

Referenced by:

§17.17, §20.12(ii), §22.18(iii), 2nd item, §26.20.

Encodings:

BibTeX

… ►

Quantum mechanics of one- and two-electron atoms. Springer-Verlag, Berlin.

ⓘ

External Links:

MathReview (L. Van Hove), ZentralBlatt

Referenced by:

§18.39(ii), §18.39(ii).

Encodings:

BibTeX

►

Quantum Mechanics of One- and Two-electron Atoms. Rosetta edition, Plenum Publishing Corp., New York.

ⓘ

Notes:

Reprint (with corrections) of the original edition published in 1957 by Springer and Academic Press

External Links:

MathReview, ZentralBlatt (D. Geissler)

Referenced by:

§1.18(viii), §33.22(ii), §33.22(ii), §33.22(v).

Encodings:

BibTeX

… ►

Angular Momentum in Quantum Physics: Theory and Application. Encyclopedia of Mathematics and its Applications, Vol. 8, Addison-Wesley Publishing Co., Reading, M.A..

ⓘ

External Links:

ISBN 0-201-13507-8, MathReview (Kurt Bernardo Wolf), ZentralBlatt

Referenced by:

§34.14.

Encodings:

BibTeX

…

30: 18.38 Mathematical Applications

… ►

Supersymmetric Quantum Mechanics (SUSY)

… ►

EOP’s, Painlevé Transcendents, and Quantum Mechanics

►EOP’s are the subject of recent work on rational solutions to the fourth Painlevé equation, see Clarkson (2003a) and Marquette and Quesne (2016),where use of Hermite EOP’s makes a connection to quantum mechanics. …