q-deformed quantum mechanical

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41: 20.12 Mathematical Applications

… ►This ability to uniformize multiply-connected spaces (manifolds), or multi-sheeted functions of a complex variable (Riemann (1899), Rauch and Lebowitz (1973), Siegel (1988)) has led to applications in string theory (Green et al. (1988a, b), Krichever and Novikov (1989)), and also in statistical mechanics (Baxter (1982)).

42: Bibliography

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J. V. Armitage (1989) The Riemann Hypothesis and the Hamiltonian of a Quantum Mechanical System. In Number Theory and Dynamical Systems (York, 1987), M. M. Dodson and J. A. G. Vickers (Eds.), London Math. Soc. Lecture Note Ser., Vol. 134, pp. 153–172.

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External Links:: MathReview, ZentralBlatt
Referenced by:: §25.17.
Encodings:: BibTeX

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V. I. Arnol^′d (1997) Mathematical Methods of Classical Mechanics. Graduate Texts in Mathematics, Vol. 60, Springer-Verlag, New York.

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Notes:: Translated from the 1974 Russian original by K. Vogtmann and A. Weinstein, Corrected reprint of the second (1989) edition
External Links:: ISBN 0-387-96890-3, MathReview
Referenced by:: §21.5(i).
Encodings:: BibTeX

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43: David M. Bressoud

… ► 227, in 1980, Factorization and Primality Testing, published by Springer-Verlag in 1989, Second Year Calculus from Celestial Mechanics to Special Relativity, published by Springer-Verlag in 1992, A Radical Approach to Real Analysis, published by the Mathematical Association of America in 1994, with a second edition in 2007, Proofs and Confirmations: The Story of the Alternating Sign Matrix Conjecture, published by the Mathematical Association of America and Cambridge University Press in 1999, A Course in Computational Number Theory (with S. …

44: Bruce R. Miller

… ►There, he carried out research in non-linear dynamics and celestial mechanics, developing a specialized computer algebra system for high-order Lie transformations. …

45: Ranjan Roy

… ►Roy has published many papers on differential equations, fluid mechanics, special functions, Fuchsian groups, and the history of mathematics. …

46: Bibliography C

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F. Cooper, A. Khare, and U. Sukhatme (1995) Supersymmetry and quantum mechanics. Phys. Rep. 251, pp. 267–385.

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Referenced by:: §18.38(iii).
Encodings:: BibTeX

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J. Crisóstomo, S. Lepe, and J. Saavedra (2004) Quasinormal modes of the extremal BTZ black hole. Classical Quantum Gravity 21 (12), pp. 2801–2809.

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External Links:: ISSN 0264-9381, MathReview (Donato Bini), ZentralBlatt
Referenced by:: §13.28(iii).
Encodings:: BibTeX

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H. L. Cycon, R. G. Froese, W. Krisch, and B. Simon (2008) Schrödinger Operators, with Applications to Quantum Mechanics and Global Geometry. Springer Verlag, New York.

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External Links:: ISBN 978-3-540-16758-7
Referenced by:: §1.18(vii), §1.18(x).
Encodings:: BibTeX

47: Leonard C. Maximon

… ►Maximon published numerous papers on the fundamental processes of quantum electrodynamics and on the special functions of mathematical physics. …

48: Mark J. Ablowitz

… ►He has a BS from the University of Rochester in Mechanical Engineering and a Ph. …

49: Mourad E. H. Ismail

… ►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). …

50: 34.2 Definition: $\mathit{3j}$ Symbol

… ►The corresponding projective quantum numbers

m_{1},m_{2},m_{3}

are given by … ►

See accompanying text — Figure 34.2.1: Angular momenta $j_{r}$ and projective quantum numbers $m_{r}$ , $r=1,2,3$ . Magnify

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