quantum spins

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1: 32.16 Physical Applications

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Statistical Physics

►Statistical physics, especially classical and quantum spin models, has proved to be a major area for research problems in the modern theory of Painlevé transcendents. …

2: 31.17 Physical Applications

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§31.17(i) Addition of Three Quantum Spins

►The problem of adding three quantum spins $𝐬$, $𝐭$, and $𝐮$ can be solved by the method of separation of variables, and the solution is given in terms of a product of two Heun functions. …

3: 11.12 Physical Applications

… ►More recently Struve functions have appeared in many particle quantum dynamical studies of spin decoherence (Shao and Hänggi (1998)) and nanotubes (Pedersen (2003)). …

4: Bibliography S

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Quantum Chaos, Symmetry and Zeta Functions. Lecture I, Quantum Chaos. In Current Developments in Mathematics, 1997 (Cambridge, MA), R. Bott (Ed.), pp. 127–144.

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External Links:

MathReview (Shin-ya Koyama), ZentralBlatt

Referenced by:

§25.17.

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

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External Links:

Document, MathReview (J.-L. Calais)

Referenced by:

§34.13, §34.3(iii).

Encodings:

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

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External Links:

Document, MathReview (J.-L. Calais)

Referenced by:

§34.8.

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Quantum defect theory. Rep. Prog. Phys. 46 (2), pp. 167–257.

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External Links:

Document

Referenced by:

§33.14(i), §33.22(ii).

Encodings:

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

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External Links:

Document

Referenced by:

§11.12.

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5: Bibliography

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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:

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Matching higher conserved charges for strings and spins. J. High Energy Phys. 2004 (3).

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Notes:

(electronic only, article id. JHEP03(2004)004, 32 pp.).

External Links:

ISSN 1126-6708, Document, MathReview

Referenced by:

§19.35(ii).

Encodings:

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Spinning Tops: A Course on Integrable Systems. Cambridge Studies in Advanced Mathematics, Vol. 51, Cambridge University Press, Cambridge.

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External Links:

ISBN 0-521-56129-9; 0-521-77919-7, MathReview (Emma Previato), ZentralBlatt

Referenced by:

§22.19(iv).

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