quantum gravity

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1: 32.16 Physical Applications

… ►For the Ising model see Barouch et al. (1973), Wu et al. (1976), and McCoy et al. (1977). ►For applications in 2D quantum gravity and related aspects of the enumerative topology see Di Francesco et al. (1995). …

2: Bibliography F

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Discrete Painlevé equations and their appearance in quantum gravity. Comm. Math. Phys. 142 (2), pp. 313–344.

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External Links:

ISSN 0010-3616, Link, MathReview (Nikolai A. Kostov), ZentralBlatt

Referenced by:

§32.15.

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3: 18.39 Applications in the Physical Sciences

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Table 18.39.1: Typical Non-Classical Weight Functions Of Use In DVR Applications^a

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Name of OP System	$w(x)$	$[a,b]$	Notation	Applications
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Quartic Freud	$\exp \left(-x^4/4-z{x}^2\right)$	$(-\mathrm{\infty },\mathrm{\infty })$	$p_n(x)$	§32.15 and application refs. therein: Quantum Gravity and Graph Theory Combinatorics
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4: Bibliography C

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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:

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5: Bibliography D

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The constrained quantum mechanical harmonic oscillator. Proc. Cambridge Philos. Soc. 62, pp. 277–286.

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External Links:

Document, MathReview (T. Erber)

Referenced by:

§12.11(i), §12.11(i), §12.17.

Encodings:

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Quantum Fields and Strings: A Course for Mathematicians. Vol. 1, 2. American Mathematical Society, Providence, RI.

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Notes:

Material from the Special Year on Quantum Field Theory held at the Institute for Advanced Study, Princeton, NJ, 1996–1997

External Links:

ISBN 0-8218-1198-3, MathReview, ZentralBlatt

Referenced by:

§21.9.

Encodings:

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$2$D gravity and random matrices. Phys. Rep. 254 (1-2), pp. 1–133.

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External Links:

ISSN 0370-1573, Document, MathReview (Yolanda Lozano)

Referenced by:

§32.16.

Encodings:

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6: 22.19 Physical Applications

… ►With the same initial conditions, if the sign of gravity is reversed then the new period is $4K^{\prime }\left(\sin \left(\frac{1}{2}\alpha \right)\right)$; see Whittaker (1964, §44). … ►plays a prototypal role in classical mechanics (Lawden (1989, §5.2)), quantum mechanics (Schulman (1981, Chapter 29)), and quantum field theory (Pokorski (1987, p. 203), Parisi (1988, §14.6)). … ►Such solutions include standing or stationary waves, periodic cnoidal waves, and single and multi-solitons occurring in diverse physical situations such as water waves, optical pulses, quantum fluids, and electrical impulses (Hasegawa (1989), Carr et al. (2000), Kivshar and Luther-Davies (1998), and Boyd (1998, Appendix D2.2)). …