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Moyal Quantization, Holography and the QuantumGeometry of Surfaces

✍ Scribed by George Chapline; Alex Granik

Publisher: Elsevier Science
Year: 1999
Tongue: English
Weight: 255 KB
Volume: 10
Category: Article
ISSN: 0960-0779
DOI: 10.1016/s0960-0779(98)00201-x

No coin nor oath required. For personal study only.

✦ Synopsis

An elementary introduction is provided to the phase space quantization method of Moyal and Wigner[ We generalize the method so that it applies to 1!dimensional surfaces\ where it has an interesting connection with quantum holography[ In the case of Riemann surfaces the connection between Moyal quantization and holography provides new insights into the Torelli theorem and the quantization of non! linear integrable models[ Quantum holography may also serve as a model for a quantum theory of membranes[ Þ 0887 Elsevier Science Ltd[ All rights reserved[ Author for correspondence] e!mail] chapline0Ýllnl[gov[

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