Remarks on singular symplectic reduction and quantization of the angular moment

V. P. Palamodov

doi:10.1007/978-3-0348-0448-6_7

Remarks on singular symplectic reduction and quantization of the angular moment

V. P. Palamodov^*

^*Corresponding author for this work

School of Mathematical Sciences

Research output: Chapter in Book/Report/Conference proceeding › Conference contribution › peer-review

Abstract

A direct algebraic method of symplectic reduction is demonstrated for some singular problems. The problem of quantization of singular surfaces is discussed.

Original language	English
Title of host publication	Geometric Methods in Physics
Editors	Piotr Kielanowski, S. Twareque Ali, Anatol Odzijewicz, Martin Schlichenmaier, Theodore Voronov
Publisher	Springer International Publishing
Pages	81-89
Number of pages	9
ISBN (Print)	9783034804479
DOIs	https://doi.org/10.1007/978-3-0348-0448-6_7
State	Published - 2013
Event	30th Workshop on Geometric Methods in Physics, 2011 - Bialowieza, Poland Duration: 26 Jun 2011 → 2 Jul 2011

Publication series

Name	Trends in Mathematics
Volume	59
ISSN (Print)	2297-0215
ISSN (Electronic)	2297-024X

Conference

Conference	30th Workshop on Geometric Methods in Physics, 2011
Country/Territory	Poland
City	Bialowieza
Period	26/06/11 → 2/07/11

Keywords

Invariant polynomials
Moment map
Singular reduction
Star product on singular surface

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10.1007/978-3-0348-0448-6_7

Cite this

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title = "Remarks on singular symplectic reduction and quantization of the angular moment",

abstract = "A direct algebraic method of symplectic reduction is demonstrated for some singular problems. The problem of quantization of singular surfaces is discussed.",

keywords = "Invariant polynomials, Moment map, Singular reduction, Star product on singular surface",

author = "Palamodov, {V. P.}",

note = "Publisher Copyright: {\textcopyright} 2013 Springer Basel.; 30th Workshop on Geometric Methods in Physics, 2011 ; Conference date: 26-06-2011 Through 02-07-2011",

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doi = "10.1007/978-3-0348-0448-6_7",

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Palamodov, VP 2013, Remarks on singular symplectic reduction and quantization of the angular moment. in P Kielanowski, ST Ali, A Odzijewicz, M Schlichenmaier & T Voronov (eds), Geometric Methods in Physics. Trends in Mathematics, vol. 59, Springer International Publishing, pp. 81-89, 30th Workshop on Geometric Methods in Physics, 2011, Bialowieza, Poland, 26/06/11. https://doi.org/10.1007/978-3-0348-0448-6_7

Remarks on singular symplectic reduction and quantization of the angular moment. / Palamodov, V. P.
Geometric Methods in Physics. ed. / Piotr Kielanowski; S. Twareque Ali; Anatol Odzijewicz; Martin Schlichenmaier; Theodore Voronov. Springer International Publishing, 2013. p. 81-89 (Trends in Mathematics; Vol. 59).

Research output: Chapter in Book/Report/Conference proceeding › Conference contribution › peer-review

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Remarks on singular symplectic reduction and quantization of the angular moment

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Keywords

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