Quantization on a Lie group: Higher-order Polarizations

V. Aldaya; J. Guerrero; G. Marmo

Quantization on a Lie group: Higher-order Polarizations

数学物理 2008-11-06 v1 高能物理 - 理论 math.MP

作者: V. Aldaya , J. Guerrero , G. Marmo

摘要

Contents * Introduction -- Why $S^1$ -extended phase space? -- Why central extensions of classical symmetries? * Central extension \Gt of a group $G$ -- Group cohomology -- Cohomology and contractions: Pseudo-cohomology -- Principal bundle with connection $(\Gtm,\Theta)$ * Group Approach to Quantization -- $U(1)$ -quantization -- Non-horizontal polarizations * Simple examples -- The abelian group $R^{k}$ -- The semisimple group $SU(2)$ * Algebraic anomalies -- Higher-order polarizations -- The Schr\"odinger group and Quantum Optics -- The Virasoro group and String Theory

关键词

quantum algebra lie algebras and representations canonical quantization

引用

@article{arxiv.physics/9710002,
  title  = {Quantization on a Lie group: Higher-order Polarizations},
  author = {V. Aldaya and J. Guerrero and G. Marmo},
  journal= {arXiv preprint arXiv:physics/9710002},
  year   = {2008}
}

备注

52 pages, latex, no figures. Contribution to "Symmetries in Science X", held in Bregenz (Austria), 13-18 July 1997. To appear in the proceedings

Quantization on a Lie group: Higher-order Polarizations

摘要

关键词

引用

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