Remarks on quantum vortex theory on Riemann surfaces

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• 作者：Penna ; Vittorio ; Spera ; Mauro
• 关键词：Strings ; 14H55 ; 14C40 ; 81S10 ; 81R30 ; 82D50 ; Quantum vortex theory ; Riemann surfaces
• 刊名：Journal of Geometry and Physics
• 出版年：1998
• 期刊代码：29_03930440
• 类别：ph
• 出版时间：August, 1998
• 卷：27
• 期：1-2
• 页码：99-112
• 文件大小：662 K

摘要

Quantized point vortex theories on a compact Riemann surface of arbitrary genus (in the zero total vorticity case) are investigated. By taking meromorphic functions thereon as order parameters and resorting to the Weil-Kostant, Abel, Riemann and Riemann-Roch theorems, a natural phase space and Hamiltonian for the vortex-antivortex configurations is exhibited, leading to explicit vortex-antivortex coherent states wave functions via geometric quantization.