Quantization of classical curves

Xiaojun Liu; Albert Schwarz

Quantization of classical curves

High Energy Physics - Theory 2014-08-19 v2 Mathematical Physics Algebraic Geometry math.MP Quantum Algebra

Authors: Xiaojun Liu , Albert Schwarz

Abstract

We discuss the relation between quantum curves (defined as solutions of equation $[P,Q]=\hbar$ , where $P,Q$ are ordinary differential operators) and classical curves. We illustrate this relation for the case of quantum curve that corresponds to the $(p,q)$ -minimal model coupled to 2D gravity.

Keywords

quantum classical transition quantum algebra

Cite

@article{arxiv.1403.1000,
  title  = {Quantization of classical curves},
  author = {Xiaojun Liu and Albert Schwarz},
  journal= {arXiv preprint arXiv:1403.1000},
  year   = {2014}
}

Comments

10 pages, made some changes to the introduction part of previous submission

Quantization of classical curves

Abstract

Keywords

Cite

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