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Semiclassical geometry of integrable systems

Mathematical Physics 2018-04-18 v1 High Energy Physics - Theory math.MP Representation Theory

Abstract

The main result of this paper is a formula for the scalar product of semiclassical eigenvectors of two integrable systems on the same symplectic manifold. An important application of this formula is the Ponzano-Regge type of asymptotic of Racah-Wigner coefficients.

Keywords

Cite

@article{arxiv.1802.00416,
  title  = {Semiclassical geometry of integrable systems},
  author = {Nicolai Reshetikhin},
  journal= {arXiv preprint arXiv:1802.00416},
  year   = {2018}
}

Comments

23 pages, 5 figures

R2 v1 2026-06-23T00:07:54.972Z