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math-phFeb 1, 2018
4
citations (OpenAlex)
authors
  • Nicolai Reshetikhin
institutions
  • Aarhus University
  • St Petersburg University
  • University of Amsterdam
  • University of California, Berkeley
arXiv abstractPDF
paper

Semiclassical geometry of integrable systems

arXiv:1802.00416 · doi:10.1088/1751-8121/aaaea6

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.

arXiv comment23 pages, 5 figures

References in corpus (9)

  • Classical 6j-symbols and the tetrahedron
  • Large N Duality, Mirror Symmetry, and a Q-deformed A-polynomial for Knots
  • Semiclassical Mechanics of the Wigner 6j-Symbol
  • Continuous tensor categories from quantum groups I: algebraic aspects
  • 6j symbols for U_q(sl_2) and non-Euclidean tetrahedra
  • Spherical Tetrahedra and Invariants of 3-manifolds
  • Asymptotics of quantum 6j symbols
  • Localization for the norm-square of the moment map and the two-dimensional Yang-Mills integral
  • Spectral limits of semiclassical commuting self-adjoint operators

Cited by in corpus (2)

  • Constrained systems, generalized Hamilton-Jacobi actions, and quantization
  • Quantum Integrability and Quantum Groups: a special issue in memory of Petr P. Kulish
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