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Article Dans Une Revue EPL - Europhysics Letters Année : 2014

Maslov indices, Poisson brackets, and singular differential forms

Ilya Esterlis
  • Fonction : Auteur
Austin Hedeman
  • Fonction : Auteur
Robert G. Littlejohn
  • Fonction : Auteur

Résumé

Maslov indices are integers that appear in semiclassical wave functions and quantization conditions. They are often notoriously difficult to compute. We present methods of computing the Maslov index that rely only on typically elementary Poisson brackets and simple linear algebra. We also present a singular differential form, whose integral along a curve gives the Maslov index of that curve. The form is closed but not exact, and transforms by an exact differential under canonical transformations. We illustrate the method with the $6j$-symbol, which is important in angular momentum theory and in quantum gravity.

Dates et versions

hal-01009724 , version 1 (18-06-2014)

Identifiants

Citer

Ilya Esterlis, Hal M. Haggard, Austin Hedeman, Robert G. Littlejohn. Maslov indices, Poisson brackets, and singular differential forms. EPL - Europhysics Letters, 2014, 106, pp.50002. ⟨10.1209/0295-5075/106/50002⟩. ⟨hal-01009724⟩
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