Quantum monodromy in prolate ellipsoidal billiards

DOI10.1006/aphy.2001.6196zbMath1001.37042OpenAlexW2151669861MaRDI QIDQ1599568

Holger Waalkens, Holger R. Dullin

Publication date: 11 June 2002

Published in: Annals of Physics (Search for Journal in Brave)

Full work available at URL: https://pure.rug.nl/ws/files/3070844/2002AnnPhysWaalkens.pdf

zbMATH Keywords

monodromy matrixlocally smooth actionsquantum spectrum

Mathematics Subject Classification ID

Bifurcation problems for finite-dimensional Hamiltonian and Lagrangian systems (37J20) Quantum chaos (81Q50)

Related Items (11)

The problem of two fixed centers: bifurcations, actions, monodromy ⋮ Spectra of Sol-manifolds: Arithmetic and quantum monodromy ⋮ Uncovering fractional monodromy ⋮ Resonance of ellipsoidal billiard trajectories and extremal rational functions ⋮ Bifurcations of Liouville tori in elliptical billiards ⋮ Geodesic flow on three-dimensional ellipsoids with equal semi-axes ⋮ Geodesics on the ellipsoid and monodromy ⋮ Periodic ellipsoidal billiard trajectories and extremal polynomials ⋮ Classification of symmetric periodic trajectories in ellipsoidal billiards ⋮ Fractional monodromy of resonant classical and quantum oscillators ⋮ Fractional Hamiltonian monodromy from a Gauss–Manin monodromy

Cites Work

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