Quantising a generic family of billiards with analytic boundaries

DOI10.1088/0305-4470/17/5/027zbMath0553.58013OpenAlexW2009327831MaRDI QIDQ3346973

Marko Robnik

Publication date: 1984

Published in: Journal of Physics A: Mathematical and General (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1088/0305-4470/17/5/027

zbMATH Keywords

quantum chaosplane billiards

Mathematics Subject Classification ID

Dynamical aspects of finite-dimensional Hamiltonian and Lagrangian systems (37J99)

Related Items (14)

Relativistic quantum chaos ⋮ Nodal properties of the scaled quartic anharmonic oscillator ⋮ Classical and quantum elliptical billiards: mixed phase space and short-range correlations in singlets and doublets ⋮ Exact sum rules for quantum billiards of arbitrary shape ⋮ Competition between unlimited and limited energy growth in a two-dimensional time-dependent billiard ⋮ A Brief Introduction to Stationary Quantum Chaos in Generic Systems ⋮ Statistical problem of ideal gas in general two-dimensional regions ⋮ A model for the computation of quantum billiards with arbitrary shapes ⋮ Statistical measures for eigenfunctions of nonseparable quantum billiard systems ⋮ Maximum norms of chaotic quantum eigenstates and random waves ⋮ Ordered level spacing probability densities ⋮ The local geometry of chaotic billiards ⋮ Spectroscopy of drums and quantum billiards: Perturbative and nonperturbative results ⋮ Spectroscopy of annular drums and quantum rings: Perturbative and nonperturbative results

This page was built for publication: Quantising a generic family of billiards with analytic boundaries