The polygon quantum-billiard problem
DOI10.1063/1.530874zbMath0804.58024OpenAlexW2053364941MaRDI QIDQ4298579
Publication date: 8 August 1994
Published in: Journal of Mathematical Physics (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1063/1.530874
Completely integrable infinite-dimensional Hamiltonian and Lagrangian systems, integration methods, integrability tests, integrable hierarchies (KdV, KP, Toda, etc.) (37K10) Closed and approximate solutions to the Schrödinger, Dirac, Klein-Gordon and other equations of quantum mechanics (81Q05) Completely integrable finite-dimensional Hamiltonian systems, integration methods, integrability tests (37J35) Applications of dynamical systems (37N99)
Related Items (4)
Cites Work
- Asymptotic solution of eigenvalue problems
- A ``transversal fundamental theorem for semi-dispersing billiards
- Pseudointegrable systems in classical and quantum mechanics
- Analytically solvable dynamical systems which are not integrable
- Principles for the design of billiards with nonvanishing Lyapunov exponents
- Ergodicity of billiard flows and quadratic differentials
- Topological transitivity of billiards in polygons
- On two conjectures in the fixed membrane eigenvalue problem
- Potentials on the two-torus for which the Hamiltonian flow is ergodic
- Schrödinger equation for convex plane polygons. II. A no-go theorem for plane waves representation of solutions
- Diabolical points in the spectra of triangles
- Some geometrical models of chaotic dynamics
- The Eigenvalues of an Equilateral Triangle
- The scope of the image method
- Billiards in polygons
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