Semiclassical approximation for barrier billiards
Abstract
Barrier billiards are simple examples of pseudo-integrable models which form an appealing but poorly investigated subclass of dynamical systems. The paper examines the semiclassical limit of the exact quantum transfer operator for barrier billiards constructed in Bogomolny, J. Phys. A: Math. Theor. 55, 024001 (2022). The obtained asymptotic expressions are used to provide analytical arguments to support the conjecture that spectral statistical properties of barrier billiards are described by the semi-Poisson distribution and to derive the trace formulas for such billiards which in the transfer operator approach is not automatic.
Fields of Study & Subjects
Quantum chaos and dynamical systems
stochastic dynamics and bifurcation
Chaos control and synchronization
Publication details
- Journal / source
- Journal of Mathematical Physics
- Volume
- 67
- Issue
- 9
- Publication date
- 1 September 2026
- Language
- EN