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| Format: | Preprint |
| Published: |
2025
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| Online Access: | https://arxiv.org/abs/2504.18834 |
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| _version_ | 1866915261539418112 |
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| author | Bogomolny, Eugene |
| author_facet | Bogomolny, Eugene |
| contents | 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 [J. Phys. A: Math. Theor. \textbf{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. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2504_18834 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Semiclassical approximation for barrier billiards Bogomolny, Eugene Quantum Physics 81q50 81Q20 62P35 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 [J. Phys. A: Math. Theor. \textbf{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. |
| title | Semiclassical approximation for barrier billiards |
| topic | Quantum Physics 81q50 81Q20 62P35 |
| url | https://arxiv.org/abs/2504.18834 |