Quantization of the Three-Dimensional Sinai Billiard
- 12 June 1995
- journal article
- research article
- Published by American Physical Society (APS) in Physical Review Letters
- Vol. 74 (24) , 4831-4834
- https://doi.org/10.1103/physrevlett.74.4831
Abstract
For the first time a three-dimensional (3D) chaotic billiard—the 3D Sinai billiard—was quantized, and high-precision spectra with thousands of eigenvalues were calculated. We present here a semiclassical and statistical analysis of the spectra, and point out some of the features which are genuine consequences of the three dimensionality of this chaotic billiard.Keywords
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This publication has 13 references indexed in Scilit:
- On the calculation of the energy of a Bloch wave in a metalPublished by Elsevier ,2004
- Semiclassical accuracy for billiardsNonlinearity, 1994
- ℏ expansion for the periodic orbit quantization of chaotic systemsChaos: An Interdisciplinary Journal of Nonlinear Science, 1993
- ħ expansion for the periodic-orbit quantization of hyperbolic systemsPhysical Review A, 1993
- Chaos in Classical and Quantum MechanicsPublished by Springer Nature ,1990
- Quantizing a classically ergodic system: Sinai's billiard and the KKR methodAnnals of Physics, 1981
- Energy Bands in Periodic Lattices—Green's Function MethodPhysical Review B, 1961
- Solution of the Schrödinger Equation in Periodic Lattices with an Application to Metallic LithiumPhysical Review B, 1954
- A Method for Obtaining Electronic Eigenfunctions and Eigenvalues in Solids with An Application to SodiumPhysical Review B, 1947
- Die Berechnung optischer und elektrostatischer GitterpotentialeAnnalen der Physik, 1921