scholarly journals A locally integrable multi-dimensional billiard system

2017 ◽  
Vol 37 (10) ◽  
pp. 5271-5284 ◽  
Author(s):  
Dmitry Treschev ◽  
Keyword(s):  
Billiard System

Survey of the eigenfunctions of a billiard system between integrability and chaos

1993 ◽  
Vol 26 (20) ◽  
pp. 5365-5373 ◽  
Author(s):  
T Prosen ◽  
M Robnik
Keyword(s):  
Billiard System

scholarly journals Spectral statistics in an open parametric billiard system

2006 ◽  
Vol 73 (3) ◽  
Author(s):  
B. Dietz ◽  
A. Heine ◽  
A. Richter ◽  
O. Bohigas ◽  
P. Leboeuf
Keyword(s):  
Billiard System ◽  
Spectral Statistics

Reservoir Computing Based on Dynamics of Pseudo-Billiard System in Hypercube

2019 ◽  
Author(s):  
Yuichi Katori ◽  
Hakaru Tamukoh ◽  
Takashi Morie
Keyword(s):  
Reservoir Computing ◽  
Billiard System

Stagnant Motion in Chaotic Region of Mushroom Billiard System with Dielectric Medium

2012 ◽  
Vol 81 (6) ◽  
pp. 064004 ◽  
Author(s):  
Satoru Tsugawa ◽  
Yoji Aizawa
Keyword(s):  
Dielectric Medium ◽  
Chaotic Region ◽  
Billiard System

scholarly journals Exact Green function of Aharonov-Bohm billiard system

2001 ◽  
Vol 34 (12) ◽  
pp. 2561-2569 ◽  
Author(s):  
Der-San Chuu ◽  
De-Hone Lin
Keyword(s):  
Green Function ◽  
Billiard System ◽  
Aharonov Bohm

Quantum fidelity and dynamical scar states on chaotic billiard system

2011 ◽  
Vol 182 (1) ◽  
pp. 245-248 ◽  
Author(s):  
Mitsuyoshi Tomiya ◽  
Hiroyoshi Tsuyuki ◽  
Shoichi Sakamoto
Keyword(s):  
Billiard System ◽  
Quantum Fidelity

Angular and spatial color mixing using mixing rods with the geometry of a chaotic-dispersive billiard system

2016 ◽  
Vol 5 (2) ◽  
Author(s):  
Theresa S. Bonenberger ◽  
Jörg Baumgart ◽  
Cornelius Neumann
Keyword(s):  
Cross Section ◽  
High Efficiency ◽  
Mixing Properties ◽  
Billiard System ◽  
The Cross ◽  
Color Mixing ◽  
Different Color ◽  
Dispersive Mixing ◽  
Optical Color

AbstractFor mixing light from different colored LEDs, an optical color mixing system is required to avoid colored shadows and color fringes. Concerning the different color mixing systems, mixing rods are widespread as they provide very good spatial color mixing with high efficiency. The essential disadvantage of mixing rods, so far, is the lack of angular color mixing. The solution presented in this publication is the application of a chaotic-dispersive billiard’s geometry on the cross section of the mixing rod. To show both the spatial and the angular mixing properties of a square and a chaotic-dispersive mixing rod, simulations generated by the raytracing software ASAP are provided. All results are validated with prototype measurements.

scholarly journals Statistical Properties of Periodic Orbits in a 4-Disk Billiard System

2006 ◽  
Vol 116 (2) ◽  
pp. 247-271
Author(s):  
Takeshi Asamizuya
Keyword(s):  
Periodic Orbits ◽  
Statistical Properties ◽  
Billiard System

PERIODIC ORBIT THEORY ANALYSIS OF A FAMILY OF DEFORMED HEMISPHERICAL BILLIARD SYSTEMS

2000 ◽  
Vol 07 (01n02) ◽  
pp. 151-160
Author(s):  
R. W. ROBINETT
Keyword(s):  
Periodic Orbit ◽  
Energy Eigenvalue ◽  
Three Dimensional ◽  
Polar Angle ◽  
Theory Analysis ◽  
Periodic Orbit Theory ◽  
Billiard System ◽  
Closed Orbits ◽  
Orbit Theory ◽  
Special Case

We present a periodic orbit theory analysis of a novel three-dimensional billiard system, namely a quasispherical cavity with infinite walls along the conical boundary defined by θ=Θ, where θ is the standard polar angle; for Θ=π/2 this reduces to the special case of a hemispherical infinite well, while for Θ=π it is a spherical well with points along the negative z axis excluded. We focus especially on the connections between subsets of the energy eigenvalue space and their contributions to qualitatively different classes of closed orbits.

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