Periodic orbit theory analysis of the circular disk or annular billiard: Nonclassical effects and the distribution of energy eigenvalues

1999 ◽  
Vol 67 (1) ◽  
pp. 67-77 ◽  
Author(s):  
R. W. Robinett
Keyword(s):  
Periodic Orbit ◽  
Circular Disk ◽  
Theory Analysis ◽  
Periodic Orbit Theory ◽  
Energy Eigenvalues ◽  
Orbit Theory

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.

scholarly journals Periodic orbit theory of strongly anomalous transport

2003 ◽  
Vol 37 (1) ◽  
pp. 85-103 ◽  
Author(s):  
Roberto Artuso ◽  
Giampaolo Cristadoro
Keyword(s):  
Periodic Orbit ◽  
Anomalous Transport ◽  
Periodic Orbit Theory ◽  
Orbit Theory
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