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Closed orbits and spatial density oscillations in the circular billiard

Brack, Matthias and Roccia, J (2009) Closed orbits and spatial density oscillations in the circular billiard.

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Other URL: http://arxiv.org/abs/0905.0347


We present a case study for the semiclassical calculation of the oscillations in the particle and kinetic-energy densities for the two-dimensional circular billiard. For this system, we can give a complete classification of all closed periodic and non-periodic orbits. We discuss their bifurcations under variation of the starting point $r$ and derive analytical expressions for their properties ...


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Item type:Article
Institutions:Physics > Institute of Theroretical Physics > Alumni or Retired Professors > Group Matthias Brack
Dewey Decimal Classification:500 Science > 530 Physics
Refereed:Yes, this version has been refereed
Created at the University of Regensburg:Yes
Item ID:7979
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