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chao-dyn1995★ 55 cited
The Role of Diffraction in the Quantization of Dispersing Billiards
Harel Primack, Holger Schanz, Uzy Smilansky +1
We study diffraction corrections to the semiclassical spectral density of dispersing (Sinai) billiards. They modify the contributions of periodic orbits (PO's), with at least one s…
chao-dyn1995★ 57 cited
Semiclassical Quantization of Billiards with Mixed Boundary Conditions
Martin Sieber, Harel Primack, Uzy Smilansky +2
The semiclassical theory for billiards with mixed boundary conditions is developed and explicit expressions for the smooth and the oscillatory parts of the spectral density are der…