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chao-dyn1995
Semiclassical Quantisation Using Diffractive Orbits
Niall D. Whelan
Diffraction, in the context of semiclassical mechanics, describes the manner in which quantum mechanics smooths over discontinuities in the classical mechanics. An important exampl…
chao-dyn1995
Edge Diffraction, Trace Formulae and the Cardioid Billiard
Henrik Bruus, Niall D. Whelan
We study the effect of edge diffraction on the semiclassical analysis of two dimensional quantum systems by deriving a trace formula which incorporates paths hitting any number of…
chao-dyn1995
Weyl Expansion for Symmetric Potentials
B. Lauritzen, N. D. Whelan
We present a semiclassical expansion of the smooth part of the density of states in potentials with some form of symmetry. The density of states of each irreducible representation…