Replacement manifolds: a method to uniformize semiclassical wave functions

Details Replacement manifolds: a method to uniformize semiclassical wave functions Replacement manifolds: a method to uniformize semiclassical wave functions

Apr 2002

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=2002aps..aprb17012v&link_type=abstract

American Physical Society, April Meeting, Jointly Sponsored with the High Energy Astrophysics Division (HEAD) of the American As

Astronomy and Astrophysics

Astrophysics

Scientific paper

We present a new semiclassical technique which relies on replacing complicated classical manifold structure with simpler manifolds, which are then evaluated by the usual semiclassical rules. Under circumstances where the original manifold structure gives poor or useless results semiclassically the replacement manifolds can yield remarkable accuracy. We show how the method can be used to uniformize cusp singularities in a model of a 2D electron flow if complex replacement manifolds are taken into account.

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