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Green's function semiclassical quantization of non-closed quasiperiodic classical trajectories
Authors:Ronnie Kosoff  Karl F. Freed
Affiliation:The Department Of Physical Chemistry, The Hebrew University, Jerusalem, Israel;The James Franck Institute, The University of Chicago, Chicago, Illinois 60637, USA;The James Franck Institute and Department of Chemistry, The University of Chicago, Chicago, Illinois 60637, USA
Abstract:A semiclassical quantization procedure is introduced within the Green's function formalism for non-closed quasiperiodic trajectories which have previously defied quantization with this formalism. The results are interpreted in terms of the uncertainty principle and lead to conjectures concerning the semiclassical quantization of ergodic trajectories.
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