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Using time-independent scattering matrices, we study how the effects ofnonclassical paths on the recurrence spectra of diamagnetic atoms can beextracted from purely quantal calculations. This study reveals an intimaterelationship between two types of nonclassical paths: exotic ghost orbits anddiffractive orbits. This relationship proves to be a previously unrecognizedreason for the success of semiclassical theories, like closed-orbit theory, andpermits a comprehensive reformulation of the semiclassical theory thatelucidates its convergence properties.Comment: 5 pages, 4 figure

Nonclassical Paths in the Recurrence Spectrum of Diamagnetic Atoms