Nodal structure of chaotic eigenfunctions

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Published 28 June 2002 Published under licence by IOP Publishing Ltd
, , Citation W E Bies and E J Heller 2002 J. Phys. A: Math. Gen. 35 5673 DOI 10.1088/0305-4470/35/27/309

0305-4470/35/27/5673

Abstract

We investigate the distribution of nodes at and beyond the classical turning point of idealized chaotic quantum eigenfunctions. A formula for the density of nodes is derived in the semiclassical limit, and the rate at which this density falls off as one moves into the forbidden region is also studied. The discussion is supported by numerical results. Corrections to the Bessel function correlation in the classically allowed region are necessary for finite ℏ and are given here.

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