ENERGY EIGENVALUES AND PERIODIC-ORBITS FOR THE CIRCULAR DISK OR ANNULAR INFINITE WELL

Authors
Citation
Rw. Robinett, ENERGY EIGENVALUES AND PERIODIC-ORBITS FOR THE CIRCULAR DISK OR ANNULAR INFINITE WELL, Surface review and letters, 5(2), 1998, pp. 519-526
Citations number
28
Categorie Soggetti
Physics, Condensed Matter","Physics, Atomic, Molecular & Chemical","Material Science
Journal title
ISSN journal
0218625X
Volume
5
Issue
2
Year of publication
1998
Pages
519 - 526
Database
ISI
SICI code
0218-625X(1998)5:2<519:EEAPFT>2.0.ZU;2-V
Abstract
We compute the Fourier transform [rho(L)] of the quantum-mechanical en ergy level density for the problem of a particle in an annular infinit e well (or circular disk) of outer (inner) radius R-max = R (R-min = f R). For various values of f = R-min/R we then explicitly compare rho(L ) to the lengths of the classical periodic orbits. We also comment on the diffraction peak seen by Reimann et al. in this system, noting tha t at least one recurrence of that feature is present in the spectrum, and discussing the corresponding effective path lengths for these feat ures.