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Energy Eigenvalues and Periodic Orbits for the Circular Disk or Annular Infinite Well

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  • R. W. Robinett

    (Department of Physics, The Pennsylvania State University, University Park, PA 16802, USA)

Abstract

We compute the Fourier transform[ρ(L)]of the quantum-mechanical energy level density for the problem of a particle in an annular infinite well (or circular disk) of outer (inner) radiusRmax=RRmin=fR. For various values off=Rmin/Rwe then explicitly compareρ(L)to the lengths of the classical periodic orbits. We also comment on the diffraction peak seen by Reimannet al.in this system, noting that at least one recurrence of that feature is present in the spectrum, and discussing the corresponding effective path lengths for these features.

Suggested Citation

  • R. W. Robinett, 1998. "Energy Eigenvalues and Periodic Orbits for the Circular Disk or Annular Infinite Well," Surface Review and Letters (SRL), World Scientific Publishing Co. Pte. Ltd., vol. 5(02), pages 519-526.
    • Handle: RePEc:wsi:srlxxx:v:05:y:1998:i:02:n:s0218625x9800089x
    DOI: 10.1142/S0218625X9800089X
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