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

R. W. Robinett
Additional contact information
R. W. Robinett: Department of Physics, The Pennsylvania State University, University Park, PA 16802, USA

Surface Review and Letters (SRL), 1998, vol. 05, issue 02, 519-526

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.

Date: 1998
References: Add references at CitEc
Citations:

Downloads: (external link)
http://www.worldscientific.com/doi/abs/10.1142/S0218625X9800089X
Access to full text is restricted to subscribers

Related works:
This item may be available elsewhere in EconPapers: Search for items with the same title.

Export reference: BibTeX RIS (EndNote, ProCite, RefMan) HTML/Text

Persistent link: https://EconPapers.repec.org/RePEc:wsi:srlxxx:v:05:y:1998:i:02:n:s0218625x9800089x

Ordering information: This journal article can be ordered from

DOI: 10.1142/S0218625X9800089X

Access Statistics for this article

Surface Review and Letters (SRL) is currently edited by S Y Tong

More articles in Surface Review and Letters (SRL) from World Scientific Publishing Co. Pte. Ltd.
Bibliographic data for series maintained by Tai Tone Lim ().