Go to content
UR Home

Near-threshold quantization and level densities for potential wells with weak inverse-square tails

Moritz, Michael J., Eltschka, Christopher and Friedrich, Harald (2001) Near-threshold quantization and level densities for potential wells with weak inverse-square tails. Physical Review A (PRA) 64 (2), 022101.

Full text not available from this repository.

at publisher (via DOI)

Other URL: http://link.aps.org/doi/10.1103/PhysRevA.64.022101


Abstract

For potential tails consisting of an inverse-square term and an additional attractive 1/r^m term, V(r)∼[ħ^2/(2M)][(γ/r^2)-(β^(m-2)/r^m)], we derive the near-threshold quantization rule n=n(E) which is related to the level density via ρ=dn/dE. For a weak inverse-square term, -1/4 < γ <3/4 (and m>2), the leading contributions to n(E) are n=^(E→0) A-B(-E)^sqrt[γ+1/4], so ρ has a singular ...

plus


Export bibliographical data



Item type:Article
Date:6 July 2001
Institutions:UNSPECIFIED
Identification Number:
ValueType
10.1103/PhysRevA.64.022101DOI
Classification:
NotationType
03.65.Ge, 03.65.Sq, 03.65.XpPACS
Keywords:semiclassics, WKB, bound states, scattering
Dewey Decimal Classification:500 Science > 530 Physics
Status:Published
Refereed:Yes, this version has been refereed
Created at the University of Regensburg:No
Item ID:8972
Owner only: item control page
  1. Homepage UR

University Library

Publication Server

Contact:

Publishing: oa@ur.de

Dissertations: dissertationen@ur.de

Research data: daten@ur.de

Contact persons