Electronic Resource
College Park, Md.
:
American Institute of Physics (AIP)
Journal of Mathematical Physics
34 (1993), S. 23-28
ISSN:
1089-7658
Source:
AIP Digital Archive
Topics:
Mathematics
,
Physics
Notes:
Using two simple tricks, the results of our previous papers concerning bound states of Dirichlet Laplacians in curved tubes in Rν, ν=2, 3 are improved. If the tube is smooth and thin enough, the bound states are shown to exist if the tube curvature (and torsion for ν=3) decays with respect to the arclength parameter s as ||s||−1/2−ε. A sufficient condition is found and it is proved that it is necessary at the same time, provided the curvature (torsion) decays as ||s||−1−ε and the tube is only mildly bent.
Type of Medium:
Electronic Resource
URL:
http://dx.doi.org/10.1063/1.530378
Permalink
|
Location |
Call Number |
Expected |
Availability |