Effect of a magnetic flux line on the quantum beats in the HénonHeiles level density
Abstract
The quantum density of states of the HénonHeiles potential displays a pronounced beating pattern. This has been explained by the interference of three isolated classical periodic orbits with nearby actions and periods. A singular magnetic flux line, passing through the origin, drastically alters the beats even though the classical Lagrangean equations of motion remain unchanged. Some of the changes can be easily understood in terms of the AharonovBohm effect. However, we find that the standard periodic orbit theory does not reproduce the diffractionlike quantum effects on those classical orbits which intersect the singular flux line, and argue that corrections of relative order $\hbar$ are necessary to describe these effects. We also discuss the changes in the distribution of nearestneighbour spacings in the eigenvalue spectrum, brought about by the flux line. pacs{PACS numbers: 05.45.+b, 02.50.+s,03.65.w,03.65.Ge }
 Publication:

arXiv eprints
 Pub Date:
 December 1993
 arXiv:
 arXiv:chaodyn/9312002
 Bibcode:
 1993chao.dyn.12002B
 Keywords:

 Nonlinear Sciences  Chaotic Dynamics