Effect of a magnetic flux line on the quantum beats in the Hènon-Heiles level density

Brack, M. ; Bhaduri, R. K. ; Law, J. ; Maier, C. ; Murthy, M. V. N. (1995) Effect of a magnetic flux line on the quantum beats in the Hènon-Heiles level density Chaos, 5 (1). pp. 317-329. ISSN 1054-1500

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Official URL: http://chaos.aip.org/resource/1/chaoeh/v5/i1/p317_...

Related URL: http://dx.doi.org/10.1063/1.166080


The quantum density of states of the Hènon-Heiles 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 Lagrangian equations of motion remain unchanged. Some of the changes can be easily understood in terms of the Aharonov-Bohm effect. However, we find that the standard periodic orbit theory does not reproduce the diffraction-like quantum effects on those classical orbits which intersect the singular flux line, and argue that corrections of relative order ℏ are necessary to describe these effects. We also discuss the changes in the distribution of nearest-neighbor spacings in the eigenvalue spectrum, brought about by the flux line.

Item Type:Article
Source:Copyright of this article belongs to American Institute of Physics.
Keywords:Dynamical Systems; Quantum Beats; Magnetic Field Effects; Magnetic Flux; Orbits; Periodic Solution; Aharonov-bohm Effect; Diffraction; Eigenvalues; Classical Mechanics; Semiclassical Approximation
ID Code:79638
Deposited On:27 Jan 2012 11:37
Last Modified:27 Jan 2012 11:37

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