8 papers
How Time Works in Quantum Systems: Overview of time ordering and time correlation in weakly perturbed atomic collisions and in strongly perturbed qubits
J. H. McGuire, L. Kaplan, Kh. Kh. Shakov +5
Time ordering may be defined by first defining the limit of no time ordering (NTO) in terms of a time average of an external interaction, V(t). Previously, time correlation was def…
Scarring Effects on Tunneling in Chaotic Double-Well Potentials
W. E. Bies, L. Kaplan, E. J. Heller
The connection between scarring and tunneling in chaotic double-well potentials is studied in detail through the distribution of level splittings. The mean level splitting is found…
Short-Time Effects on Eigenstate Structure in Sinai Billiards and Related Systems
L. Kaplan, E. J. Heller
There is much latitude between the requirements of Schnirelman's theorem regarding the ergodicity of individual high-energy eigenstates of classically chaotic systems on the one ha…
Measuring Scars of Periodic Orbits
L. Kaplan, E. J. Heller
The phenomenon of periodic orbit scarring of eigenstates of classically chaotic systems is attracting increasing attention. Scarring is one of the most important "corrections" to t…
Quantizing Constrained Systems: New Perspectives
L. Kaplan, N. T. Maitra, E. J. Heller
We consider quantum mechanics on constrained surfaces which have non-Euclidean metrics and variable Gaussian curvature. The old controversy about the ambiguities involving terms in…
Scar and Antiscar Quantum Effects in Open Chaotic Systems
L. Kaplan
We predict and numerically observe strong periodic orbit effects in the properties of open quantum systems with a chaotic classical limit. Antiscars lead to a large number of expon…