Chaos and Exponentially Localized Eigenstates in Smooth Hamiltonian Systems

Details Chaos and Exponentially Localized Eigenstates in Smooth Hamiltonian Systems Chaos and Exponentially Localized Eigenstates in Smooth Hamiltonian Systems

1997-03-31

arxiv.org/abs/chao-dyn/9704002v1

Nonlinear Sciences

Chaotic Dynamics

7pages including 7 figures. Submitted to PRL

Scientific paper

10.1103/PhysRevE.57.345

We present numerical evidence to show that the wavefunctions of smooth classically chaotic Hamiltonian systems scarred by certain simple periodic orbits are exponentially localized in the space of unperturbed basis states. The degree of localization, as measured by the information entropy, is shown to be correlated with the local phase space structure around the scarring orbit; indicating sharp localization when the orbit undergoes a pitchfork bifurcation and loses stability.

Affiliated with

Also associated with

No associations

Rating

Chaos and Exponentially Localized Eigenstates in Smooth Hamiltonian Systems does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.

If you have personal experience with Chaos and Exponentially Localized Eigenstates in Smooth Hamiltonian Systems, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Chaos and Exponentially Localized Eigenstates in Smooth Hamiltonian Systems will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-271905