Pavel Stránský
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Last updated: 8.6.2018

Level dynamics of the Creagh-Whelan potential - smoothing

Level dynamics hbar=0.2
Figure 1. (A; E) Level dynamics.
The intensity of the red color shades expresses the classical chaoticity (see Figure 3, if present).
Green dashed lines separate regions of a fully convex border of the kinematically accessible region from a partly concave one.
Red solid lines correspond with the positions of the stationary points of the potential (critical triangle).
Click on the Figure to return to the dynamics summary.
freg
Figure 3. (A; E) Classical regularity freg (white-regular: freg=1, black-chaotic: freg=0).
Green dashed lines separate regions of a fully convex border of the kinematically accessible region from a partly concave one.
Red solid lines correspond with the positions of the stationary points of the potential (critical triangle).
ρdρ/dEρ-bar(ρ)ρdρ/dEρ-bar(ρ)
Smoothed level densityFirst derivative of the smoothed level densitySmoothed level density   Smoothed level densityFirst derivative of the smoothed level densitySmoothed level density
Smoothed level densityFirst derivative of the smoothed level densitySmoothed level density   Smoothed level densityFirst derivative of the smoothed level densitySmoothed level density
Smoothed level densityFirst derivative of the smoothed level densitySmoothed level density   Smoothed level densityFirst derivative of the smoothed level densitySmoothed level density
Smoothed level densityFirst derivative of the smoothed level densitySmoothed level density   Smoothed level densityFirst derivative of the smoothed level densitySmoothed level density
Smoothed level densityFirst derivative of the smoothed level densitySmoothed level density   Smoothed level densityFirst derivative of the smoothed level densitySmoothed level density
Figure 2. Smoothed level density rho_sigma for various values of σ.