Nonlinear Sciences – Chaotic Dynamics
Scientific paper
2007-05-19
Nonlinear Sciences
Chaotic Dynamics
21 pages, 7 figures (6 color figures), submitted to Proc. R. Soc. A
Scientific paper
10.1098/rspa.2007.0263
Just as a coherent state may be considered as a quantum point, its restriction to a factor space of the full Hilbert space can be interpreted as a quantum plane. The overlap of such a factor coherent state with a full pure state is akin to a quantum section. It defines a reduced pure state in the cofactor Hilbert space. The collection of all the Wigner functions corresponding to a full set of parallel quantum sections defines the Husimi-Wigner reresentation. It occupies an intermediate ground between drastic suppression of nonclassical features, characteristic of Husimi functions, and the daunting complexity of higher dimensional Wigner functions. After analysing these features for simpler states, we exploit this new representation as a probe of numerically computed eigenstates of chaotic Hamiltonians. The individual two-dimensional Wigner functions resemble those of semiclassically quantized states, but the regular ring pattern is broken by dislocations.
Carvalho André R. R.
de Almeida Alfredo M. Ozorio
Kenfack Anatole
Rost Jan M.
Toscano Fabricio
No associations
LandOfFree
Husimi-Wigner representation of chaotic eigenstates 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 Husimi-Wigner representation of chaotic eigenstates, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Husimi-Wigner representation of chaotic eigenstates will most certainly appreciate the feedback.
Profile ID: LFWR-SCP-O-585898