Dresden 2014 – wissenschaftliches Programm
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DY: Fachverband Dynamik und Statistische Physik
DY 23: Quantum Chaos
DY 23.14: Vortrag
Mittwoch, 2. April 2014, 18:30–18:45, ZEU 146
Quantum-classical correspondence and critical phenomena in anisotropic Kepler problem — •Kazuhiro Kubo1,2 and Tokuzo Shimada2 — 1Max-Planck-Institut für Physik Komplexer Systeme, Dresden, Germany — 2Dept. Phys., Meiji Univ., Kanagawa, Japan
Recently the importance of entanglement analysis in the Anderson localization is well recognized with respect to the multifractality of a wave function near the criticality. From a random matrix model for the critical statistics, García-García and Verbaarschot conjectured in 2003 that the Anderson localization closely relates to the critical phenomena in the quantum chaos. The crucial test can be done by investigating the relation between the wave function multifractality and the compressibility of energy eigenvalues. As a suitable model we choose the anisotropic Kepler problem (AKP) — the hydrogen atom with electron-mass anisotropy parameter. We have recently performed an extensive numerical calculation for the AKP quantum states using two independent basis sets (sturmian and harmonic-wave function basses). We hope we can present a preliminary account on this issue.