ELFT HÍRADÓ

[Biro Tamas <biro.tamas AT wigner.mta.hu>]

Dear Colleague,

we cordially invite you to our next


 W I G N E R    C O L L O Q U I U M

     on

Quantum chaos of generic systems: Divided phase space, localization of 
chaotic eigenstates and spectral statistics

by Prof. Marko Robnik (CAMTP Maribor Slovenia)

Tuesday 24 Apr 2018, 14:00 → 15:00 Europe/Budapest
Bldg. 1. Meeting room (Wigner FK)


Abstract:

Quantum chaos (or wave chaos) is the study of phenomena in the quantum 
domain (or in other wave systems) which correspond to the classical 
chaos. Generic Hamiltonian systems are those with divided classical 
phase space: regular motion on invariant tori for some initial 
conditions, and chaotic motion for complementary initial conditions. 
Quantaly, in the semiclassical limit,  we have to separate regular and 
chaotic eigenstates, which we do not do only conceptually, but also 
mathematically. Furthermore, we study the structure of chaotic 
eigenstates. If the quantal Heisenberg time (Planck constant divided by 
the average energy spacing of discrete energy spectra) is shorter than 
the relevant classical transport time (diffusion time, or relaxation 
time), we find localized chaotic eigenstates, and extended chaotic 
eigenstates otherwise. I shall quantify these ideas, and present also 
the manifestation of these phenomena in the statistical properties of 
the discrete energy spectra.