Research interests (-> Introduction)

Wavefunctions in mixed systems
mixed wavefunction

Mesoscopic systems
conductance fluctuations

Spectral statistics
GOE vs. Poisson

Wavefunctions in chaotic systems
chaotic wavefunction

Periodic orbits
cosine modulated heat kernel, cardioid billiard

Introduction

In quantum chaos one studies quantum systems whose underlying classical dynamics is non-integrable or ''chaotic''. This behaviour is reflected in the statistical properties of eigenvalues of the quantum system and in the structure of its wavefunctions

Illustration

Regular dynamics:
integrable billiards

Chaotic dynamics:
chaotic billiards


Classical trajectories vs. irregular wave functions:
classical vs. quantum


An introduction to some aspects can be found in the articles Numerical aspects of eigenvalue and eigenfunction computations for chaotic quantum systems and Quantum chaos and quantum ergodicity.
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