Quantum chaos

The term quantum chaos called an interdisciplinary field of physics. Similar to the field of classical mechanics, where it may for certain systems to deterministic chaos, eg for the Navier -Stokes equations for weather forecasting and climate prediction of significance (see butterfly effect ), there is also in quantum mechanics systems with chaotic behavior.

The correspondence principle describes the transition from the quantum-mechanical consideration to the classical limit, the area between classical and quantum mechanical systems is referred to as semi- classical. Nonlinear chaotic quantum systems have been found in the field of nuclear physics, atomic physics, molecular physics, solid state physics, optics, microwaves, and acoustics, so the quantum chaos is an interdisciplinary character.

The chaotic behavior of quantum systems is thereby determined by the analysis of the spectral distribution, for example, is different from deterministic quantum systems. It is in chaotic quantum systems determined, for example, level repulsion or increased probabilities, where the classical system has only unstable trajectories. Another possibility is the temporal evolution of the quantum system and its response to external influences ( forces) with irregular amplitude distributions.

For example, the Hamiltonian with stochastic (random ) potential so-called critical wave functions as a solution and a Cantor set (see mathematical "Devil's staircase " ) as a spectrum with the Lebesgue measure zero. In practice, these quantum systems show strong fluctuations on the mesoscopic level.

As an alternative name for quantum chaos was designed by Sir Michael Berry " quantum Chaologie " suggested. Significant methods that are used to study quantum chaos, the random matrix theory of Oriol Bohigas and Periodic -orbit theory of Gutzwiller Martin.