Quantum chaos in the framework of complex probability processes. Thermodynamics of nonrelativistic vaccum

中微子弹井中的相对论量子混沌

Relativistic Quantum Chaos in Neutrino Billiards

研究中微子弹井中相对论量子混沌特性，分析可积动力学和混沌动力学弹井的性质及实验实现可能性

Open Quantum Systems, Entropy and Chaos

Entropy generation in quantum sytems is tied to the existence of a nonclassical environment (heat bath or other) with which the system interacts. The continuous `measuring' of the open system by its environment induces decoherence of its wave function and entropy increase. Examples of nonrelativistic quantum Brownian motion and of interacting scalar fields illustrate these general concepts. It is shown that the Hartree-Fock approximation around the bare classical limit can lead to spurious semiquantum chaos, which may affect the determination of entropy production and thermalization also in ot…

Quantum Corrections to the Classical Dynamics: Application to the SU(2) Lipkin Model

We show how nonrelativistic many body techniques can be used to study quantum corrections to the classical limit, in particular of the $SU(2)$ Lipkin Model. We show that the quantum corrections are essentially of two types: unitary and nonunitary. In this work we perform a detailed study of the unitary corrections. They can be cast in Hamiltonian form and are shown to double the number of degrees of freedom. As a consequence chaotic behavior emerges. We show that this semiquantal chaos is the mechanism trough which tunneling is effected. We also show that these corrections systematically impro…

经典浅水波中的量子粒子统计

Quantum Particle Statistics in Classical Shallow Water Waves

本文通过建立薛定谔方程实变体与重力-毛细浅水波的流体动力学类比，揭示了经典确定性系统中可复现量子统计与玻恩规则，并提出准稳态跃迁的经典机制。