Semiclassical transport theory of inhomogeneous systems

Semiclassical theory of chaotic quantum transport.

We present a refined semiclassical approach to the Landauer conductance and Kubo conductivity of clean chaotic mesoscopic systems. We demonstrate for systems with uniformly hyperbolic dynamics that including off-diagonal contributions to double sums over classical paths gives a weak-localization correction in quantitative agreement with results from random matrix theory. We further discuss the ...

Semiclassical Methods of Deformation Quantisation in Transport Theory

Stochastic semiclassical equations for weakly inhomogeneous cosmologies.

Semiclassical Einstein-Langevin equations for arbitrary small metric perturbations conformally coupled to a massless quantum scalar eld in a spatially at cosmological background are derived. Use is made of the fact that for this problem the in-in or closed time path e ective action is simply related to the Feynman and Vernon in uence functional which describes the e ect of the \environment", th...

Classical and Semiclassical Carrier Transport and Scattering Theory

2 Semiclassical Transport Theory 3 2.1 Langrangian vs Eulerian Analysis Techniques . . . . . . . . . . . . . . . . . 3 2.2 Various Lifetime and Relaxation Time Constants . . . . . . . . . . . . . . . 4 2.2.1 Lifetime Constant (τ) . . . . . . . . . . . . . . . . . . . . . . . . . . 5 2.2.2 φ (Momentum) Relaxation Time Constant (τΦ) . . . . . . . . . . . . 7 2.2.3 Average φ(momentum) Relaxation T...

A semiclassical theory of quantum noise in open chaotic systems

We consider the quantum evolution of classically chaotic systems in contact with surroundings. Based on h̄-scaling of an equation for time evolution of the Wigner’s quasiprobability distribution function in presence of dissipation and thermal diffusion we derive a semiclassical equation for quantum fluctuations. This identifies an early regime of evolution dominated by fluctuations in the curvat...