Semiclassical theory of transport in a random magnetic field

Theory of Passive Magnetic Field Transport

In recent years, our knowledge of photospheric magnetic fields went through a thorough transformation—nearly unnoticed by dynamo theorists. It is now practically certain that the overwhelming majority of the unsigned magnetic flux crossing the solar surface is in turbulent form (intranetwork and hidden fields). Furthermore, there are now observational indications (supported by theoretical argum...

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 ...

The semiclassical propagator in field theory

We consider scalar field theory in a changing background field. As an example we study the simple case of a spatially varying mass for which we construct the semiclassical approximation to the propagator. The semiclassical dispersion relation is obtained by consideration of spectral integrals and agrees with the WKB result. Further we find that, as a consequence of localization, the semiclassic...

Semiclassical Pseudodifferential Calculus and the Reconstruction of a Magnetic Field

We give a procedure for reconstructing a magnetic field and electric potential from boundary measurements given by the Dirichlet to Neumann map for the magnetic Schrödinger operator in Rn, n ≥ 3. The magnetic potential is assumed to be continuous with L∞ divergence and zero boundary values. The method is based on semiclassical pseudodifferential calculus and the construction of complex geometri...

Combinatorial theory of the semiclassical evaluation of transport moments. I. Equivalence with the random matrix approach