Generalised complex geometry in thermodynamical fluctuation theory
Mathematical Physics
2015-08-21 v3 math.MP
Quantum Physics
Abstract
We present a brief overview of some key concepts in the theory of generalised complex manifolds. This new geometry interpolates, so to speak, between symplectic geometry and complex geometry. As such it provides an ideal framework to analyse thermodynamical fluctuation theory in the presence of gravitational fields. To illustrate the usefulness of generalised complex geometry, we examine a simplified version of the Unruh effect: the thermalising effect of gravitational fields on the Schroedinger wavefunction.
Cite
@article{arxiv.1505.06647,
title = {Generalised complex geometry in thermodynamical fluctuation theory},
author = {P. Fernandez de Cordoba and J. M. Isidro},
journal= {arXiv preprint arXiv:1505.06647},
year = {2015}
}
Comments
Refs. added; section 3 new; examples added; 16 pp