Quantized geodesic flow and superconductivity of plasma in fireballs
Dynamical Systems
2007-05-23 v1 Mathematical Physics
math.MP
Abstract
An explanation of stability of fireballs is proposed based on quantum effects in a thin surface layer of negatively charged plasma surrounding a positive kernel of a fireball. We construct a quantization of the geodesic flow on the sphere and study the quantum statistics of fermions confined to a spherical surface. Analogy with the BCS theory of superconductivity is explored; spectral gap is estimated.
Keywords
Cite
@article{arxiv.math/0702611,
title = {Quantized geodesic flow and superconductivity of plasma in fireballs},
author = {M. Zelikin},
journal= {arXiv preprint arXiv:math/0702611},
year = {2007}
}