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Quantized geodesic flow and superconductivity of plasma in fireballs

M. Zelikin
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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.

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M. Zelikin. 2007-02-21. Quantized geodesic flow and superconductivity of plasma in fireballs. https://arxiv.org/abs/math/0702611

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