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VOL. 14 | 2013 Schrödinger Minimum Uncertainty States of EM-Field in Nonstationary Media with Negative Differential Conductivity
Andrey Angelow, Dimitar Trifonov

Editor(s) Ivaïlo M. Mladenov, Andrei Ludu, Akira Yoshioka

## Abstract

Quantization of the electromagnetic field in non-stationary media (linear with respect to $E$, with negative differential conductivity) is investigated. The dynamical invariants and statistical properties of the field are found in such media. It is shown that in the eigenstates of linear dynamical invariant, the Schrödinger uncertainty relation is minimized. The time evolution of the tree independent second-order statistical moments (quantum fluctuations: covariance cov(q,p), var(q) and var(p)) are found out.

## Information

Published: 1 January 2013
First available in Project Euclid: 13 July 2015

zbMATH: 1382.81210
MathSciNet: MR3183928

Digital Object Identifier: 10.7546/giq-14-2013-37-47