Quantum charged non-linear nano-string and quantum vacuum

Abstract

The classical and quantum dynamic of a non-linear charged vibrating string and its interaction with quantum vacuum field is investigated. Some probability amplitudes for transitions between vacuum field and quantum states of the string are obtained. The effect of non-linearity on some probability amplitudes is investigated and finally the correct equation for string containing the vacuum and radiation reaction field is obtained. © 2005 Springer Science+Business Media, Inc.