Problems in the quantum theory of condensed media

Betrand Halperin

Stefan G. Christov

A quantum theory of decay processes in condensed phases is presented. It is based on a general dynamic rate theory applied to a model in which a particle is bilinearly coupled to a system of harmonic oscillators. Both adiabatic and nonadiabatic processes are considered. The many-dimensional problem is reduced to a one-dimensional case making use of a separable (normal mode) coordinate correlated to the particle coordinate. The rate constant is calculated throughout the temperature range. The results of earlier work using stochastic theory are obtained in the limit of weak particle-medium coupling.

Andrei Yu. Khrennikov

This paper aims to present the basic assumptions for creation of social Fröhlich condensate and attract attention of other researchers (both from physics and socio-political science) to the problem of modelling of stability and order preservation in highly energetic society coupled with social energy bath of high temperature. The model of social Fröhlich condensation and its analysis are based on the mathematical formalism of quantum thermodynamics and field theory (applied outside of physics). The presented quantum-like model provides the consistent operational model of such complex socio-political phenomenon as Fröhlich condensation. The model of social Fröhlich condensation is heavily based on theory of open quantum systems. Its consistent elaboration needs additional efforts. Evidence of such phenomenon as social Fröhlich condensation is demonstrated by stability of modern informationally open societies Approaching the state of Fröhlich condensation is the powerful source of social stability. Understanding its informational structure and origin may help to stabilize the modern society. Application of the quantum-like model of Frhlich condensation in social and political sciences is really the novel and original approach to mathematical modeling of social stability in society exposed to powerful information radiation from mass-media and internet based sources.

Bertrand I. Halperin, Alexander Sevrin

Mark S. Hillery, Leonard D. Mlodinow

We point out some problems with the usual quantum-mechanical theory of electrodynamics in nonlinear dielectric media which is used in nonlinear optics. In order to understand these problems, the Hamiltonian formulation of the theory is examined. It is found that many of the difficulties in the usual theory are a result of the fact that the canonical momentum for the interacting theory is not the same as that for the free electromagnetic field theory.