Another Formulation of the Wick's Theorem. Farewell, Pairing?

The algebraic formulation of Wick's theorem that allows one to present the vacuum or thermal averages of the chronological product of an arbitrary number of field operators as a determinant (permanent) of the matrix is proposed. Each element of the matrix is the average of the chronological product of only two operators. This formulation is extremely convenient for practical calculations in quantum field theory and statistical physics by the methods of symbolic mathematics using computers

Nonmonotonic Decay of Nonequilibrium Polariton Condensate in Direct-Gap Semiconductors

Time evolution of a nonequilibrium polariton condensate has been studied in the framework of a microscopic approach. It has been shown that due to polariton-polariton scattering a significant condensate depletion takes place in a comparatively short time interval. The condensate decay occurs in the form of multiple echo signals. Distribution-function dynamics of noncondensate polaritons have been investigated. It has been shown that at the initial stage of evolution the distribution function has the form of a bell. Then oscillations arise in the contour of the distribution function, which further transform into small chaotic ripples. The appearance of a short-wavelength wing of the distribution function has been demonstrated. We have pointed out the enhancement and then partial extinction of the sharp extra peak arising within the time interval characterized by small values of polariton condensate density and its relatively slow changes.Comment: 20 pages, LaTeX 2.09; in press in PR

Developmental Causation: A Set of Strict Instructions or a Self-organized Morphogenetic Field?

Two alternative versions of interpreting the developmental events are discussed. The first of them regards the development as a set of highly specific steps each of them being caused by a unique special force, or an “instruction”. By this version, nothing outside the rigidly determined chain of events is presented, and the ultimate aim of a researcher is in making a list of specific instructions. The second version is centered around the notion of an extended spatio-temporal continuum (morphogenetic field). Any developmental trajectory is now considered to be the function of this continuum’s geometry in Euclidean and/or phase space. Within the context of such an alternative we review the classical embryological data related to inductive phenomena and embryonic regulations. The contours of a morphogenetic field theory are sketched

Generalized bipolariton model. Propagation of a ultrashort laser pulse through a thin semiconductor film in the conditions of two-photon generation of biexcitons

A generalized bipolariton model is proposed. Bipolaritons is formed from virtual excitons of four kinds. There exists both attractive and repulsive interaction between these excitons, though only excitons of a specific type can interact with light. A substantial difference between conventional and our models is shown for the case of nonlinear transmission/reflection of ultrashort laser pulses by a thin semiconductor film under two-photon generation of biexciton

Nonlinear Transmission of Two Successive Ultrashort Laser Pulses by a Thin Semiconductor Film under Two-Photon Generation of Biexcitons.Giant Oscillator Strength Model

The possibility was investigated to compress and to split laser pulses at their nonlinear optical transmission through semiconductor films