In this mini-review, we describe some of the latest facts regarding the generation of condensed base phonons by biological entities, initially described by the renowned contemporary physicist, Nobel laureate, Herbert Fr?hlich, who proposed a new biophysical interaction mechanism between extremely high frequency electromagnetic waves and the biological environment. As we will show, this extremely low intensity millimeter therapy crystallizes as an important new method, universal and effective in the management of diseases with different etiologies. Moreover, the existence of internal electromagnetic fields generated by biological entities, as well as external electromagnetic fields, are essential for understanding the electromagnetic-biological effect. In fact, it is estimated that at present millimeter-wave therapy is used for the management of more than 120 diseases in cardiology, neurology, oncology, gynecology, urology, gastroenterology, surgery, pharmacology and pediatrics. However, so far there is still no consensus regarding the interaction between extremely high frequency/extremely low intensity electromagnetic waves and the biological environment at its different levels of organization. Thus, the present paper was intended to contribute to the development for the theory of millimeter-wave interaction with living biological entities.

The quantum fluctuations of coherent polaritons in bulk samples are quenched due t o the macroscopic occupation number of the single-particle state. But in the microcrystallites at low levels of excitation antibunching of the quasiparticlcs can occur. The nonstationary behavior of the coherent polaritons is characterized by the periodic, quasipcriodic, and chaotic self-pulsations. The phase trajectories are characterized by the limiting cycle, torus or strange attractor. TpaeIiTopm npa TOM npuTnruBamTcn rc npenenr,ao.ury quKny, TOPY m u CTpaHHoMy The Quantum Fluctuations of Coherent PolaritonsThe possibility of Bosc-Einstein condensation of excitons, biexcitons, or polaritons induced by resonant laser radiation is the topic of many works [ 1 to 61. The theoretical investigation of the properties of the coherent polariton wave and its interaction with phonons was made in [5, 61. The main peculiarities of the polanton-phonon system, excited in a resonant way, are the establishing of the phonoriton s p e c t r u m and the existence of a threshold concentration of coherent polaritons. The induced resonant Mandelstam-Hrillouin scattering takes place above this concentration. In our paper we shall deal with similar properties of the coherent polariton wave in the case of the polariton-polariton interaction. The changes of the incoherent polariton spectrum in this system were investigated for the first time in [71. We pay attention not t o the changes of the spectrum, but t o the influence of the quantum fluctuations on the establishing of the coherent polariton mode in the presence of the external laser field. The Pokker-Planck equation (FPE), which describes the coherent mode in a selfconsistent way was obtained. The cocfficients of the F P E depend on the mean values of tho occupation numbers of the incoherent polaritons, which in their turn depend on the coherent mode amplitude. The first attempt to study this problem was made in IS]. However, in [ti] only the deterministic approximation was considered without taking into account diffusion terms in the FPE, which in comparison with the drift ones contain the small factor l / V . The self-consistent character of the problem was not discussed.

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A selfconsistent steady state solution is given of the Fokker-Planck equation for polaritons with wave vector ko and the kinetic equations for the scattered ones are found. The statistics of the coherently excited polaritons k , differs in a most general case from the pure coherent state. It depends on the crystallite volume the frequency detuning Aw between the polariton bare frequency w(k,) and the laser one wL, and the driving field energy flow S,. In the case of small values of the product V . S, polariton bunching takes place when Aw -= 0, and antibunching in the opposite case. Polariton squeezed states can arise in both the detuning cases.

The phenomenon of self-induced transparency (SIT) in the exciton range of the spectrum has already been studied in a set of papers /1 to 5/. The major results concerning the coherent nonlinear propagation of ultra-short and short pulses of the resonant laser radiation exciting excitons in crystals a r e reflected in them.The interaction in a system of excitons of high density and the effect of dipole momentum saturation for the transition from the ground state of the crystal to the exciton one a r e the nonlinear t e r m s of the Hamiltonian. Their joint action leads to the stabilization of the wave packet envelopes and the soliton formation.The magnitude of the exciton translational mass and the spatial dispersion effects play a secondary role in the considered range of the spectrum and will not b e taken into account. This is connected with the fact that the polariton effect, i. e. the mixing of the free exciton and photon bands plays the main role. The spectrum mixing leads to the existence of lower and upper polariton branches, which have small negative values of effective masses correspondingly. This circumstance favours the formation of polariton solitons, the linear dimensions of which in the direction of travelling a r e greater than the light wavelength.The conditions of light travelling through the crystal-vacuum interface were not considered in the previous works, though they a r e of interest for any experiment.We want to determine the necessary parameters of the incident l a s e r ultrashort pulses. They must have such a time width, power, and envelope that after the penetration into the crystal they could travel at once as a solitary wave without distortion. For that purpose we employed the Maxwell-Fresnel boundary conditions. 1 ) Akademicheskaya 5, 2 77028 Kishinev, USSR.

S. A. MOSKALENEO et al. : Periodic and Stochastic Self-Pulsations 401 phys. stat. sol. (b) 150, 401 (lB88) Subject classification: 71.36 and 78.20 Institute of Applied Physicrr, Academy of Sciences of the Moldavian S8R, Kiehiner')Possible appearance of quasiperiodic and chaotic self-pulsations in a system of coherent excitons and photons as well a~ in the processes of oneand two-photon exciton-biexciton conversions are established for the first time. In the last two cases the generalized Lorem equations are obtained. Lyapunov analysis of the stationary state stability and computer exporiments are made. The main bifurcations in the three considered systoms of quasiparticles are found.

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