Semiphenomenological theory

Thus, for the motion of the next state along the chain it is necessary to repolarize the chain into its initial state, which can be achieved by Bjerrum-fault transfer. The semiphenomenological theory of proton transfer along the hydrogen-bonded chain of the ice-like structure, developed in Ref. 161, includes the influence of longitudinal acoustic vibrations of the chain sites on the proton subsystem. Reference 162, in which the dynamics of the ionic state formation in the hydrogen-bonded chains is considered, resembles roughly Ref. 161. 

This paradox was explained by the semiphenomenological theory proposed in[91] and developed further in[92]. This theory takes into account the energy spectrum of the electron gas in a metal - one of the necessary participants in any electrode reaction. It is well known that electrons in a metal almost completely occupy all the levels in the lower part of the conduction band up to a certain limiting level called the Fermi level. Above the Fermi level, their concentration is low and exponentially decreases with an increase in their energy. 

First of all we have to mention that the above described situation of resonance is not related to any quantum effects. Moreover, the role of the transverse electromagnetic field in crystal oscillations in the infrared part of the spectrum was discussed by means of the classical dynamics of crystal lattices a long time ago by Born and Ewald (2) (see also (3) and (4)), and later by a semiphenomenological approach in (5), (6). It is evident, however, that a quantum theory of polaritons in the region of electronic transitions can also be important particularly for the discussion of quantum effects. 

The stochastic Bloch equation is a semiphenomenological equation with some elements of quantum mechanics in it. To understand better whether our results are quantum mechanical in origin, we analyze a classical model. Lorentz invented the theory of classical, linear interaction of light with matter. Here, we investigate a stochastic Lorentz oscillator model. We follow Allen and Eberley [108] who considered the deterministic model in detail. The classical model is also helpful because its physical interpretation is clear. We show that for weak laser intensity, the stochastic Bloch equations are equivalent to classical Lorentz approach. 

New experimental data on the time dependence of an increase in the number of correlated spins under the conditions of the observation of the multiquantum NMR spectrum of a solid have been processed on the basis of a microscopic theory for describing the growth of the second moment of multiquantum NMR. The results have been discussed on the basis of semiphenomenological models. 

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