Calculation nonstationary fields

Let us note that in solving many boundary problems related to the calculation of nonstationary fields, conditions 1.244 or 1.245 are extremely important and are usually referred to as initial conditions. They are in essence a modification of Faraday s law and therefore must be satisfied by any nonstationary field in a conducting medium. 

Here p is dipole operator and E(t) is electric field in optical radiation. Due to the application of V(t), the system becomes nonstationary and the rate of energy absorption can be calculated ... 

The average value of the dipole moment will be calculated by means of Dirac s perturbation theory for nonstationary. states, up to third order the zero order refers to the free molecules in the absence of the field. Let the wave function of the system of the two interacting molecules in- the external field be specified by y, an eigenfunction of the total Hamiltonian H. This wave function y> may be expanded in a complete set of the energy eigenfunctions unperturbed system the index n labels the various unperturbed eigenstates characterized by the energy En. We may then write... 

A Computer-oriented algorithm for nonstationary random vibrations of polygonal Kirchhoff-plates has been developed. A fast and accurate BEM for calculation of undamped frequency response function has been used. Light hysteretic damping has been introduced subsequently, and the modified spectral Priestley-formulation has been applied in order to calculate evolutionary output power spectral density functions. It is hoped that this solution strategy will be of interest for workers in the field of probabilistic structural dynamics. 

The variation dJ = 0 yields the so-called time-dependent coupled Hartree-Fock equations. When the field does not break the periodic symmetry of the polymer, these equations are already formulated for a polymer. Since, however, the different cases of the effects of stationary magnetic fields on the band structure of a polymer have not yet been programmed, and therefore no calculations are available for this problem, we shall not give here the rather complicated equations obtained for the case of nonstationary magnetic fields. 

Finally, we note that when band-structure (and wave function) calculations will be available for polymers in the presence of stationary and nonstationary magnetic fields, it will be possible to compute both the current induced by the magnetic field and the static and frequency-dependent magnetic susceptibilities. Since, however, no such calculations for polymers (even in a very approximate form) are available in the... 

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