 equation 
After this maximum the ionization efficiency decreases in accord with the SahaLangmuirequation.


Using the Betheequation a numerical penetration depthenergyrelation for electrons was derived which gives good agreement with the experimental values.


Under suitable boundary conditions a method of integra ion is developed, which yields the exact solution of the relativistic threeparticleequation.


The conditions will be deduced for the exact solution of the ThomasFermiequation for an atom or ion, which is deformed by nonspherical fields.


It is shown that the Diracequation can be solved for a superposition of Yukawapotentials by a modified perturbation procedure.


This transportmechanism is described by a Boltzmannequation.


Masterequation for the statistical operator of solid state laser


The conditions for the existence of particular solutions are investigated for the space and timedependent linear Boltzmannequation which describes the neutron field.


One can see immediately that the density of states,N(r, ω), at any positionr and high energiesω is always larger than the local BCS density of states if the space dependence of the order parameter is governed by the GLequation.


By means of the Einsteinrelation the coefficients in the FokkerPlanckequation are related to the parameters in the phenomenological equations.


For the optical modelPerey andBuck did an exact nonlocal calculation with the Schr?dingerequation in integrodifferential form and also a good local approximation.


The nonlocal Schr?dingerequation has been solved in the shell model case with a kernelfunction, which is well known from optical model calculations.


This ionization and its dependence on temperature are in accord with the SahaLangmuirequation.


The wellknown methods of Langevinequations and masterequation for a few discrete modes are generalized to meet also the case of a radiation field with continuous spectrum.


The ionization at higher temperatures and there the dependence on temperature are in agreement with the SahaLangmuirequation.


The relaxation of a strongly anisotropic twocomponentplasma is treated by using the BalescuLenardequation, i.e.


At higher temperatures there is a slight decrease ofΒ in the case of tungsten in agreement with the SahaLangmuirequation.


Boundstate solutions to the BetheSalpeterequation of the WickCutkosky model


A discussion of the Boltzmannequation approach is also given.


By Taylor expansion one finds the time dependent GinzburgLandauequation.

