An antiproton plasma confined in a quasi-1D device is described terms of self-consistent fluid formulation using variational approach. Unlike previous treatments, the use time-dependent method allows to retain thermal and Coulomb effects. A certain Ansatz proposed for number density velocity fields, which reduces problem essentially ordinary nonlinear differential equations. In adiabatic coolin...

With the help of low-dimensional reference equations (ordinary differential equations) and corresponding coordinate transformations, non-stationary 4D quantum oscillator in an external field is reduced to autonomous form. The latter, particular, reflects existence a new type dynamical symmetry that reduces equation motion form does not change with time. By imposing additional constraint on wave...

In this article, we revisit the concepts and tools of harmonic analysis control provide a rigorous mathematical answer to following question: When does an have representative in time domain? By mean domain that leads by sliding Fourier decomposition exactly same control. Harmonic controls do not such representatives lead erroneous results practice. The main article are: A one-to-one corresponde...