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4 papers
Propagators of singular anharmonic oscillators with quasi-equidistant spectra
Andrey M. Pupasov-Maksimov, Marcelo Silva Oliveira
Darboux transformations of the singular harmonic oscillator are considered. Analytical expressions for the propagators are obtained, using the image method applied to formal singul…
Smith-Purcell radiation of a vortex electron
Andrey Pupasov-Maksimov, Dmitry Karlovets
We study Smith-Purcell radiation from a conducting grating generated by a vortex electron with an orbital angular momentum , described as a generalized Laguerre-Gaussia…
Non-linear quantum effects in electromagnetic radiation of a vortex electron
D. V. Karlovets, A. M. Pupasov-Maksimov
There is a controversy of how to interpret interactions of electrons with a large spatial coherence with light and matter. When such an electron emits a photon, it can do so either…
Propagators of isochronous an-harmonic oscillators and Mehler formula for the x-Hermite polynomials
Andrey M. Pupasov-Maksimov
It is shown that fundamental solutions of the non-stationary Schrödinger equation (Green functions, or propagators) for the rational ext…