42 citations · 241 across the 15 of their papers we have counts for
16 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…
One-dimensional relativistic particle as a movable cellular automaton
Andrey Pupasov-Maksimov
The one-dimensional dynamics of identical discrete elements that combine the properties of newtonian mechanical particles and cellular automata are investigated. It is shown that t…
Controversy of quantum congestion in two-particle quantum walks
A. D. Lobanova, A. D. Lobanov, A. M. Pupasov-Maksimov
The article deals with one- and two-particle quantum walks on a graph with Braess-like topology and analyzes the issue of network congestion in the quantum world. Our approach to t…
The passage of a vortex electron over an inclined grating
A. Pupasov-Maksimov, D. Karlovets
We study Smith-Purcell radiation from a conducting grating generated by an inclined passage of a shaped electron wave packet with an electric quadrupole moment in the non-paraxial…
Two-parameter landscape of transport efficiency in mesoscopic networks: transitions from the Braess to normal regimes without a congestion relaxation
A. D. Lobanov, A. D. Lobanova, A. M. Pupasov-Maksimov
This paper deals with the Braess paradox in quantum transport. The scattering matrix formalism is used to consider a two-parameter family of mesoscopic conductors with the topology…
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…
Reply to Comment on "Nonlinear quantum effects in electromagnetic radiation of a vortex electron" by A. Karnieli, R. Remez, I. Kaminer, et al
D. V. Karlovets, A. M. Pupasov-Maksimov
We argue that while the experiment of Remez et al. is interesting and its conclusions may well be correct, the observed lack of dependence of the measured distributions on the elec…
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…
Relativistic corrections to the algebra of position variables and spin-orbital interaction
Alexei A. Deriglazov, Andrey M. Pupasov-Maksimov
In the framework of vector model of spin, we discuss the problem of a covariant formalism \cite{Pomeranskii1998} concerning the discrepancy between relativistic and Pauli Hamiltoni…
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…
Frenkel electron on an arbitrary electromagnetic background and magnetic Zitterbewegung
Alexei A. Deriglazov, Andrey M. Pupasov-Maksimov
We present Lagrangian which implies both necessary constraints and dynamical equations for position and spin of relativistic spin one-half particle. The model is consistent for any…
Single- and coupled-channel radial inverse scattering with supersymmetric transformations
Daniel Baye, Jean-Marc Sparenberg, Andrey M Pupasov-Maksimov +1
The present status of the coupled-channel inverse-scattering method with supersymmetric transformations is reviewed. We first revisit in a pedagogical way the single-channel case,…
Lagrangian for Frenkel electron and position's non-commutativity due to spin
Alexei A. Deriglazov, Andrey M. Pupasov-Maksimov
We construct relativistic-invariant spinning-particle Lagrangian without auxiliary variables. Spin is considered as a composed quantity constructed on the base of non-Grassmann vec…
Geometric Constructions Underlying Relativistic Description of Spin on the Base of Non-Grassmann Vector-Like Variable
Alexei A. Deriglazov, Andrey M. Pupasov-Maksimov
Basic notions of Dirac theory of constrained systems have their analogs in differential geometry. Combination of the two approaches gives more clear understanding of both classical…
Frenkel electron and a spinning body in a curved background
Walberto Guzmán Ramírez, Alexei A. Deriglazov, Andrey M. Pupasov-Maksimov
We develop a variational formulation of a particle with spin in a curved space-time background. The model is based on a singular Lagrangian which provides equations of motion, a fi…
Multichannel generalization of eigen-phase preserving supersymmetric transformations
Andrey M. Pupasov-Maksimov
We generalize eigen-phase preserving (EPP) supersymmetric (SUSY) transformations to channel Schrödinger equation with equal thresholds. It is established that EPP SUSY transf…