34 citations · 62 across the 14 of their papers we have counts for
4 papers · 1 filter
Charged solitons in branched conducting polymers
D. Babajanov, H. Matyoqubov, D. Matrasulov
We consider dynamics of charged solitons in branched conducting polymers. An effective model based on the sine-Gordon equation on metric graphs is used for computing the charge tra…
Quantum dynamics of PT-symmetrically kicked particle confined in a 1D box
J. Yusupov, S. Rakhmanov, D. U. Matrasulov +1
We study quantum particle dynamics in a box and driven by PT-symmetric, delta-kicking complex potential. Such dynamical characteristics as the average kinetic energy as function of…
PT-symmetric quantum graphs
D. U. Matrasulov, K. K. Sabirov, J. R. Yusupov
We consider branched quantum wires, whose connection rules provide PT-symmetry for the Schrodinger equation on graph. For such PT-symmetric quantum graph we derive general boundary…
Bogoliubov de Gennes equation on metric graphs
K. K. Sabirov, D. Jumanazarov, J. Yusupov +1
We consider Bogoliubov de Gennes equation on metric graphs. The vertex boundary conditions providing self-adjoint realization of the Bogoliubov de Gennes operator on a metric star…