87 citations · 301 across the 24 of their papers we have counts for
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Dirac particles on periodic quantum graphs
J. R. Yusupov, K. K. Sabirov, D. U. Matrasulov
We consider the Dirac equation on periodic networks (quantum graphs). The self-adjoint quasi periodic boundary conditions are derived. The secular equation allowing us to find the…
Dirac Particles in Transparent Quantum Graphs: Tunable transport of relativistic quasiparticles in branched structures
J. R. Yusupov, K. K. Sabirov, Q. U. Asadov +2
We consider the dynamics of relativistic spin-half particles in quantum graphs with transparent branching points. The system is modeled by combining the quantum graph concept with…
Transparent Quantum Graphs
J. R. Yusupov, K. K. Sabirov, M. Ehrhardt +1
We consider quantum graphs with transparent branching points. To design such networks, the concept of transparent boundary conditions is applied to the derivation of the vertex bou…
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…