222 citations · 1.7k across the 99 of their papers we have counts for
5 papers · 1 filter
Stationary real solutions of the nonlinear Schrödinger equation on a ring with a defect
Axel Pérez-Obiol, Taksu Cheon
We analyze the 1D cubic nonlinear stationary Schrödinger equation on a ring with a defect for both focusing and defocusing nonlinearity. All possible and boundary conditio…
Quantum anholonomy with topology change
Taksu Cheon, Atushi Tanaka, Ondřej Turek
We study a family of closed quantum graphs described by one singular vertex of order n=4. By suitable choice of the parameters specifying the singular vertex, we can construct a cl…
Quantum graph vertices with permutation-symmetric scattering probabilities
Ondřej Turek, Taksu Cheon
Boundary conditions in quantum graph vertices are generally given in terms of a unitary matrix . Observing that if has at most two eigenvalues, then the scattering matrix $\…
Hermitian unitary matrices with modular permutation symmetry
Ondrej Turek, Taksu Cheon
We study Hermitian unitary matrices with the following property: There exist and such that the entries of satisfy $|\m…
Fulop-Tsutsui interactions on quantum graphs
Taksu Cheon, Ondrej Turek
We examine scale invariant Fulop-Tsutsui couplings in a quantum vertex of a general degree . We demonstrate that essentially same scattering amplitudes as for the free coupling…