68 citations · 298 across the 29 of their papers we have counts for
5 papers · 1 filter
Geometry induced charge separation on a helicoidal ribbon
Victor Atanasov, Rossen Dandoloff, Avadh Saxena
We present an exact calculation of the effective geometry-induced quantum potential for a particle confined on a helicoidal ribbon. This potential leads to the appearance of locali…
On the Multi-Component Nonlinear Schrödinger Equation with Constant Boundary Conditions
Victor Atanasov, Vladimir Gerdjikov
The multi-component nonlinear Schrodinger equation related to C.I=Sp(2p)/U(p) and D.III=SO(2p)/U(p)-type symmetric spaces with non-vanishing boundary conditions is solvable with th…
Curvature induced quantum potential on deformed surfaces
Victor Atanasov, Rossen Dandoloff
We investigate the effect of curvature on the behaviour of a quantum particle bound to move on a surface. For the Gaussian bump we derive and discuss the quantum potential which re…
Curvature-induced quantum behaviour on a helical nanotube
Victor Atanasov, Rossen Dandoloff
We investigate the effect of curvature on the behaviour of a quantum particle bound to move on a surface shaped as a helical tube. We derive and discuss the governing Schrödinger e…
Qubits from tight knots and bent nano-bars
Victor Atanasov, Rossen Dandoloff
We propose a novel mechanism for creating a qubit based on a tight knot, that is a nano-quantum wire system so small and so cold as to be quantum coherent with respect to curvature…