170 citations · 485 across the 30 of their papers we have counts for
31 papers
Quantum geometric potential induced conformational transitions in elastic helical nanoribbons
Radha Balakrishnan, Rossen Dandoloff, Avadh Saxena
We consider an {\em elastic} helical nanoribbon that can take on various conformations, and study the effect of placing a quantum particle on its curved surface. Using a modified C…
Particle localization on helical nanoribbons: Quantum analog of the Coriolis effect
Radha Balakrishnan, Rossen Dandoloff, Victor Atanasov +1
We derive the Schrödinger equation for a particle confined to the surface of a normal and a binormal helical nanoribbon, obtain the quantum potentials induced by their respective c…
Twisted curve geometry underlying topological invariants
Radha Balakrishnan, Rossen Dandoloff, Avadh Saxena
Topological invariants such as winding numbers and linking numbers appear as charges of topological solitons in diverse nonlinear physical systems described by a unit vector field…
Exact Hopfion Vortices in a 3D Heisenberg Ferromagnet
Radha Balakrishnan, Rossen Dandoloff, Avadh Saxena
We find exact static soliton solutions for the unit spin vector field of an inhomogeneous, anisotropic three-dimensional Heisenberg ferromagnet. Each soliton is labeled by two inte…
Wormhole as a Waveguide: Case of Quantum Particles with Zero Angular Momentum
Victor Atanasov, Rossen Dandoloff, Avadh Saxena
We consider a static wormhole as a waveguide and determine the conditions for full transmission through the wormhole waveguide for a quantum particle with zero angular momentum. We…
Topologically stable states of the geometric quantum potential
Victor Atanasov, Rossen Dandoloff
We map the geometric quantum potential on the nonlinear sigma model and use homotopy to estimate the lower bound of the geometric quantum potential. We investigate a catenoid (worm…