5 papers
Curvature-induced bound states in quantum wires
Tim Bergmann, Benjamin Schwager, Jamal Berakdar
A classical particle under spatial constraints is strictly confined to live on a specific space manifold or path, but this assumption is incompatible with the zero-point fluctuatio…
Signatures of real-space geometry, topology, and metric tensor in quantum transport in periodically corrugated spaces
Benjamin Schwager, Theresa Appel, Jamal Berakdar
The motion of a quantum particle constrained to a two-dimensional non-compact Riemannian manifold with non-trivial metric can be described by a flat-space Schroedinger-type equatio…
Laser-Dressed States on Riemannian Manifolds: A Generalization of the Kramers-Henneberger Transformation
Hannah Bendin, Benjamin Schwager, Jamal Berakdar
Quantum particles under geometric constraints are sensitive to the geometry and topology of the underlying space. We analytically study the laser-driven nonlinear dynamics of a qua…
Quantum Scattering of Spinless Particles in Riemannian Manifolds
Lars Meschede, Benjamin Schwager, Dominik Schulz +1
Quantum mechanics is sensitive to the geometry of the underlying space. Here, we present a framework for quantum scattering of a non-relativistic particle confined to a two-dimensi…
Wigner time delay and Hartman effect in quantum motion along deformed Riemannian manifolds
Benjamin Schwager, Lars Meschede, Jamal Berakdar
Elastic scattering of a wave can be quantified by a shift in the phase with respect to the incoming wave phase. A qualitative measure of the time during which the effect occurs is…