5 papers
Time evolution of superoscillations for the Schrödinger equation in
Peter Schlosser
In the context of quantum mechanics superoscillations, or the more general supershifts, appear as initial conditions of the time dependent Schrödinger equation. Already in \cite{AB…
A unified approach to Schrödinger evolution of superoscillations and supershifts
Yakir Aharonov, Jussi Behrndt, Fabrizio Colombo +1
Superoscillating functions and supershifts appear naturally in weak measurements in physics. Their evolution as initial conditions in the time dependent Schrödinger equation is an…
Green's Function for the Schrödinger Equation with a Generalized Point Interaction and Stability of Superoscillations
Yakir Aharonov, Jussi Behrndt, Fabrizio Colombo +1
In this paper we study the time dependent Schrödinger equation with all possible self-adjoint singular interactions located at the origin, which include the and -potentials…
Schrödinger evolution of superoscillations with - and -potentials
Yakir Aharonov, Jussi Behrndt, Fabrizio Colombo +1
In this paper we study the time persistence of superoscillations as the initial data of the time dependent Schrödinger equation with - and -potentials. It is shown that the…
Quasi boundary triples, self-adjoint extensions, and Robin Laplacians on the half-space
Jussi Behrndt, Peter Schlosser
In this note self-adjoint extensions of symmetric operators are investigated by using the abstract technique of quasi boundary triples and their Weyl functions. The main result is…