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20132023
most citedIntegral representation of superoscillations via complex Borel measures and their convergence

1 citations · 1 across the 8 of their papers we have counts for

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8 papers

math-ph2023★ 1 cited

Integral representation of superoscillations via complex Borel measures and their convergence

Jussi Behrndt, Fabrizio Colombo, Peter Schlosser +1

In the last decade there has been a growing interest in superoscillations in various fields of mathematics, physics and engineering. However, while in applications as optics the lo…

math-ph2022

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…

math.SP2021

Schrödinger operators with -potentials supported on unbounded Lipschitz hypersurfaces

Jussi Behrndt, Vladimir Lotoreichik, Peter Schlosser

In this note we consider the self-adjoint Schrödinger operator in , , with a -potential supported on a Lipschitz hypersurface $Σ\subse…

math.AP2021

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…

math.AP2020

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…

math-ph2019

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…

math.SP2018

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…

physics.geo-ph2013

Tracer Applications of Noble Gas Radionuclides in the Geosciences

Z. -T. Lu, P. Schlosser, W. M. Smethie +8

The noble gas radionuclides, including 81Kr (half-life = 229,000 yr), 85Kr (11 yr), and 39Ar (269 yr), possess nearly ideal chemical and physical properties for studies of earth an…