Yakir Aharonov
Current Organizations / Institutes
The organizations/institutes from the scholar's latest article
Previous Organizations / Institutes
The organizations / institutes from the scholar's other articles in the past ten years
Yakir Aharonov has a total of 21 co-authors. Here are the top co-authors by number of shared publications:
- Fabrizio Colombo
Dipartimento di Matematica, Politecnico di Milano, Milano, Italy
10 shared publications - Daniele C. Struppa
Chapman University
5 shared publications - Irene Sabadini
Politecnico di Milano
5 shared publications - Jeff Tollaksen
Chapman University
5 shared publications - Jussi Behrndt
Institut für Angewandte Mathematik, Technische Universität Graz, Graz, Austria
5 shared publications - Peter Schlosser
Institute of Applied Mathematics, Graz University of Technology, Graz, Austria
5 shared publications
Latest Publications
- 11 August 2026
- Published by Springer Nature
- p. 2809-2834
Introduction to Superoscillations: Past and Present
- 11 August 2026
- Published by Springer Nature
- p. 2809-2834
Introduction to Superoscillations: Past and Present
- 24 August 2025
- Published by Springer Nature
- p. 1-26
Introduction to Superoscillations: Past and Present
- 24 August 2025
- Published by Springer Nature
- p. 1-26
Introduction to Superoscillations: Past and Present
- Open Access
- 27 July 2022
- Published by Springer Nature in Quantum Studies: Mathematics and Foundations
- Vol. 9 (4) , 417-433
On superoscillations and supershifts in several variables
The aim of this paper is to study a class of superoscillatory functions in several variables, removing some restrictions on the functions that we introduced in a previous paper. Since the tools that we used with our approach are not common knowledge we will give detailed proof for the case of two variables. The results proved for superoscillatory functions in several variables can be further extended to supershifts in several variables.
- 27 July 2022
- Published by Springer Nature in Quantum Studies: Mathematics and Foundations
- Vol. 9 (4) , 417-433
Open AccessOn superoscillations and supershifts in several variables
The aim of this paper is to study a class of superoscillatory functions in several variables, removing some restrictions on the functions that we introduced in a previous paper. Since the tools that we used with our approach are not common knowledge we will give detailed proof for the case of two variables. The results proved for superoscillatory functions in several variables can be further extended to supershifts in several variables.
- Open Access
- 14 March 2022
- Published by Springer Nature in Journal of Evolution Equations
- Vol. 22 (1) , 1-31
A unified approach to Schrödinger evolution of superoscillations and supershifts
Superoscillating functions and supershifts appear naturally in weak measurements in physics. Their evolution as initial conditions in the time-dependent Schrödinger equation is an important and challenging problem in quantum mechanics and mathematical analysis. The concept that encodes the persistence of superoscillations during the evolution is the (more general) supershift property of the solution. In this paper, we give a unified approach to determine the supershift property for the solution of the time-dependent one-dimensional Schrödinger equation. The main advantage and novelty of our results is that they only require suitable estimates and regularity assumptions on the Green’s function, but not its explicit form. With this efficient general technique, we are able to treat various potentials.
- 14 March 2022
- Published by Springer Nature in Journal of Evolution Equations
- Vol. 22 (1) , 1-31
Open AccessA unified approach to Schrödinger evolution of superoscillations and supershifts
Superoscillating functions and supershifts appear naturally in weak measurements in physics. Their evolution as initial conditions in the time-dependent Schrödinger equation is an important and challenging problem in quantum mechanics and mathematical analysis. The concept that encodes the persistence of superoscillations during the evolution is the (more general) supershift property of the solution. In this paper, we give a unified approach to determine the supershift property for the solution of the time-dependent one-dimensional Schrödinger equation. The main advantage and novelty of our results is that they only require suitable estimates and regularity assumptions on the Green’s function, but not its explicit form. With this efficient general technique, we are able to treat various potentials.
- Open Access
- 1 March 2021
- Published by Elsevier in Journal of Differential Equations
- Vol. 277, 153-190
Green's function for the Schrödinger equation with a generalized point interaction and stability of superoscillations
- 1 March 2021
- Published by Elsevier in Journal of Differential Equations
- Vol. 277, 153-190
Open AccessGreen's function for the Schrödinger equation with a generalized point interaction and stability of superoscillations
- Open Access
Green's Function for the Schrödinger Equation with a Generalized Point Interaction and Stability of Superoscillations
In this paper we study the time dependent Schr\"odinger equation with all possible self-adjoint singular interactions located at the origin, which include the $\delta$ and $\delta'$-potentials as well as boundary conditions of Dirichlet, Neumann, and Robin type as particular cases. We derive an explicit representation of the time dependent Green's function and give a mathematical rigorous meaning to the corresponding integral for holomorphic initial conditions, using Fresnel integrals. Superoscillatory functions appear in the context of weak measurements in quantum mechanics and are naturally treated as holomorphic entire functions. As an application of the Green's function we study the stability and oscillatory properties of the solution of the Schr\"odinger equation subject to a generalized point interaction when the initial datum is a superoscillatory function.Open AccessGreen's Function for the Schrödinger Equation with a Generalized Point Interaction and Stability of Superoscillations
In this paper we study the time dependent Schr\"odinger equation with all possible self-adjoint singular interactions located at the origin, which include the $\delta$ and $\delta'$-potentials as well as boundary conditions of Dirichlet, Neumann, and Robin type as particular cases. We derive an explicit representation of the time dependent Green's function and give a mathematical rigorous meaning to the corresponding integral for holomorphic initial conditions, using Fresnel integrals. Superoscillatory functions appear in the context of weak measurements in quantum mechanics and are naturally treated as holomorphic entire functions. As an application of the Green's function we study the stability and oscillatory properties of the solution of the Schr\"odinger equation subject to a generalized point interaction when the initial datum is a superoscillatory function. - 23 March 2020
- Published by Springer Nature in Milan Journal of Mathematics
- Vol. 88 (1) , 171-189
Evolution of Superoscillations in the Klein-Gordon Field
- 23 March 2020
- Published by Springer Nature in Milan Journal of Mathematics
- Vol. 88 (1) , 171-189
Evolution of Superoscillations in the Klein-Gordon Field
- 4 February 2020
- Published by Elsevier in Annals of Physics
- Vol. 414, 168088
How superoscillating tunneling waves can overcome the step potential
- 4 February 2020
- Published by Elsevier in Annals of Physics
- Vol. 414, 168088
How superoscillating tunneling waves can overcome the step potential
- Open Access
- 13 December 2019
- Published by Springer Nature in Quantum Studies: Mathematics and Foundations
- Vol. 7 (3) , 293-305
Schrödinger evolution of superoscillations with $\delta $- and $\delta '$-potentialsIn this paper, we study the time persistence of superoscillations as the initial data of the time-dependent Schrödinger equation with $$\delta $$ - and $$\delta '$$ -potentials. It is shown that the sequence of solutions converges uniformly on compact sets, whenever the initial data converge in the topology of the entire function space $$A_1(\mathbb {C})$$ . Convolution operators acting in this space are our main tool. In particular, a general result about the existence of such operators is proven. Moreover, we provide an explicit formula as well as the large time asymptotics for the time evolution of a plane wave under $$\delta $$ - and $$\delta '$$ -potentials.- 13 December 2019
- Published by Springer Nature in Quantum Studies: Mathematics and Foundations
- Vol. 7 (3) , 293-305
Open AccessSchrödinger evolution of superoscillations with $\delta $- and $\delta '$-potentialsIn this paper, we study the time persistence of superoscillations as the initial data of the time-dependent Schrödinger equation with $$\delta $$ - and $$\delta '$$ -potentials. It is shown that the sequence of solutions converges uniformly on compact sets, whenever the initial data converge in the topology of the entire function space $$A_1(\mathbb {C})$$ . Convolution operators acting in this space are our main tool. In particular, a general result about the existence of such operators is proven. Moreover, we provide an explicit formula as well as the large time asymptotics for the time evolution of a plane wave under $$\delta $$ - and $$\delta '$$ -potentials. - Open Access
Schrödinger evolution of superoscillations with $δ$- and $δ'$-potentials
In this paper we study the time persistence of superoscillations as the initial data of the time dependent Schr\"odinger equation with $\delta$- and $\delta'$-potentials. It is shown that the sequence of solutions converges uniformly on compact sets, whenever the initial data converges in the topology of the entire function space $A_1(\mathbb{C})$. Convolution operators acting in this space are our main tool. In particular, a general result about the existence of such operators is proven. Moreover, we provide an explicit formula as well as the large time asymptotics for the time evolution of a plane wave under $\delta$- and $\delta'$-potentials.Open AccessSchrödinger evolution of superoscillations with $δ$- and $δ'$-potentials
In this paper we study the time persistence of superoscillations as the initial data of the time dependent Schr\"odinger equation with $\delta$- and $\delta'$-potentials. It is shown that the sequence of solutions converges uniformly on compact sets, whenever the initial data converges in the topology of the entire function space $A_1(\mathbb{C})$. Convolution operators acting in this space are our main tool. In particular, a general result about the existence of such operators is proven. Moreover, we provide an explicit formula as well as the large time asymptotics for the time evolution of a plane wave under $\delta$- and $\delta'$-potentials.