The super Dirac δ function and its applications

Yakir Aharonov; Tomer Shushi

doi:10.1007/s40509-022-00274-0

The super Dirac δ function and its applications

Yakir Aharonov, Tomer Shushi

Department of Business Administration

Research output: Contribution to journal › Article › peer-review

1 Scopus citations

Abstract

We introduce and study the super Dirac delta function, which takes the form of a convex sum of delta functions with unique coefficients that produce a delta function that is arbitrary far from all the delta functions of the convex sum. We provide applications of the proposed distribution in von Neumann quantum measurements. Finally, we show that the results can be extended into arbitrary distribution functions.

Original language	English
Pages (from-to)	381-386
Number of pages	6
Journal	Quantum Studies: Mathematics and Foundations
Volume	9
Issue number	4
DOIs	https://doi.org/10.1007/s40509-022-00274-0
State	Published - 1 Nov 2022

Keywords

Dirac function
Fourier analysis
Quantum measurements
Superoscillations

ASJC Scopus subject areas

Atomic and Molecular Physics, and Optics
Mathematical Physics

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10.1007/s40509-022-00274-0

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AB - We introduce and study the super Dirac delta function, which takes the form of a convex sum of delta functions with unique coefficients that produce a delta function that is arbitrary far from all the delta functions of the convex sum. We provide applications of the proposed distribution in von Neumann quantum measurements. Finally, we show that the results can be extended into arbitrary distribution functions.

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The super Dirac δ function and its applications

Abstract

Keywords

ASJC Scopus subject areas

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