The super Dirac δ function and its applications

Yakir Aharonov, Tomer Shushi

Research output: Contribution to journalArticlepeer-review

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 languageEnglish
JournalQuantum Studies: Mathematics and Foundations
DOIs
StateAccepted/In press - 1 Jan 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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