TY - JOUR
T1 - The super Dirac δ function and its applications
AU - Aharonov, Yakir
AU - Shushi, Tomer
N1 - Publisher Copyright:
© 2022, The Author(s) under exclusive license to Chapman University.
PY - 2022
Y1 - 2022
N2 - 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.
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.
KW - Dirac function
KW - Fourier analysis
KW - Quantum measurements
KW - Superoscillations
UR - http://www.scopus.com/inward/record.url?scp=85130680520&partnerID=8YFLogxK
U2 - 10.1007/s40509-022-00274-0
DO - 10.1007/s40509-022-00274-0
M3 - ???researchoutput.researchoutputtypes.contributiontojournal.article???
AN - SCOPUS:85130680520
SN - 2196-5609
JO - Quantum Studies: Mathematics and Foundations
JF - Quantum Studies: Mathematics and Foundations
ER -