A THEOREM ON FOURIER INTEGRALS AND AN APPLICATION TO THE THEORY OF MEASUREMENT IN QUANTUM MECHANICS

Abstract

It is shown that a complex function of one real variable is determined uniquely up to a constant phase factor by its absolute value and the absolute values of Fourier transforms of the function and certain related functions. An application is given to the determination of the state function in quantum mechanics from the measurements of certain probability distributions of position and momentum.

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Document Details

Document Type
Technical Report
Publication Date
Feb 05, 1963
Accession Number
AD0296789

Entities

People

  • Harry E. Moses

Organizations

  • Massachusetts Institute of Technology

Tags

DTIC Thesaurus Topics

  • Abstracts
  • Equations
  • Government Procurement
  • Integrals
  • Intervals
  • Massachusetts
  • Measurement
  • Mechanics
  • Momentum
  • New Jersey
  • New York
  • Particles
  • Probability
  • Probability Distributions
  • Quantum Mechanics
  • Real Variables

Fields of Study

  • Mathematics

Readers

  • Approximation Theory.
  • Quantum spin resonance or Electron Paramagnetic Resonance spectroscopy.

Technology Areas

  • Quantum Computing