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Measurements and Amplitudes

  • Stanley Gudder
Conference paper
Part of the Fundamental Theories of Physics book series (FTPH, volume 24)

Abstract

We present a framework for quantum mechanics based on the concepts of measurements and amplitudes. The measurements are represented by functions and therefore commute. The interference effects characteristic of quantum mechanics are caused by the fact that probabilities are computed using am-plitude functions. Moreover, in order to consider inexact measurements we define fuzzy (or nonsharp) amplitudes. We also study measurements that satisfy a positivity condition and that axe covariant relative to a symmetry group. It is shown that the framework includes stochastic quantum mechanics which in turn includes traditional Hilbert space quantum mechanics.

Keywords

Hilbert Space Stochastic Quantum Amplitude Density Additive Probability Measure Classical Statistical Theory 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

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Copyright information

© Kluwer Academic Publishers 1989

Authors and Affiliations

  • Stanley Gudder
    • 1
  1. 1.Department of Mathematics and Computer ScienceUniversity of DenverDenverUSA

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