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A Note on Quantum Theory, Complementarity, and Uncertainty

Published online by Cambridge University Press:  01 April 2022

Paul Busch  and
Pekka J. Lahti
Paul Busch
Affiliation:
Institute for Theoretical Physics, University of Cologne
Pekka J. Lahti
Affiliation:
Department of Physical Sciences, University of Turku
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Abstract

Uncertainty relations and complementarity of canonically conjugate position and momentum observables in quantum theory are discussed with respect to some general coupling properties of a function and its Fourier transform. The question of joint localization of a particle on bounded position and momentum value sets and the relevance of this question to the interpretation of position-momentum uncertainty relations is surveyed. In particular, it is argued that the Heisenberg interpretation of the uncertainty relations can consistently be carried through in a natural extension of the usual Hilbert space frame of the quantum theory.

Type
Research Article
Information
Philosophy of Science , Volume 52 , Issue 1 , March 1985 , pp. 64 - 77
Copyright
Copyright © 1985 by the Philosophy of Science Association

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