Can I read Quantum-Mechanical Histories and the Uncertainty Principle: I.Information-Theoretic Inequalities on EtoBox?

Quantum-Mechanical Histories and the Uncertainty Principle: I.Information-Theoretic Inequalities by Halliwell, J. J. is a scholarly article available to read on EtoBox.

What is Quantum-Mechanical Histories and the Uncertainty Principle: I.Information-Theoretic Inequalities about?

This paper is generally concerned with understanding how the uncertainty principle arises in formulations of quantum mechanics, such as the decoherent histories approach, whose central goal is the assignment of probabilities to histories. We first consider histories characterized by position or momentum projections at two moments of time. Both exact and approximate (Gaussian) projections are studied. Shannon information is used as a measure of the uncertainty expressed in the probabilities for these histories. We derive a number of inequalities in which the uncertainty principle is expressed as a lower bound on the information of phase space distributions derived from the probabilities for two-time histories. We go on to consider histories characterized by position samplings at $n$ moments of time. We derive a lower bound on the information of the joint probability for $n$ position samplings. Similar bounds are derived for histories characterized by samplings of other variables. All lower bounds on the information of histories have the general form $\ln \left( V_H / V_S \right) $, where $V_H$ is a volume element of history space, which we define, and $V_S$ is the volume of that spa

Author

Halliwell, J. J.

Published

1993

Language

EN