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Images of TimeMind, Science, Reality$
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George Jaroszkiewicz

Print publication date: 2016

Print ISBN-13: 9780198718062

Published to Oxford Scholarship Online: January 2016

DOI: 10.1093/acprof:oso/9780198718062.001.0001

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Time and quanta

Time and quanta

Chapter:
(p.248) 24 Time and quanta
Source:
Images of Time
Author(s):

George Jaroszkiewicz

Publisher:
Oxford University Press
DOI:10.1093/acprof:oso/9780198718062.003.0024

This chapter reviews the role of time as a parameter in quantum mechanics, rather than a dynamical variable. To emphasize this role, the chapter discusses the relationship between the Schrödinger picture and the Heisenberg picture in quantum mechanics. The chapter discusses the issues with the superluminal speed of de Broglie waves in quantum wave mechanics. A review of quantum uncertainty relations is given followed by an application to time and energy. The chapter discusses Pauli’s theorem and comment on the need to interpret the time–energy uncertainty relation contextually, taking into account the fact that time is not a dynamical variable. The chapter finishes with a discussion of a potential clash between relativity and quantum mechanics when the quantum propagator for a relativistic point particle is calculated via a Feynman path integral.

Keywords:   quantum mechanics, Schrödinger picture, Heisenberg picture, de Broglie waves, time-energy uncertainty, Pauli’s theorem, relativistic particle propagator, Feynman path integral

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