Time and quantum theory: A history and a prospectus

Studies in History and Philosophy of Science Part B: Studies in History and Philosophy of Modern Physics 52 (Part A):24-38 (2015)
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Abstract

In this paper I am concerned with analyzing in detail how ideas and expectations regarding the role of time in quantum theory arose and evolved in the early years of quantum mechanics. The general theme is that expectations which seemed reasonable from the point of view of matrix mechanics and Dirac's q-number formalism became implausible in light of Dirac-Jordan transformation theory, and were dashed by von Neumann's Hilbert space formalism which came to replace it. Nonetheless, I will identify two concerns that remain relevant today, and which blunt the force of Hilgevoord's claim that the demand that time feature as an observable arose as the result of a simple conceptual error.

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Thomas Pashby
University of Chicago

Citations of this work

Response to Dr. Pashby: Time operators and POVM observables in quantum mechanics.Gordon N. Fleming - 2015 - Studies in History and Philosophy of Science Part B: Studies in History and Philosophy of Modern Physics 52 (Part A):39-43.

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References found in this work

The classical roots of wave mechanics: Schrödinger's transformations of the optical-mechanical analogy.Christian Joas & Christoph Lehner - 2009 - Studies in History and Philosophy of Science Part B: Studies in History and Philosophy of Modern Physics 40 (4):338-351.
Time in Quantum Mechanics.Jan Hilgevoord & David Atkinson - 2001 - In Craig Callender (ed.), The Oxford Handbook of Philosophy of Time. Oxford University Press.
Time in quantum mechanics: a story of confusion.Jan Hilgevoord - 2005 - Studies in History and Philosophy of Science Part B: Studies in History and Philosophy of Modern Physics 36 (1):29-60.

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