Callender, Craig (2024) Insights into Quantum Time Reversal from the Classical Schrödinger Equation. [Preprint]

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Abstract

The need to implement time reversal via complex conjugation in quantum theory has always been a bit of a puzzle. Why should i go to -i under temporal reflection when it has no spatiotemporal dimensions? I’ll provide a new insight into this question by showing how the little-appreciated “quantum-looking” classical Schrodinger equation of Schiller and Rosen faces the exact same problem. Since we know how to escape this problem classically, this observation teaches us one way to solve the problem quantum mechanically too. Big picture: if I’m right, the puzzle over quantum time reversal is connected to the interpretation of quantum theory.

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Item Type:	Preprint
Creators:	Creators Email ORCID Callender, Craig ccallender@ucsd.edu 0000-0002-9192-0018
Additional Information:	Forthcoming in The Arrow of Time: From Local Systems to the Whole Universe edited by Olimpia Lombardi; Cristian Lopez, Cambridge University Press.
Keywords:	quantum mechanics time time reversal statistical mechanics
Subjects:	Specific Sciences > Physics > Quantum Mechanics Specific Sciences > Physics > Symmetries/Invariances
Depositing User:	Craig Callender
Date Deposited:	12 Sep 2024 12:52
Last Modified:	12 Sep 2024 12:52
Item ID:	23906
Subjects:	Specific Sciences > Physics > Quantum Mechanics Specific Sciences > Physics > Symmetries/Invariances
Date:	2024
URI:	https://philsci-archive.pitt.edu/id/eprint/23906

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