Callender, Craig (2020) Quantum Mechanics: Keeping It Real? [Preprint]

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Abstract

It is well-known that Schrödinger wanted to interpret the quantum wavefunction ψ as representing a continuous distribution of charge traveling through three-dimensional space. What is less appreciated is that Schrödinger also originally desired that his wavefunction be represented by a real-valued function and not a complex one. This paper is an introduction to and advertisement of Schrödinger’s 4th-order real wave equation, the first published time dependent Schrödinger equation. I introduce two ways of interpreting this equation and show how this equation provides insight into quantum time reversal invariance. My hope is that readers will find other examples where “keeping it real” can help.

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Item Type:	Preprint
Creators:	Creators Email ORCID Callender, Craig ccallender@ucsd.edu
Additional Information:	Rough draft. Comments welcome.
Keywords:	wavefunction, real-valued, complex, Schrödinger, quantum theory
Subjects:	General Issues > Laws of Nature Specific Sciences > Physics Specific Sciences > Physics > Quantum Mechanics
Depositing User:	Craig Callender
Date Deposited:	12 Aug 2020 02:04
Last Modified:	12 Aug 2020 02:04
Item ID:	17701
Subjects:	General Issues > Laws of Nature Specific Sciences > Physics Specific Sciences > Physics > Quantum Mechanics
Date:	23 July 2020
URI:	https://philsci-archive.pitt.edu/id/eprint/17701

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• Quantum Mechanics: Keeping It Real? (deposited 24 Jul 2020 03:34)
  • Quantum Mechanics: Keeping It Real? (deposited 12 Aug 2020 02:04) [Currently Displayed]

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