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On the Quantum Theory of Molecules: Rigour, Idealization, and Uncertainty

Huggett, Nick and Ladyman, James and Thebault, Karim P Y (2024) On the Quantum Theory of Molecules: Rigour, Idealization, and Uncertainty. [Preprint]

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Abstract

Philosophers have claimed that: (a) the Born-Oppenheimer approximation methods for solving molecular Schrödinger equations violate the Heisenberg uncertainty relations; therefore (b) so-called `quantum chemistry' is not fully quantum; and so (c) chemistry does not reduce to physics. This paper analyses the reasoning behind Born-Oppenheimer methods and shows that they are internally consistent and fully quantum mechanical, contrary to (a)-(c). Our analysis addresses important issues of mathematical rigour, physical idealisation, reduction, and classicality in the quantum theory of molecules, and we propose an agenda for the philosophy of quantum chemistry more solidly grounded in scientific practice.


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Item Type: Preprint
Creators:
CreatorsEmailORCID
Huggett, Nick
Ladyman, James
Thebault, Karim P Ykarim.thebault@gmail.com
Keywords: quantum chemistry; idealization; reduction; rigour
Subjects: Specific Sciences > Chemistry
General Issues > Models and Idealization
Specific Sciences > Physics > Quantum Mechanics
General Issues > Reductionism/Holism
Depositing User: Dr Karim Thebault
Date Deposited: 04 Nov 2024 13:00
Last Modified: 04 Nov 2024 13:00
Item ID: 24161
Subjects: Specific Sciences > Chemistry
General Issues > Models and Idealization
Specific Sciences > Physics > Quantum Mechanics
General Issues > Reductionism/Holism
Date: 4 November 2024
URI: https://philsci-archive.pitt.edu/id/eprint/24161

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