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

arXiv
Authors: Nick Huggett, James Ladyman, Karim P. Y. Thébault

Year

2024

Paper ID

37283

Status

Preprint

Abstract Read

~2 min

Abstract Words

98

Citations

N/A

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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  • Philosophers have claimed that: (a) the Born-Oppenheimer approximation methods for solving molecular Schrödinger equations violate the Heisenberg uncertainty relations...

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