# Is the molecular Berry phase an artifact of the Born-Oppenheimer approximation?

Source: [Is the molecular Berry phase an artifact of the Born-Oppenheimer approximation?](<https://www.sota2.com/research/paper/68fa31301e209131ce87c900>)

Collection index: [llms.txt](<https://www.sota2.com/research/llms.txt>)

Data updated: 2025-10-24T18:42:00.869Z

Authors: S. K. Min, A. Abedi, K. S. Kim, E.K.U. Gross

Published: 2014-02-02T18:23:19.000Z

## Abstract

We demonstrate that the molecular Berry phase and the corresponding non-analyticity in the electronic Born-Oppenheimer wavefunction is, in general, not a true topological feature of the exact solution of the full electron-nuclear Schr\\"odinger equation. For a numerically exactly solvable model we show that a non-analyticity, and the associated geometric phase, only appear in the limit of infinite nuclear mass, while a perfectly smooth behavior is found for any finite nuclear mass.

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## Original sources and implementation

[Original paper](<https://arxiv.org/abs/1402.0227>)

[PDF](<https://arxiv.org/pdf/1402.0227.pdf>)