What is it about?
Many systems in nature can be separated into slow and fast components. The standard framework for describing such time-scale-separated systems is the Born-Oppenheimer approximation, which assumes that fast components instantly adjust to the motion of the slow ones. In this work, we introduce a framework that systematically extends this approximation and reveals new phenomena.
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Why is it important?
Many real-world systems operate beyond the limits of the Born-Oppenheimer approximation. Our work provides a systematic way to describe this regime, enables more accurate modeling of molecular dynamics, and offers opportunities for quantum control and state preparation.
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This page is a summary of: The moving Born–Oppenheimer approximation, Proceedings of the National Academy of Sciences, February 2026, Proceedings of the National Academy of Sciences,
DOI: 10.1073/pnas.2507816123.
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