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Quantum Physics

Title: Double well ground state energy splitting (or instanton flipping rate); rendering the implicit explicit

Authors: J. H. Hannay
Abstract: A prime example of quantum tunnelling is the semiclassical 'energy splitting' of the levels of a symmetrical double well potential, or equivalently the flipping rate of an instanton. Curiously the accepted expression for the ground state energy splitting in terms of the (smooth) potential function has not been pursued to the full explicitness available from classical mechanics. This implicitness is rectified here.
Subjects: Quantum Physics (quant-ph)
Cite as: arXiv:2403.18050 [quant-ph]
  (or arXiv:2403.18050v1 [quant-ph] for this version)

Submission history

From: John Hannay [view email]
[v1] Tue, 26 Mar 2024 19:06:53 GMT (179kb)

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