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arxiv: cond-mat/0003115 · v1 · submitted 2000-03-08 · ❄️ cond-mat · math-ph· math.MP· quant-ph

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Tunnel splittings for one dimensional potential wells revisited

Anupam Garg
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classification ❄️ cond-mat math-phmath.MPquant-ph
keywords potentialgroundproblemssplittingtunnelamendedanswersapplied
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The WKB and instanton answers for the tunnel splitting of the ground state in a symmetric double well potential are both reduced to an expression involving only the functionals of the potential, without the need for solving any auxilliary problems. This formula is applied to simple model problems. The prefactor for the splitting in the text book by Landau and Lifshitz is amended so as to apply to the ground and low lying excited states.

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  1. Thou shalt not tunnel: Complex instantons and tunneling suppression in deformed quantum mechanics

    hep-th 2026-02 unverdicted novelty 7.0

    Deformed quantum mechanics from Seiberg-Witten curves shows phases with real or complex instantons, leading to tunneling suppression at Toda points and anomalous scaling at critical monopole points.