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arXiv · 1501.07483

Asymptotic formula for quantum harmonic oscillator tunneling probabilities

Arkadiusz Jadczyk
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Abstract

Using simple methods of asymptotic analysis it is shown that for a quantum harmonic oscillator in n-th energy eigenstate the probability of tunneling into the classically forbidden region obeys an unexpected but simple asymptotic formula: the leading term is inversely proportional to the cube root of n.

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Arkadiusz Jadczyk. 2015-03-03. Asymptotic formula for quantum harmonic oscillator tunneling probabilities. https://doi.org/10.1016/s0034-4877(15)30025-2

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