volume 76, issue 2, P149-158 2015
DOI: 10.1016/s0034-4877(15)30025-2
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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.