Classical trajectories and quantum tunneling

Boris Ivlev

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Classical trajectories and quantum tunneling

Boris Ivlev

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Abstract

The problem of inter-band tunneling in a semiconductor (Zener breakdown) in a nonstationary and homogeneous electric field is solved exactly. Using the exact analytical solution, the approximation based on classical trajectories is studied. A new mechanism of enhanced tunneling through static non-one-dimensional barriers is proposed in addition to well known normal tunneling solely described by a trajectory in imaginary time. Under certain conditions on the barrier shape and the particle energy, the probability of enhanced tunneling is not exponentially small even for non-transparent barriers, in contrast to the case of normal tunneling.

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Boris Ivlev. 2003-05-12. Classical trajectories and quantum tunneling. https://arxiv.org/abs/quant-ph/0305061

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