Wave and Particle Limit for Multiple Barrier Tunneling

Details Wave and Particle Limit for Multiple Barrier Tunneling Wave and Particle Limit for Multiple Barrier Tunneling

2011-10-11

arxiv.org/abs/1110.2433v1

Journal of Physics A 44, 435305-15 (2011)

Physics

Quantum Physics

15 pages, 3 figures

Scientific paper

The particle approach to one-dimensional potential scattering is applied to non relativistic tunnelling between two, three and four identical barriers. We demonstrate as expected that the infinite sum of particle contributions yield the plane wave results. In particular, the existence of resonance/transparency for twin tunnelling in the wave limit is immediately obvious. The known resonances for three and four barriers are also derived. The transition from the wave limit to the particle limit is exhibit numerically.

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