1997European Journal of PhysicsOpen access

Tunnelling and the transition amplitude

J. C. Martínez

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Abstract

The phenomenon of particle tunnelling through a modified cubic potential is studied by focusing on the transition amplitude instead of the wavefunction, as is done in the usual WKB approach. The Green function, decay width and transmission probability for the tunnelling of localized wavepackets are computed within this framework. Resumen. La horadacion de una particula por media de una potencial de forma cubica es estuadiada por enfocando al amplitud de transicion en vez de function de onda como en el motodo de WKB. La function de Green, anchura de decaer y probabilidad de transmision estan computadas dentro de esta armazon.

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The phenomenon of particle tunnelling through a modified cubic potential is studied by focusing on the transition amplitude instead of the wavefunction, as is done in the usual WKB approach. The Green function, decay width and transmission probability for the tunnelling of localized wavepackets are computed within this framework. Resumen. La horadacion de una particula por media de una potencial de forma cubica es estuadiada por enfocando al amplitud de transicion en vez de function de onda como en el motodo de WKB. La function de Green, anchura de decaer y probabilidad de transmision estan computadas dentro de esta armazon.

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Available abstract

The phenomenon of particle tunnelling through a modified cubic potential is studied by focusing on the transition amplitude instead of the wavefunction, as is done in the usual WKB approach. The Green function, decay width and transmission probability for the tunnelling of localized wavepackets are computed within this framework. Resumen. La horadacion de una particula por media de una potencial de forma cubica es estuadiada por enfocando al amplitud de transicion en vez de function de onda como en el motodo de WKB. La function de Green, anchura de decaer y probabilidad de transmision estan computadas dentro de esta armazon.

Key concepts: WKB approximation, Quantum tunnelling, Physics, Amplitude, Wave function, Quantum mechanics, Function (biology), Transmission (telecommunications)

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