Real time quantum tunneling

• Autorzy: Papadopoulos G. J.
• Języki publikacji: EN

Abstrakty

EN

The time evolution of the probability and current densities stemming from an initial tate of a particle in the form of a wave packet on the left hand side of a square barrier is studied. In particular, the space distribution at a given time of the above densities is given. Furthermore, the evolution in time at the entrance and exit of the barrier is given. The numerical results show repeated reversal in the current density at the barrier entrance, while being unidirectional at the exit. However, the probability entering the barrier over a long time equals the corresponding probability exiting the barrier. Owing to the fact that the wave packet expands on both of its sides, as time goes by, it is possible to have transmission even if the particle’s initial momentum points away from the barrier. The effect, in question, becomes evident in a diagram for the transmission coefficient in terms of the particle initial momentum, over a relatively small region.

Słowa kluczowe

EN

quantum tunneling; square barrier propagator; transmission coefficient

• Wydawca: Politechnika Gdańska
• Czasopismo: TASK Quarterly : scientific bulletin of Academic Computer Centre in Gdansk
• Rocznik: 2015
• Tom: Vol. 19, No 1
• Strony: 65--74
• Opis fizyczny: Bibliogr. 5 poz., rys.

Twórcy

autor

Papadopoulos G. J.

• Department of Physics, Solid State Physics Section, National and Kapodistrian University of Athens, Panepistimiopolis, 15 784 Zografou, Athens, Greece

Bibliografia

• [1] Goldberg A, Schey H M and Schwartz J J 1967 App. J. Phys. 35 177
• [2] Perez Prieto A L, Brouard S and Muga J G 2003 J. Phys. A Math. Gen 36 2371
• [3] De Aguiar M A M 1993 Phys. Rev. A 48 2567
• [4] Papadopoulos G J 1990 J. Phys A Math. Gen 23 935
• [5] Lezovik Yu E and Filinov A V 1999 Zh. Eksp. Teor. Fiz. 115 1872