Tunnelling effects of a Gaussian wave packet impinging on a barrier

• Autorzy: Papadopoulos George J.

Identyfikatory

DOI

10.34808/tq2020/24.1/f

• Języki publikacji: EN

Abstrakty

EN

A general procedure based on momentum-like quantity provides the reflection and transmission amplitudes for a given barrier sandwiched by semiconductor reservoirs is presented. Furthermore, the evolution of the wave function stemming from an initial Gaussian wave packet located on the left hand side of the barrier with ignorable barrier overlap is obtained. The evolving wave function enables obtaining the associated probability and current densities space and time-wise. As application, the case of smooth double barrier is considered. The numerical results exhibit similar picture as obtained via propagator in the limited case of square barrier, e.g. repeated current density reversal at the barrier entrance, while being unidirectional at the exit. Presently, the treatment takes account of any barrier, inclusive of applied voltage. The basic quantity required is the value of the momentum-like quantity at the barrier entrance, which is obtained solving a Riccati equation governing the quantity, in question, whose value is known at the barrier exit in terms of the carrier energy and applied bias.

Słowa kluczowe

EN

quantum tunnelling; Gaussiam wave packet; potential barrier

PL

tunelowanie kwantowe; fale Gaussama; potencjalna bariera

• Wydawca: Politechnika Gdańska
• Czasopismo: TASK Quarterly : scientific bulletin of Academic Computer Centre in Gdansk
• Rocznik: 2020
• Tom: Vol. 24, No 1
• Strony: 83--91
• Opis fizyczny: Bibliogr. 8 poz., rys.

Twórcy

autor

Papadopoulos George J.

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

Bibliografia

• [1] Papadopoulos G J 2015 Task Quarterly19 63
• [2] Goldberg A L Schey H M and Schwartz J J 1967 App. J. Phys. 35 177
• [3] Petrillo V and Olkhovsky V S 2005 CEJP 3 339
• [4] Perez Prieto A L, Brourd S and Muga J G 2003 J. Phys. A Math. Gen.36 2371
• [5] De Aguiar M A M 1993 Phys. Rev.A 48 2567
• [6] Papadopoulos G J 1990 J. Phys. A Math. Gen. 23 935
• [7] Lozovik Yu E and Filinov A V 1999 Zh. Eksp. Teor. Fiz 115 1872
• [8] Papadopoulos G J 2011 Materials Science-Poland 29 266

Uwagi

PL

Opracowanie rekordu ze środków MNiSW, umowa Nr 461252 w ramach programu "Społeczna odpowiedzialność nauki" - moduł: Popularyzacja nauki i promocja sportu (2021).