Multiple internal reflections during particle and photon tunneling

Year: 2006

Authors: Cardone F., Maidanyuk S.P., Mignani R., Olkhovsky V.S.

Autors Affiliation: CNR – Istituto per lo Studio dei Materiali Nanostrutturati, Via dei taurini 18, 00185 Roma. Italy;
CNR – Istituto Nazionale di Ottica Apllicata, Largo E. Fermi 6, 50125 Firenze, Italy;
Institute for Nuclear research National Academy of sciences of Ukraine, 47 Nauky Pr., Kyev, Ukraine;
Dipartimento di Fisica “E. Amaldi”, Università Roma Tre, Via della vasca Navale 84, Roma Italy;
INFM, sezione di Roma III

Abstract: We discuss the time analysis of multiple internal reflections during one-dimensional tunneling of non-relativistic particles and photons with sub-barrier energies through potential barriers. The approach exploited is a simple analytic continuation from real (over-barrier) wave numbers to imaginary (sub-barrier) wave numbers. It is shown in particular that not only the general effective tunneling velocity, but also every effective transmission (tunneling) velocity for at least the first intermediate stage between successive internal reflections is superluminal. An interpretation of this seemingly strange fact is given in terms of an effective deformation of spacetime inside the barrier. The results obtained are interpreted with the help of the Fourier expansion over the virtual momentum space. A comparison with the instanton approach is also made.

Journal/Review: FOUNDATIONS OF PHYSICS LETTERS

Volume: 19 (5)      Pages from: 441  to: 457

KeyWords: tunneling; multiple internal reflections; superluminality; spaceteime deformation;
DOI: 10.1007/s10702-006-0903-y

Citations: 13
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