caa a22 4500 475821963 CHVBK 20180406123821.0 cr unu---uuuuu 170329e20001201xx s 000 0 eng 10.1023/A:1011363932345 doi (NATIONALLICENCE)springer-10.1023/A:1011363932345 Phase Times of Electron Passage through the Self-Similar Fractal Potential [Elektronische Daten] [N. Chuprikov, D. Zhabin] Within the framework of the method developed previously for studying electron tunneling through the self-similar fractal potential (SFP), functional equations are derived for "phase tunneling times” (PTT). Their analysis shows that in the case of the SFP, the PTT cannot be interpreted as a dwell time of the particle in the barrier region. In particular, it turns out that the PTT through SFP barriers is negative for the short-wavelength region. This is also the case for SFP wells and electrons with arbitrary energy. It is shown that for the limiting SFP, when the fractal dimensionality is equal to unity, the PTT coincide with those for the δ-potential of the same power. Thus, the PTT are independent of the barrier width for the limiting SFP. This extraordinary result is caused by the fact that, as demonstrated previously, the probability that the electron with exactly preset energy is found inside the limiting SFP is equal to zero. Plenum Publishing Corporation, 2000 Chuprikov N. Tomsk State University, Russia aut Zhabin D. Tomsk State University, Russia aut Russian Physics Journal Kluwer Academic Publishers-Plenum Publishers 43/12(2000-12-01), 1033-1037 1064-8887 43:12<1033 2000 43 11182 https://doi.org/10.1023/A:1011363932345 text/html Onlinezugriff via DOI 1 research-article jats NATIONALLICENCE 856 40 https://doi.org/10.1023/A:1011363932345 text/html Onlinezugriff via DOI NATIONALLICENCE 700 1- Chuprikov N. Tomsk State University, Russia aut NATIONALLICENCE 700 1- Zhabin D. Tomsk State University, Russia aut NATIONALLICENCE 773 0- Russian Physics Journal Kluwer Academic Publishers-Plenum Publishers 43/12(2000-12-01), 1033-1037 1064-8887 43:12<1033 2000 43 11182 Metadata rights reserved Springer special CC-BY-NC licence nationallicence BK010053 XK010053 XK010000 NATIONALLICENCE NATIONALLICENCE NL-springer