RSS feeds
РусскийEnglish
Issue 4, 2024
Volume year page
Issues Authors PACS Subscription For authors

Issues

 / 

1998

 / 

June

←  →

Special issue


Time, tunneling and turbulence


School of Physics and Astronomy, Tel Aviv University, Tel Aviv, Israel

This paper considers tunneling traversal time; tunneling through an alternating potential, its enhancement and its fractal (Hofstadter butterfly) and chaotic resonances; and Hartree liquid resonance tunneling and its (specifically quantum) instability and turbulence.

Fulltext pdf (248 KB)
Fulltext is also available at DOI: 10.1070/PU1998v041n06ABEH000402
PACS: 72.15.Rn, 72.80.Ng, 73.40.Gk (all)
DOI: 10.1070/PU1998v041n06ABEH000402
URL: https://ufn.ru/en/articles/1998/6/b/
000075347000002
Citation: Azbel’ M Ya "Time, tunneling and turbulence" Phys. Usp. 41 543–552 (1998)
BibTexBibNote ® (generic)BibNote ® (RIS)MedlineRefWorks

Оригинал: Азбель М Я «Время, туннелирование и турбулентность» УФН 168 613–623 (1998); DOI: 10.3367/UFNr.0168.199806b.0613

References (52) ↓ Cited by (12) Similar articles (3)

  1. See, e.g., (a) Hauge E H, Stovneng J A Rev. Mod. Phys. 61 917 (1989);
  2. (b) Landauer R, Martin Th Rev. Mod. Phys. 66 217 (1994)
  3. MacColl L A Phys. Rev. 40 621 (1932)
  4. Wigner E P Phys. Rev. 98 145 (1955)
  5. Buttiker M, Landauer R Phys. Rev. Lett. 49 1739 (1982); Phys. Scr. 32 429 (1985)
  6. See, e.g., Landauer R Nature (London) 341 567 (1989); Landauer R, Martin Th Solid State Commun. 84 115 (1992); Fisher M P A Phys. Rev. B 37 75 (1988); Jauho A-P Phys. Rev. B 41 12327 (1990), and references therein
  7. Bosanac S Phys. Rev. A 28 577 (1983)
  8. Band W Found. Phys. 18 549 (1988)
  9. Azbel’ M Ya Phys. Rev. B 43 6847 (1991)
  10. Aharonov Y, Vaidman L Phys. Lett. A 178 38 (1993)
  11. Enders A, Nimtz G J. Phys. I (Paris) 2 1693 (1992); 3 1089 (1993); Phys. Rev. E 48 632 (1993); Steinberg A M, Kwiat P G, Chiao R Y Phys. Rev. Lett. 71 708 (1993); Ranfagni A, Fabeni P, Pazzi G P, Mugnai D Phys. Rev. E 48 1453 (1993); Kwiat P G, Steinberg A M, Chiao R Y Phys. Rev. A 47 R2472 (1993)
  12. Landauer R Nature (London) 365 692 (1993)
  13. Azbel’ M Ya, Malomed B A Phys. Rev. Lett. 71 1617 (1993); see also [36]
  14. Deutch J M, Low F E Ann. Phys. (N.Y.) 228 184 (1993)
  15. See, e.g., Leggett A J Prog. Theor. Phys. Suppl. 69 80 (1980); Esteve D et al. Phys. Scr. T29 121 (1989)
  16. Ivlev B I, Mel’nikov V I Zh. Eksp. Teor. Fiz. 90 2208 (1986) [Sov. Phys. JETP 63 1295 (1986)]; Phys. Rev. Lett. 55 1614 (1985). For a numerical study, see Barker J R Physica B 134 22 (1985); Ravaioli U et al. Physica B 134 36 (1985)
  17. Ricco B, Azbel’ M Ya Phys. Rev. B 29 1970 (1984); Brown E R et al. Appl. Phys. Lett. 55 1777 (1989) and references therein. For a review, see Berry B K, in Physics of Quantum Electron Devices (Springer Series in Electronics and Photonics, 28, Ed. F Capasso, Berlin, New York: Springer-Verlag, 1990) Ch. 4 and reference 24
  18. See, e.g., Averin D V, Likharev K K, in Mesoscopic Phenomena in Solids (Modern Problems in Condensed Matter Sciences, Vol. 30, Eds B L Altshuler, P A Lee, R A Webb, Amsterdam, New York: North Holland, Elsevier, 1991) Ch. 6, and references therein
  19. Landau L D, Lifshitz E M Quantum Mechanics (Oxford: Pergamon, 1977, a) Sect. 53, (b) Sects 46-48, (c) Sect. 45, and problems to it
  20. Azbel’ M Ya Phys. Rev. Lett. 64 1553 (1990), and references therein
  21. Khait Yu L Phys. Rep. 99 237 (1983); Khait Yu L et al. Phys. Rev. B 42 9000 (1990), and references therein
  22. Azbel’ M Ya, Platzman P M Phys. Rev. Lett. 65 1376 (1990)
  23. Mott N F J. Non-Cryst. Solids 1 1 (1968)
  24. Mott N F, Davis E A Electronic Processes in Non-Crystalline Materials (Oxford: Clarendon Press; New York: Oxford Univ. Press, 1979)
  25. Capasso F, Datta S Phys. Today 43 (2) 74 (1990), and references therein
  26. Prigodin V N, Raikh M E Phys. Rev. B 43 14073 (1991), and references therein
  27. (a) Heller E J, Tomsovic S Phys. Today 46 (7) 38 (1993); Greenberger D M, Horne M A, Zeilinger A Phys. Today 46 (8) 22 (1993);
  28. (b) Siegel R W Phys. Today 46 (10) 64 (1993); Kastner M A Phys. Today 46 (1) 24 (1993)
  29. Reed M A et al. Phys. Rev. Lett. 60 535 (1988)
  30. Chang L L, Esaki L, Tsu R Appl. Phys. Lett. 24 593 (1974)
  31. Goldman V J, Tsui D C, Cunningham J E Phys. Rev. B 36 7635 (1987)
  32. Zhang C et al. Phys. Rev. Lett. 72 3397 (1994)
  33. Zaslavsky A et al. Appl. Phys. Lett. 53 1408 (1988); Phys. Rev. B 40 9829 (1989)
  34. Goldman V J, Tsui D C, Cunningham J E Phys. Rev. Lett. 58 1256 (1987); 59 1623 (1987); Sollner T C L G Phys. Rev. Lett. 59 1622 (1987)
  35. Jona-Lasinio G, Presilla C, Capasso F Phys. Rev. Lett. 68 2269 (1992); Price P J Superlattices and Microstructures 20 253 (1996); Jona-Lasinio G, Presilla C, Sjostrand J Ann. Phys. (N.Y.) 240 1 (1995)
  36. Yacoby A et al. Phys. Rev. Lett. 74 4047 (1995); Yacoby A, Schuster R, Heiblum M Phys. Rev. B 53 9583 (1996); Buks E et al. Phys. Rev. Lett. 77 4664 (1996); Schuster R et al. Nature (London) 385 417 (1997). These experiments stimulated an extensive theoretic study of Coulomb interactions in a dot - see Yeyati A L, Buttiker M Phys. Rev. B 52 R14360 (1995); Hackenbroich G, Weidenmuller H A Phys. Rev. Lett. 76 110 (1996); Bruder C, Fazio R, Schoeller H Phys. Rev. Lett. 76 114 (1996); Oreg Yu, Gefen Yu Phys. Rev. B 55 13726 (1997)
  37. See, e.g., Lang A R et al. Philos. Mag. B 58 153 (1988); Hunt A, Pollak M, in Hopping and Related Phenomena (Advances in Disordered Semiconductors, Vol. 2, Eds H Fritzsche, M Pollak, Singapore, Teaneck, NJ: World Scientific, 1990); Pollak M, in Modern Problems in Condensed Matter Science (Eds V M Agranovich, A A Maradudin, Amsterdam, New York: North Holland, Elsevier Pub. Co., 1991) p. 175; Long A R, in Modern Problems in Condensed Matter Science (Eds V M Agranovich, A A Maradudin, Amsterdam, New York: North Holland, Elsevier Pub. Co.,1991) p. 207
  38. Azbel’ M Ya Phys. Rev. Lett. 68 98 (1992)
  39. Azbel’ M Ya Phys. Rev. Lett. 73 138 (1994)
  40. Bagwell P F, Lake R K Phys. Rev. B 46 15329 (1992)
  41. Inarrea J, Platero G, Tejedor C Phys. Rev. B 50 4581 (1994); Pashkovskii A B Zh. Eksp. Teor. Fiz. 109 1779 (1996) [JETP 82 959 (1996)]
  42. Azbel’ M Ya Europhys. Lett. 21 227 (1993)
  43. Orellana P, Anda E, Claro F Phys. Rev. Lett. 79 1118 (1997)
  44. Bogolubov N J. Phys. USSR 11 23 (1947); Pitaevskii L P Zh. Eksp. Teor. Fiz. 40 646 (1961) [Sov. Phys. JETP 13 451 (1961)]; Gross E P J. Math. Phys. 4 195 (1963)
  45. Spohn H Rev. Mod. Phys. 52 569 (1980)
  46. Azbel’ M Ya Solid State Commun. 91 439 (1994)
  47. Schulman L S Ann. Phys. (N.Y.) 212 315 (1991)
  48. Azbel’ M Ya, Tsukernik V M Europhys. Lett. 41 7 (1998)
  49. Azbel’ M Ya Phys. Rev. B 28 4106 (1983)
  50. Azbel’ M Ya Phys. Rev. Lett. 43 1954 (1979), and references therein
  51. Ring P, Schuck P The Nuclear Many-Body Problem (New York: Springer-Verlag, 1980); Robinson P A Rev. Mod. Phys. 69 507 (1997); Romeau Y, Rica S Phys. Rev. Lett. 72 2426 (1994); Newell A C Solitons in Mathematics and Physics (Philadelphia, Pa.: SIAM, 1985), and references therein
  52. Frydman A, Ovadyahu Z Phys. Rev. B 55 9047 (1997)
© 1918–2024 Uspekhi Fizicheskikh Nauk
Email: ufn@ufn.ru Editorial office contacts About the journal Terms and conditions