Abstract
The tunneling process represents one of the most non-classical predictions in quantum mechanics. Within this process, one of the questions most debated is that of the “traversal time”, that is the time spent during the passage through a barrier. The question of how much time tunneling takes is certainly not new, but it is one that has not yet been resolved.
Access this chapter
Tax calculation will be finalised at checkout
Purchases are for personal use only
Preview
Unable to display preview. Download preview PDF.
References
R. Landauer: Nature 365, 692 (1993)
J.A. Stövneng, E.H. Hauge: Physics World 23, November 1993
J. Brown: New Scientist 1971, 26 (1995)
A. Ranfagni, D. Mugnai, P. Fabeni, G.P. Pazzi: Physica Scripta 42, 508 (1990)
T.E. Hartman: J. Appl. Phys. 33, 3427 (1962)
A. Enders, G. Nimtz: J. Phys. (Paris) I 2, 1693 (1992)
L. Brillouin: Wave Propagation and Group Velocity, (Academic Press, New York 1960)
Y. Aharonov, L. Vaidman: Phys. Rev. A 41, 11 (1990)
D. Mugnai, A. Ranfagni, R. Ruggeri, A. Agresti: Phys. Rev. Lett. 68, 259 (1992)
A. Ranfagni, D. Mugnai, P. Fabeni, G.P. Pazzi: Appl. Phys. Lett. 58, 774 (1991)
A. Ranfagni, D. Mugnai, P. Fabeni, G.P. Pazzi, G. Naletto, C. Sozzi: Physica 175, 283 (1991)
M. Büttiker: Phys. Rev. B 27, 6178 (1983)
D. Sokolovski, J.N.L. Connor: Phys. Rev. A 42, 6512 (1990)
D. Sokolovski, S. Brouard, J.N.L. Connor: Phys. Rev. A 50, 1240 (1994)
D. Mugnai, A. Ranfagni, R. Ruggeri, A. Agresti: Phys. Rev. E 49, 1771 (1994)
D. Mugnai, A. Ranfagni, R. Ruggeri, A. Agresti: Phys. Rev. E 50, 790 (1994)
G. Nimtz, H. Spieker, H. M. Brodowsky: J. Phys. (Paris) I 4, 1379 (1994)
M. Kac: Rocky Mountain J. Math. 4, 497 (1974)
A. Ranfagni, D. Mugnai: Phys. Rev. E. 52, 1128 (1995)
B. Gaveau, T. Jacobson, M. Kac, L.S. Schulman: Phys. Rev. Lett. 53, 419 (1984)
A. Ranfagni, D. Mugnai, A. Agresti: Phys. Lett. A 175, 334 (1993)
R. Fox, C.G. Kuper, S.G. Lipson: Proc. Roy. Soc. London A 316, 515 (1970)
K. Hass, P. Busch: Phys. Lett. A 185, 9 (1994)
P. Moretti, A. Agresti: Il Nuovo Cimento B 110, 905 (1995)
D. Mugnai, A. Ranfagni, R. Ruggeri, A. Agresti, E. Recami: Phys. Lett. A 209, 227 (1995)
Another approach to the problem can be found in J.G. Muga, M. Büttiker: Phys. Rev. A 62, 023808 (2000)
W. Heitmann, G. Nimtz: Phys. Lett. A 196, 154 (1994)
M. Mojhedi, E. Schamiloglu, F. Hegeler, K.J. Malloy: Phys. Rev. E 62, 5758 (2000)
A. Enders, G. Nimtz: Phys. Rev. E 48, 632 (1993); J. Phys. (Paris) I 3, 1089 (1993)
A.M. Steinberg, P.G. Kwiat, R.Y. Chiao: Phys. Rev. Lett. 71, 708 (1993)
Ch. Spielmann, R. Szipöcs, A. Stingl, F. Krausz: Phys. Rev. Lett. 73, 2308 (1994)
D. Mugnai, A. Ranfagni, L. Ronchi: Atti della Fondazione Giorgio Ronchi vol. LIII, 777 (1998)
A. Ranfagni, R. Ruggeri, A. Agresti: Found. Phys. 28, 515 (1998)
R. Feynman, A. Hibbs: Quantum Mechanics and Path Integrals (McGraw-Hill, New York 1965), Ch. 7
P. Moretti, D. Mugnai, A. Ranfagni, M. Cetica: Phys. Rev. A 60, 5087 (1999)
A. Ranfagni, R. Ruggeri, C. Susini, A. Agresti, P. Sandri: Phys. Rev. E 63, 025102–1 (2001)
K.W.H. Stevens: Eur. J. Phys. 1, 98 (1980); J. Phys. C: Solid State Phys. 16, 3649 (1983)
A. Ranfagni, D, Mugnai, A. Agresti: Phys. Lett. 158, 161 (1991)
S. Brouard, J.G. Muga: Phys. Rev. A 54, 3055 (1996)
N. Marcuvitz: Waveguide Handbook (McGraw-Hill, New York, 1951), Ch. 5
F. Terman: Electronic and Radio Engineering (McGraw-Hill, New York, 1955), Ch.3
F.E. Terman, J.M. Pettit: Electronic measurements (McGraw-Hill, New York 1952), p. 428
D. Mugnai, A. Ranfagni, L.S. Schulman: Phys. Rev. E 55, 3593 (1997)
M.S. Marinov, B. Segev: in Tunneling and its Implications, ICTP-Adriatico Research Conference at Trieste, Italy, July 30–August 2, 1996, ed. by D. Mugnai, A. Ranfagni, L.S. Schulman (World Scientific, Singapore 1997)
S. Bosanac: Phys. Rev. A, 28, 577 (1983)
P. Balcou, L. Dutriaux: Phys. Rev. Lett. 78, 851 (1997)
D. Mugnai, A. Ranfagni, L. Ronchi: Phys. Lett. A 247, 281 (1998)
J. Millman, H. Taub: Pulse and Digital circuits (McGraw-Hill, New York 1956), Ch.2
Author information
Authors and Affiliations
Editor information
Editors and Affiliations
Rights and permissions
Copyright information
© 2002 Springer-Verlag Berlin Heidelberg
About this chapter
Cite this chapter
Mugnai, D., Ranfagni, A. (2002). Microwave Experiments on Tunneling Time. In: Muga, J.G., Mayato, R.S., Egusquiza, I.L. (eds) Time in Quantum Mechanics. Lecture Notes in Physics, vol 72. Springer, Berlin, Heidelberg. https://doi.org/10.1007/3-540-45846-8_12
Download citation
DOI: https://doi.org/10.1007/3-540-45846-8_12
Published:
Publisher Name: Springer, Berlin, Heidelberg
Print ISBN: 978-3-540-43294-4
Online ISBN: 978-3-540-45846-3
eBook Packages: Springer Book Archive