Quantum tunneling time

American Journal of Physics

Volumn 73, Issue 1, 2005, Pages 23-27

  Davies, P C W ^a  

^a MACQUARIE UNIVERSITY   (Australia)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 12444336875     PISSN: 00029505     EISSN: None     Source Type: Journal    
DOI: 10.1119/1.1810153     Document Type: Article

References (17)

1. For a review, see R. Landauer and Th. Martin, "Barrier interaction time in tunneling," Rev. Mod. Phys. 66, 217-228 (1994).
2. A. M. Steinberg, P. G. Kwiat, and R. Y. Chiao, "Measurement of the single photon tunneling time," Phys. Rev. Lett. 71, 708-711 (1993); R. Y. Chiao, P. G. Kwiat, and A. M. Steinberg, "Faster than light?," Sci. Am. 52(8), 269-275 (1993); A. Ranfagni, P. Fabeni, G. P. Pazzi, and D. Mugnai, "Anomalous pulse delay in microwave propagation: A possible connection to tunneling time," Phys. Rev. E 48, 1453-1460 (1993).
3. A. M. Steinberg, P. G. Kwiat, and R. Y. Chiao, "Measurement of the single photon tunneling time," Phys. Rev. Lett. 71, 708-711 (1993); R. Y. Chiao, P. G. Kwiat, and A. M. Steinberg, "Faster than light?," Sci. Am. 52(8), 269-275 (1993); A. Ranfagni, P. Fabeni, G. P. Pazzi, and D. Mugnai, "Anomalous pulse delay in microwave propagation: A possible connection to tunneling time," Phys. Rev. E 48, 1453-1460 (1993).
4. A. M. Steinberg, P. G. Kwiat, and R. Y. Chiao, "Measurement of the single photon tunneling time," Phys. Rev. Lett. 71, 708-711 (1993); R. Y. Chiao, P. G. Kwiat, and A. M. Steinberg, "Faster than light?," Sci. Am. 52(8), 269-275 (1993); A. Ranfagni, P. Fabeni, G. P. Pazzi, and D. Mugnai, "Anomalous pulse delay in microwave propagation: A possible connection to tunneling time," Phys. Rev. E 48, 1453-1460 (1993).
5. A. M. Steinberg, "Clear message for causality," Phys. World 16(12), 19-20 (2003).
6. E. H. Hauge and J. A. Støvneng, "The tunneling time for a wave packet as measured with a physical clock," Rev. Mod. Phys. 61, 917-936 (1989).
7. See, for example, J. P. Falck and E. H. Hauge, "Larmor clock reexamined," Phys. Rev. B 38, 3287-3297 (1988).
8. H. Salecker and E. P. Wigner, "Quantum limitations of the measurement of space-time distances," Phys. Rev. 109, 571-577 (1958).
9. A. Peres, "Measurement of time by quantum clocks," Am. J. Phys. 48, 552-557 (1980).
10. Y. Aharonov, N. Erez, and B. Reznik, "Superoscillations and tunneling times," Phys. Rev. A 65, 052124-1-5 (2002).
11. J. Oppenheim, B. Reznik, and W. G. Unruh, "Time as an observable," in Proceedings of the 10th Max Born Symposium, edited by Ph. Blanchard and A. Jadczyk (Springer-Verlag, Berlin, 1997).
12. Y. Aharonov, D. Z. Albert, and L. Vaidman, "How the result of a measurement of a component of a spin 1/2 particle can turn out to be 100," Phys. Rev. Lett. 60, 1351-1354 (1988); Y. Aharonov and L. Vaidman, "Properties of a quantum system during the time interval between two measurements," Phys. Rev. A 41, 11-20 (1990).
13. Y. Aharonov, D. Z. Albert, and L. Vaidman, "How the result of a measurement of a component of a spin 1/2 particle can turn out to be 100," Phys. Rev. Lett. 60, 1351-1354 (1988); Y. Aharonov and L. Vaidman, "Properties of a quantum system during the time interval between two measurements," Phys. Rev. A 41, 11-20 (1990).
14. A. M. Steinberg, "How much time does a tunneling particle spend in the barrier region?," Phys. Rev. Lett. 74, 2405-2409 (1995).
15. M. Buttinger, "Larmor precession and the traversal time for tunneling," Phys. Rev. B 27, 6178-6188 (1983).
16. V. S. Olkhovsky, E. Recami, and G. Salesi, "Tunneling through two successive barriers and the Hartman (superluminal) effect," Europhys. Lett. 57, 879-884 (2002).
17. P. C. W. Davies, "Quantum mechanics and the equivalence principle," Class. Quantum Grav. 21, 2761-2772 (2004).