Nimtz, Gunter and Aichmann, Horst (2021). All waves have a zero tunneling time. Z. Naturfors. Sect. A-J. Phys. Sci., 76 (4). S. 295 - 298. BERLIN: WALTER DE GRUYTER GMBH. ISSN 1865-7109
Full text not available from this repository.Abstract
Zero tunneling time and thereby a faster than light traversal velocity was calculated nearly a hundred years ago and has been observed recently. We report about experimental results and estimations, which confirm the zero time tunneling for elastic as well as for electromagnetic and Schrodinger waves. Zero time tunneling was first observed with microwaves 1992 (H. Aichmann and G. Nimtz, Found. Phys., vol. 44, p. 678, 2014; A. Enders and G. Nimtz, J. Phys. I, vol. 2, p. 169, 1992). In 2008, zero time was also observed for tunneling electrons (P. Eckle, A. N. Pfeiffer, C. Cirelli, et al., Science, vol. 322, p. 1525, 2008). Presumably, this effect took place with atoms quite recently (R. Ramos, D. Spierings, I. Racicot, and A. M. Steinberg, Nature, vol. 583, p. 529, 2020). The Einstein relation E-2 = (hk)(2)c(2) is not satisfied in the tunneling process, since the wave number k is imaginary (E is the total energy, h the Planck constant, and c the vacuum velocity of light), Zero time tunneling is described by virtual photons (A. Stahlhofen and G. Nimtz, Europhys. Lett., vol. 76, p. 189, 2006). The tunneling process itself violates the Special Theory of Relativity. Remarkably, Brillouin conjectured that wave mechanics is valid for all waves independent of their field (L. Brillouin, Wave Propagation in Periodic Structures, Chap. VIII, New York, Dover Publications, 1953).
| Item Type: | Journal Article | ||||||||||||
| Creators: |
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| URN: | urn:nbn:de:hbz:38-566780 | ||||||||||||
| DOI: | 10.1515/zna-2020-0299 | ||||||||||||
| Journal or Publication Title: | Z. Naturfors. Sect. A-J. Phys. Sci. | ||||||||||||
| Volume: | 76 | ||||||||||||
| Number: | 4 | ||||||||||||
| Page Range: | S. 295 - 298 | ||||||||||||
| Date: | 2021 | ||||||||||||
| Publisher: | WALTER DE GRUYTER GMBH | ||||||||||||
| Place of Publication: | BERLIN | ||||||||||||
| ISSN: | 1865-7109 | ||||||||||||
| Language: | English | ||||||||||||
| Faculty: | Unspecified | ||||||||||||
| Divisions: | Unspecified | ||||||||||||
| Subjects: | no entry | ||||||||||||
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| URI: | http://kups.ub.uni-koeln.de/id/eprint/56678 |
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