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In this article, we propose a resolution to the paradox of apparent superluminal velocities for tunneling particles, by a careful treatment of temporal observables in quantum theory and through a precise application of the duality between…

Quantum Physics · Physics 2013-01-01 Charis Anastopoulos , Ntina Savvidou

It recently has been demonstrated that signals conveyed by evanescent modes can travel faster than light. In this report some special features of signals are introduced and investigated, for instance the fundamental property that signals…

Classical Physics · Physics 2017-09-27 Guenter Nimtz

Tunnelling processes are thought to proceed via virtual waves due to observed superluminal (faster than light) signal speeds. Some assume such speeds must violate causality. These assumptions contradict, for instance, superluminally…

Optics · Physics 2015-03-24 Horst Aichmann , Guenter Nimtz , Paul Bruney

The refinement and specifications of time-energy uncertainty relations have shown that the experimentally observed phenomena of superluminal signaling are describable by such their form: $\Delta E\Delta\tau\geq\pi\hbar$, where both standard…

Quantum Physics · Physics 2007-05-23 M. E. Perel'man

Tunneling is an important physical process. The observation that particles surmount a high mountain in spite of the fact that they don't have the necessary energy cannot be explained by classical physics. However, this so called tunneling…

Quantum Physics · Physics 2009-11-13 G. Nimtz , A. A. Stahlhofen

Experiments have shown that individual photons penetrate an optical tunnel barrier with an effective group velocity considerably greater than the vacuum speed of light. The experiments were conducted with a two-photon parametric…

Quantum Physics · Physics 2009-10-31 Raymond Y. Chiao

The title of this article is misleading. The authors have investigated a resonator but not a tunneling barrier see also Refs.\cite{Winful2} The measured superluminal group velocity and discussed is that studied on a Lorentz-Lorenz…

Quantum Physics · Physics 2007-10-29 G. Nimtz , A. A. Stahlhofen

Though both theoretical and experimental investigations have revealed the superluminal behavior of evanescent electromagnetic waves, there are many disputes about the physical meaning and validity of such superluminal phenomenon, which is…

Quantum Physics · Physics 2015-06-26 Zhi-Yong Wang , Cai-Dong Xiong

Contrary to mechanical waves, the two-slit interference experiment of single photons shows that the behavior of classical electromagnetic waves corresponds to the quantum mechanical one of single photons, which is also different from the…

Quantum Physics · Physics 2009-11-13 Zhi-Yong Wang , Cai-Dong Xiong , Bing He

Various expressions for transit times in frustrated total internal reflection are analysed. The incompatibility of evanescent-wave propagation with Einstein causality is established.

General Physics · Physics 2007-05-23 Yu. Malyuta

Experiments done in the early 1990's produced a surprising result: that single photons pass through a photonic tunnel barrier with a group velocity faster than the vacuum speed of light. Subsequent experiments with classical pulses have…

Quantum Physics · Physics 2015-05-13 Herbert G. Winful

An explanation for superluminal phenomena based on wave-particle duality of photons is suggested. A single photon may be regarded as a wave packet, whose spatial extension is its coherence volume. As a photon propagates as a wave train in…

Quantum Physics · Physics 2024-03-15 Hai-Long Zhao

Quantum tunneling is considered from the point of view of local realism. It is concluded that a quantum object tunneling through a potential barrier cannot be interpreted as a point-like particle because such an interpretation generates a…

Quantum Physics · Physics 2021-03-23 A. Yu. Samarin

In the case of tunneling of relativistic particles, differently from the nonrelativistic case, a limit of "transparent" barrier can also lead to an apparent "superluminal" behavior when considering the phase time. In this limit, the…

Quantum Physics · Physics 2019-09-18 Massimo Germano

We exploit the analogy between tunnelling across a potential barrier and Aharonov's weak measurements to resolve the long standing paradox between the impossibility to exceed the speed of light and the seemingly 'superluminal' behaviur of…

Quantum Physics · Physics 2007-05-23 D. Sokolovski , A. Z. Msezane , V. R. Shaginyan

A compact analysis of development and prospects in the study of the tunnelling evolution is given. A new systematization of various approaches to defining tunnelling times in the light of time as a quantum mechanical observable is proposed.…

General Physics · Physics 2008-02-03 V. S. Olkhovsky , A. Agresti

Feynman one of the founders of Quantum Electronic Dynamics (QED) introduced in his diagrams virtual particles as intermediate states of an interaction process. Such virtual particles are not observable, however, from the theoretical point…

Quantum Physics · Physics 2007-08-07 G. Nimtz , A. A. Stahlhofen

By using techniques developed in quantum cosmology, it is found that a tunneling particle spends purely imaginary time on a barrier region. The {\it imaginary} time is associated with the stochastic acausal behaviour of a state, while the…

Quantum Physics · Physics 2008-04-03 Zhong Chao Wu

Quantum tunnelling, a hallmark phenomenon of quantum mechanics, allows particles to pass through the classically forbidden region. It underpins fundamental processes ranging from nuclear fusion and photosynthesis to the operation of…

Quantum Physics · Physics 2025-12-23 Xiao-Wen Shang , Jian-Peng Dou , Feng Lu , Sen Lin , Hao Tang , Xian-Min Jin

Photonic tunneling permits superluminal signal transmission. The principle of causality is not violated but the time duration between cause and effect can be shortened compared with an interaction exchange with velocity of light. This…

General Physics · Physics 2017-08-23 Günter Nimtz
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