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In the Bohm picture and one-dimensional case, we show that given an adequately chosen potential for characterising obstacles, one can derive laws of motion formally identical to that of special relativity. In such a hypothetical scheme,…

Quantum Physics · Physics 2007-05-23 T. Ouisse

We use the method of Laplace transformation to determine the dynamics of a wave packet that passes a barrier by tunneling. We investigate the transmitted wave packet and find that it can be resolved into a sequence of subsequent wave…

Quantum Physics · Physics 2019-06-12 Natascha Riahi

The OPERA Collaboration reported evidence for muonic neutrinos traveling slightly faster than light in vacuum. While waiting further checks from the experimental community, here we aim at exploring some theoretical consequences of the…

High Energy Physics - Phenomenology · Physics 2015-05-30 Alessandro Drago , Isabella Masina , Giuseppe Pagliara , Raffaele Tripiccione

Vacuum polarisation in QED in a background gravitational field induces interactions which effectively violate the strong equivalence principle and affect the propagation of light. In the low frequency limit, Drummond and Hathrell have shown…

General Relativity and Quantum Cosmology · Physics 2009-11-07 G. M. Shore

In a recent review paper [{\em Phys. Reports} {\bf 214} (1992) 339] we proposed, within conventional quantum mechanics, new definitions for the sub-barrier tunnelling and reflection times. \ Aims of the present paper are: \ (i) presenting…

Quantum Physics · Physics 2009-10-28 V. S. Olkhovsky , E. Recami , F. Raciti , A. Zaichenko

Quantum tunnelling is a common fundamental quantum-mechanical phenomenon that originates from the wave-like characteristics of quantum particles. Although the quantum-tunnelling effect was first observed 85 years ago, some questions…

Quantum Physics · Physics 2015-06-10 Atshushi Noguchi , Yutaka Shikano , Kenji Toyoda , Shinji Urabe

We analyze the interaction of a triple quantum dot molecules controlled by the tunneling coupling instead of coupling laser. A general analytic expression for the steady-state linear susceptibility for a probe-laser field is obtained and we…

Optics · Physics 2013-10-18 Si-Cong Tian , Cun-Zhu Tong , Ren-Gang Wan , Yong-Qiang Ning , Li-Jun Wang

While ideal photonic crystals would support modes with a vanishing group velocity, state-of-the art structures have still only provided a slow-down by roughly two orders of magnitude. We find that the induced density of states caused by…

Optics · Physics 2008-10-06 Jesper Goor Pedersen , Sanshui Xiao , Niels Asger Mortensen

Tunnelling lies at the heart of quantum mechanics and is a fundamental process in attosecond science, molecular biology, and quantum devices. Whether tunnelling takes time and how a microscopic particle transits through a barrier have been…

A universal relation has been established between the local energy transport velocity along the direction of propagation and the group velocity of scalar and vector-valued propagation-invariant spatiotemporally localized superluminal and…

Optics · Physics 2019-07-31 Peeter Saari , Ott Rebane , Ioannis Besieris

The wave-particle duality has been said to contain the entire mystery of quantum mechanics. Many delayed-choice experiments have been performed to further understand the wave-particle duality. Here, we reveal some flaws in the known…

General Physics · Physics 2017-11-13 Shan-Liang Liu

The kinematics of Compton-effect with violated invariance of the velocity of light has been considered. It has been shown that in this case faster-than-light motion of the Compton electron is possible. The motion (if it exists really)…

General Physics · Physics 2007-05-23 G. A. Kotel'nikov

We display several examples of how fields with different limiting velocities (the "speed of light") at a high energy scale can nevertheless have a common limiting velocity at low energies due to the effects of interactions. We evaluate the…

High Energy Physics - Theory · Physics 2011-06-07 Mohamed M. Anber , John F. Donoghue

A non-stationary method for tunneling description of non-relativistic particles and photons through a barrier on the basis of consideration of the multiple internal reflections of vawe packets in relation of barrier boundaries is presented.…

Nuclear Theory · Physics 2007-05-23 Sergei P. Maydanyuk , Vladislav S. Olkhovsky , Alexander K. Zaichenko

The interaction between a light pulse, traveling in air, and a generic linear, non-absorbing and dispersive structure is analyzed. It is shown that energy conservation imposes a constraint between the group velocities of the transmitted and…

Optics · Physics 2012-02-14 Omar El Gawhary , Sergio Severini , Paolo Christillin

Recently it was suggested that the observation of superluminal neutrinos by the OPERA collaboration may be due to group velocity effects resulting from close-to-maximal oscillation between neutrino mass eigenstates, in analogy to known…

High Energy Physics - Phenomenology · Physics 2012-03-20 Tim R. Morris

In a recent experiment, Salart et al. addressed the important issues of the speed of hypothetical communication and of reference frames in Bell-type experiments. The authors report that they "performed a Bell experiment using entangled…

Quantum Physics · Physics 2008-10-27 Johannes Kofler , Rupert Ursin , Caslav Brukner , Anton Zeilinger

It has been found in several papers that, because of quantum corrections, light front can propagate with superluminal velocity in gravitational fields and even in flat space-time across two conducting plates. We show that, if this is the…

General Relativity and Quantum Cosmology · Physics 2009-10-31 A. D. Dolgov , I. D. Novikov

Superfluidity, the ability of a fluid to move without dissipation, is one of the most spectacular manifestations of the quantum nature of matter. We explore here the possibility of superfluid motion of light. Controlling the speed of a…

Quantum Gases · Physics 2011-07-04 Patricio Leboeuf , Simon Moulieras

Special relativity includes a concealed mechanism for reducing time-dilation effects in two mutually-receding objects. Forwarding their signals via one or more intermediate physical relay stages (a "probe chain") allows enhanced…

General Relativity and Quantum Cosmology · Physics 2007-05-23 Eric Baird
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