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We demonstrate that the time operator that measures the time of arrival of a quantum particle into chosen state can be defined as a self-adjoint quantum-mechanical operator using periodic boundary conditions on applied to wavefuncions in…

Quantum Physics · Physics 2015-03-17 P. Bokes

We discover that quantum dynamical tunneling, occurring between phase space regions in a classically forbidden way, can break conserved quantities in pseudointegrable systems. We rigorously prove that a conserved quantity in a class of…

Chaotic Dynamics · Physics 2024-05-21 Lingchii Kong , Zongping Gong , Biao Wu

Statistics of electron tunneling in normal tunnel junctions is studied analytically and numerically taking into account circuit (environment) effects. Full counting statistics, as well as full statistics of voltage and phase have been found…

Mesoscale and Nanoscale Physics · Physics 2009-11-11 P. J. Hakonen , A. Paila , E. B. Sonin

Experiments with evanescent modes and tunneling particles have shown that i) their signal velocity may be faster than light, ii) they are described by virtual particles, iii) they are nonlocal and act at a distance, iv) experimental…

Quantum Physics · Physics 2015-05-18 Guenter Nimtz

Beginners studying quantum mechanics are often baffled with electron tunneling.Hence an easy approach for comprehension of the topic is presented here on the basis of uncertainty principle.An estimate of the tunneling time is also derived…

Quantum Physics · Physics 2007-05-23 Angik Sarkar , T. K. Bhattacharyya

We consider tunneling processes in QFT induced by collisions of elementary particles. We propose a semiclassical method for estimating the probability of these processes in the limit of very high collision energy. As an illustration, we…

High Energy Physics - Theory · Physics 2009-11-10 D. Levkov , S. Sibiryakov

Transient {\it time-domain resonances} found recently in time-dependent solutions to Schr\"{o}dinger's equation are used to investigate the issue of the tunneling time in rectangular potential barriers. In general, a time frequency analysis…

Quantum Physics · Physics 2016-08-16 Gastón García-Calderón , Jorge Villavicencio

We use an one dimensional model of a square barrier embedded in an infinite potential well to demonstrate that tunneling leads to a complex behavior of the wave function and that the degree of complexity may be quantified by use of the…

Quantum Physics · Physics 2015-07-20 Ofir Flom , Asher Yahalom , Haggai Zilberberg , L. P. Horwitz , Jacob Levitan

Quantum tunneling, a phenomenon which has no counterpart in classical physics, is the quantum-mechanical process by which a microscopic particle can transition through a potential barrier even when the energy of the incident particle is…

Mesoscale and Nanoscale Physics · Physics 2020-02-04 Raul J. Martin-Palma

Currents across thin insulators are commonly taken as single electrons moving across classically forbidden regions; this independent particle picture is well-known to describe most tunneling phenomena. Examining quantum transport from a…

Materials Science · Physics 2007-05-23 Giorgos Fagas , Paul Delaney , James C. Greer

Quantum tunneling from a thin wire or a thin film through a static potential barrier in a zero magnetic field is studied. The wire or the film should satisfy a condition of transverse quantization of levels and be inhomogeneous. Depending…

Quantum Physics · Physics 2008-06-11 B. Ivlev

Two major apparently unrelated problems, that of the origin of time in the universe associated with quantum gravity and to the entropy in de Sitter cosmological models, are found to have their origin in a single physical phenomenon: the…

General Relativity and Quantum Cosmology · Physics 2011-04-15 Gerald Horwitz

In quantum tunnelling, what appears an infinitely fast barrier traversal can be explained in terms of an Aharonov-like weak measurement of the tunnelling time, in which the role of the pointer is played by the particle's own coordinate. A…

Quantum Physics · Physics 2007-05-23 D. Sokolovski

In this paper we compare the concept of the tunneling time introduced in quant-ph/0405028 with those of the phase and dwell times. As is shown, unlike the latter our definition of the transmission time coincides, in the limit of weak…

Quantum Physics · Physics 2007-05-23 N. L. Chuprikov

The ability to tune quantum tunneling is key for achieving selectivity in manipulation of individual particles in quantum technology applications. In this work we count electron escape events out of a time-dependent confinement potential,…

Mesoscale and Nanoscale Physics · Physics 2026-02-10 Austris Akmentinsh , David Reifert , Thomas Weimann , Klaus Pierz , Vyacheslavs Kashcheyevs , Niels Ubbelohde

The quantum-mechanical transmission through a disordered tunnel barrier is investigated analytically in the following regime: (correlation range of the random potential) << (penetration length) << (barrier length). The mean and/or the width…

Mesoscale and Nanoscale Physics · Physics 2007-05-23 J. M. Luck

We discuss the propagation of wave packets through interacting environments. Such environments generally modify the dispersion relation or shape of the wave function. To study such effects in detail, we define the distribution function…

Quantum Physics · Physics 2009-10-31 Ken-Ichi Aoki , Atsushi Horikoshi , Etsuko Nakamura

We show that scattering a quantum particle on a one-dimensional potential barrier as well as scattering the electromagnetic wave on a quasi-one-dimensional layered structure (both represent scattering problems with one 'source' and two…

Quantum Physics · Physics 2017-05-15 Nikolay L. Chuprikov

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

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