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This is an analysis of some aspects of an old but still controversial topic, superluminal quantum tunneling. Some features of quantum tunneling described in literature, such as definition of the tunneling time and a frequency range of a…

Quantum Physics · Physics 2020-09-15 Moses Fayngold

In electron transport, the tunnelling time is the time taken for an electron to tunnel out of a system after it has tunnelled in. We define the tunnelling time distribution for quantum processes in a dissipative environment and develop a…

Mesoscale and Nanoscale Physics · Physics 2016-10-20 Samuel Rudge , Daniel Kosov

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

The fundamental sources of noise in a vacuum-tunneling probe used as an electromechanical transducer to monitor the location of a test mass are examined using a first-quantization formalism. We show that a tunneling transducer enforces the…

Quantum Physics · Physics 2015-05-18 Carlo Presilla , Roberto Onofrio , Mark F. Bocko

It has been suggested that the uncertainty in the measurement of a particle's momentum could be made arbitrarily small by observing the particle at two ends of an arbitrarily long flight path. However, consideration of the nature of the…

Quantum Physics · Physics 2007-05-23 Kirk T. McDonald

The uncertainty principle, originally formulated by Heisenberg, dramatically illustrates the difference between classical and quantum mechanics. The principle bounds the uncertainties about the outcomes of two incompatible measurements,…

Quantum Physics · Physics 2011-03-02 Mario Berta , Matthias Christandl , Roger Colbeck , Joseph M. Renes , Renato Renner

Minimization of the expectation value of energy under the constraints imposed by the uncertainty principle can be a convenient method of solving quantum-mechanical problems.

Quantum Physics · Physics 2012-06-08 A. K. Khitrin

Tunneling, transport of particles through classically forbidden regions, is a pure quantum phenomenon. It governs numerous phenomena ranging from single-molecule electronics to donor-acceptor transition reactions. The main problem is the…

Quantum Physics · Physics 2017-10-13 Durmus Demir , Tugrul Guner

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

Quantum particles can penetrate potential barriers by tunneling (1). If that barrier is rotating, the tunneling process is modified (2,3). This is typical for electrons in atoms, molecules or solids exposed to strong circularly polarized…

Classical mechanics is a singular theory in that real-energy classical particles can never enter classically forbidden regions. However, if one regulates classical mechanics by allowing the energy E of a particle to be complex, the particle…

High Energy Physics - Theory · Physics 2014-08-28 Carl M. Bender , Daniel W. Hook

We study the temporal aspects of quantum tunneling as manifested in time-of-arrival experiments in which the detected particle tunnels through a potential barrier. In particular, we present a general method for constructing temporal…

Quantum Physics · Physics 2015-06-12 Charis Anastopoulos , Ntina Savvidou

Tunneling of a particle through a potential barrier remains one of the most remarkable quantum phenomena. Owing to advances in laser technology, electric fields comparable to those electrons experience in atoms are readily generated and…

Field electron emission (FE) and electrostatic field ionization (ESFI) are quantum-mechanical tunnelling processes that provide basic theory for important technologies. However, the basic theories of FE and ESF1 are not yet completely…

Quantum Physics · Physics 2025-12-01 Richard G. Forbes

The uncertainty principle is a cornerstone of modern physics, and its implications have a fundamental impact on theoretical and applied quantum mechanics. The aim of this thesis is to study and apply the uncertainty relations between time…

Quantum Physics · Physics 2020-04-21 Francesco Campaioli

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…

The present paper is based upon equations obtained in an earlier paper by the author devoted to a new formulation of quantum electrodynamics. The equations describe the structure of the electron as well as its motion in external fields,…

General Physics · Physics 2016-10-05 V. A. Golovko

A clear consensus on how long it takes a particle to tunnel through a potential barrier has never been so urgently required, since the electron dynamics in strong-field ionization can be resolved on attosecond time-scale in experiment and…

Atomic Physics · Physics 2019-03-19 Xiaolei Hao , Zheng Shu , Weidong Li , Jing Chen

A new interpretation of quantum mechanics, similar to the Copenhagen interpretation, is developed from time-symmetry arguments and commonly held principles concerning time and causality. These principles, which are grounded in ideas outside…

Quantum Physics · Physics 2007-05-23 William R. Wharton

Tunneling in quantum field theory is worth understanding properly, not least because it controls the long term fate of our universe. There are however, a number of features of tunneling rate calculations which lack a desirable transparency,…

High Energy Physics - Theory · Physics 2017-09-01 Anders Andreassen , David Farhi , William Frost , Matthew D. Schwartz