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Quantum counterparts of Schrodinger's classical bridge problem have been around for the better part of half a century. During that time, several quantum approaches to this multifaceted classical problem have been introduced. In the present…

Quantum Physics · Physics 2025-03-11 Olga Movilla Miangolarra , Ralph Sabbagh , Tryphon T. Georgiou

Using a time operator, we define a tunneling time for a particle going through a barrier. This tunneling time is the average of the phase time introduced by other authors. In addition to the delay time caused by the resonances over the…

Quantum Physics · Physics 2009-05-27 Gonzalo Ordonez , Naomichi Hatano

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

In this paper we examine critically and in detail some existing definitions for the tunnelling times, namely: the phase-time; the centroid-based times; the Buttiker and Landauer times; the Larmor times; the complex (path-integral and Bohm)…

Quantum Physics · Physics 2007-05-23 G. Privitera , G. Salesi , V. S. Olkhovsky , E. Recami

Space-time modulation adds another powerful degree of freedom to the manipulation of classical wave systems. It opens the door for complex control of wave behavior beyond the reach of stationary systems, such as nonreciprocal wave transport…

Classical Physics · Physics 2019-11-06 Junfei Li , Xiaohui Zhu , Chen Shen , Xiuyuan Peng , Steven A. Cummer

Scattering of a Gaussian wavepacket from rectangular potential barriers with increasing widths or heights is studied numerically. It is seen that during a certain time interval the time-evolving transmission probability increases compared…

Quantum Physics · Physics 2015-06-22 H. Karami , S. V. Mousavi

Biomolecular folding, at least in simple systems, can be described as a two state transition in a free energy landscape with two deep wells separated by a high barrier. Transition paths are the short part of the trajectories that cross the…

Statistical Mechanics · Physics 2018-12-10 M. Laleman , E. Carlon , H. Orland

A simple model of a quantum clock is applied to the old and controversial problem of how long a particle takes to tunnel through a quantum barrier. The model I employ has the advantage of yielding sensible results for energy eigenstates,…

Quantum Physics · Physics 2009-11-10 P. C. W. Davies

An analytical expression is derived for the transition path time distribution for a one-dimensional particle crossing of a parabolic barrier. Two cases are analyzed: (i) A non-Markovian process described by a generalized Langevin equation…

Statistical Mechanics · Physics 2018-06-29 E. Carlon , H. Orland , T. Sakaue , C. Vanderzande

An electromagnetic truncated Gaussian pulse propagates through a waveguide with piecewise different dielectric constants. The waveguide contains a barrier, namely a region of a lower dielectric constant compared to the neighboring regions.…

Classical Physics · Physics 2009-10-30 Thorsten Emig

This work studies time-dependent electromagnetic scattering from obstacles whose interaction with the wave is fully determined by a nonlinear boundary condition. In particular, the boundary condition studied in this work enforces a power…

Numerical Analysis · Mathematics 2023-10-30 Jörg Nick

The time dependent density matrix of a system with potential barrier is studied using path integrals. The characterization of the initial state, which is assumed to be restricted to one side of the barrier, and the time evolution of the…

Statistical Mechanics · Physics 2009-10-31 Joachim Ankerhold , Hermann Grabert

Motivated by recent experiments, the theoretical study of wave propagation in time varying materials is of current interest. Although significant in nearly all such experiments, material dispersion is commonly neglected in theoretical…

Optics · Physics 2025-11-25 Bryce Dixon , Calvin M. Hooper , Ian R. Hooper , Simon A. R. Horsley

The diffusive non-Markovian motion over a single-well potential barrier in the presence of a weak sinusoidal time-modulation is studied. We found non-monotonic dependence of the mean escape time from the barrier on a frequency of the…

Statistical Mechanics · Physics 2015-05-30 V. M. Kolomietz , S. V. Radionov

The question of how long a particle takes to pass through a potential barrier is still a controversial topic in quantum mechanics. Arguably, the main theoretical problem in obtaining estimates for measurable times is the fact that…

Quantum Physics · Physics 2018-09-19 Ricardo Ximenes , Fernando Parisio , Eduardo O. Dias

It is shown that in the case of the one-particle one-dimensional scattering problem for a given time-independent potential, for each state of the whole quantum ensemble of identically prepared particles, there is an unique pair of…

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

The measurement of the tunneling time (T-time) in today's attosecond and strong field (low-frequency) experiments, despite its controversial discussion, offers a fruitful opportunity to understand time measurement and the time in quantum…

Quantum Physics · Physics 2017-01-19 Ossama Kullie

A theoretical technique which allows to include contributions from non-orthogonality of the electron states in the leads connected to a tunneling junction is derived. The theory is applied to a single barrier tunneling structure and a…

Mesoscale and Nanoscale Physics · Physics 2009-11-07 J. Fransson , O. Eriksson , I. Sandlov

We introduce a formalism for the calculation of the time of arrival t at a detector of particles traveling through interacting environments. We develop a general formulation that employs quantum canonical transformations from the free to…

Quantum Physics · Physics 2007-05-23 J. Leon , J. Julve , P. Pitanga , F. J. de Urries

The time-dependent Bragg diffraction by multilayer gratings working by reflection or by transmission is investigated. The study is performed by generalizing the time-dependent coupled-wave theory previously developed for one-dimensional…

Other Condensed Matter · Physics 2015-11-26 Jean-Michel André , Philippe Jonnard