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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…

We adapt the semiclassical technique, as used in the context of instanton transitions in quantum field theory, to the description of tunneling transmissions at finite energies through potential barriers by complex quantum mechanical…

量子物理 · 物理学 2007-05-23 G. F. Bonini , A. G. Cohen , C. Rebbi , V. A. Rubakov

Quantum particles interacting with potential barriers are ubiquitous in physics, and the question of how much time they spend inside classically forbidden regions has attracted interest for many decades. Recent developments of new…

量子物理 · 物理学 2021-07-06 Seyedmohammad Yusofsani , Miroslav Kolesik

We theoretically study the tunneling time by investigating a wave packet of Bose-condensed atoms passing through a square barrier. We find that the tunneling time exhibits different scaling laws in different energy regimes. For negative…

量子物理 · 物理学 2022-09-07 Sheng-Chang Li

Controversy surrounding the "tunnelling time problem" stems from the seeming inability of quantum mechanics to provide, in the usual way, a definition of the duration a particle is supposed to spend in a given region of space. For this…

量子物理 · 物理学 2026-03-04 D. Sokolovski , A. Matzkin

There remains the old question of how long a quantum particle takes to tunnel through a potential barrier higher than its incident kinetic energy. In this article a solution of the question is proposed on the basis of a realistic…

量子物理 · 物理学 2007-06-26 Wang Guowen

Recently a new theory for the transport of energetic particles across a mean magnetic field was presented. Compared to other non-linear theories the new approach has the advantage that it provides a full time-dependent description of the…

等离子体物理 · 物理学 2017-09-20 Jordan Lasuik , Andreas Shalchi

We investigate the scattering of two distinguishable particles with unequal masses and a mutual short-range interaction with the aim of quantifying the impact of a tunneling ``projectile'' particle on the quantum mechanical state of the…

量子物理 · 物理学 2026-03-23 Roman Michelko , Peter Bokes

We discuss the sensitivity of tunneling processes to the initial preparation of the quantum state. We compare the case of Gaussian wave packets of different positional variances using a generalised Woods-Saxon potential for which analytical…

量子物理 · 物理学 2024-07-23 Roberto Onofrio , Carlo Presilla

To model a complex system intrinsically separated by a barrier, we use two random Hamiltonians, coupled to each other either by a tunneling matrix element or by an intermediate transition state. We study that model in the universal limit of…

量子物理 · 物理学 2024-04-22 H. A. Weidenmüller

We study the tunneling of slow quantum packets through a high Coulomb barrier. We show that the transmission coefficient can be quite different from the standard expression obtained in the plane wave (WKB) approximation (and larger by many…

量子物理 · 物理学 2015-06-18 A. V. Dodonov , V. V. Dodonov

After a brief review of the derivation of the standard phase time formula, based on the use of the stationary phase method, we propose, in the opaque limit, an alternative method to calculate the phase time. The new formula for the phase…

量子物理 · 物理学 2015-05-27 Stefano De Leo , Vinicius Leonardi

The stationary phase method is often employed for computing tunneling {\em phase} times of analytically-continuous {\em gaussian} or infinite-bandwidth step pulses which collide with a potential barrier. The indiscriminate utilization of…

量子物理 · 物理学 2009-05-04 Alex E. Bernardini

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,…

量子物理 · 物理学 2009-11-10 P. C. W. Davies

Tunnelling is one of the most paradigmatic and evocative phenomena of quantum physics, underlying processes such as photosynthesis and nuclear fusion, as well as devices ranging from SQUID magnetometers to superconducting qubits for quantum…

原子物理 · 物理学 2019-08-02 Ramón Ramos , David Spierings , Isabelle Racicot , Aephraim M. Steinberg

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…

量子物理 · 物理学 2018-09-19 Ricardo Ximenes , Fernando Parisio , Eduardo O. Dias

Asymptotic time evolution of a wave packet describing a non-relativistic particle incident on a potential barrier is considered, using the Wigner phase-space distribution. The distortion of the trasmitted wave packet is determined by two…

量子物理 · 物理学 2007-05-23 M. S. Marinov , Bilha Segev

Biomolecular conformational transitions are usually modeled as barrier crossings in a free energy landscape. The transition paths connect two local free energy minima and transition path times (TPT) are the actual durations of the crossing…

统计力学 · 物理学 2021-10-26 Michele Caraglio , Takahiro Sakaue , Enrico Carlon

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…

统计力学 · 物理学 2018-12-10 M. Laleman , E. Carlon , H. Orland

We consider the role of quantum effects in the transfer of hyrogen-like species in enzyme-catalysed reactions. This study is stimulated by claims that the observed magnitude and temperature dependence of kinetic isotope effects imply that…

量子物理 · 物理学 2010-05-25 Jacques P. Bothma , Joel Gilmore , Ross H. McKenzie