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We introduce the concept of partial and full tunneling processes to explain the seemingly contradictory non-zero and vanishing tunneling times often reported in the literature. Our analysis starts by considering the traversal time of a…

Quantum Physics · Physics 2024-01-09 Philip Caesar M. Flores , Dean Alvin L. Pablico , Eric A. Galapon

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

The quantum tunneling effects between two metallic plates are studied using the time dependent density functional theory. Results show that the tunneling is mainly dependent on the separation and the initial local field of the interstice…

Mesoscale and Nanoscale Physics · Physics 2015-05-13 Li Mao , Zhipeng Li , Biao Wu , Hongxing Xu

We develop a semiclassical approach for the statistics of the time delay in quantum chaotic systems in the presence of a tunnel barrier, for broken time-reversal symmetry. Results are obtained as asymptotic series in powers of the…

Chaotic Dynamics · Physics 2023-02-20 Marcel Novaes , Jack Kuipers

If frequent measurements ascertain whether a quantum system is still in a given subspace, it remains in that subspace and a quantum Zeno effect takes place. The limiting time evolution within the projected subspace is called quantum Zeno…

Mathematical Physics · Physics 2010-02-04 Paolo Facchi , Marilena Ligabò

We study transitions of a particle between two wells, separated by a reservoir, under the condition that the particle is not detected in the reservoir. Conventional quantum trajectory theory predicts that such no-result continuous…

Quantum Physics · Physics 2015-06-18 Luting Xu , Yunshan Cao , Xin-Qi Li , YiJing Yan , Shmuel Gurvitz

A simple example of especially constructed potential barrier enables to show analytically (not numerically) the existence of tunneling effect for a Sommerfeld particle.

Classical Physics · Physics 2007-05-23 Alexander A. Vlasov

We present a methodology based on quantum mechanics for assigning quantum conductivity when an ac field is applied across a variable gap between two plasmonic nanoparticles with an insulator sandwiched between them. The quantum tunneling…

We calculate a tunneling time distribution by means of Nelson's quantum mechanics and investigate its statistical properties. The relationship between the average and deviation of tunneling time suggests the exsistence of ``wave-particle…

Quantum Physics · Physics 2009-11-07 Koh'ichiro Hara , Ichiro Ohba

We consider simple models of tunneling of an object with intrinsic degrees of freedom. This important problem was not extensively studied until now, in spite of numerous applications in various areas of physics and astrophysics. We show…

Nuclear Theory · Physics 2008-11-26 C. A. Bertulani , V. V. Flambaum , V. G. Zelevinsky

In the First Part of this paper [that was submitted for pub. in 1991 and appeared in print in Phys. Reports 214 (1992) 339] we critically review the main theoretical definitions and calculations of the sub-barrier tunnelling and reflection…

Condensed Matter · Physics 2007-09-17 Vladislav S. Olkhovsky , Erasmo Recami

We bring together the semiclassical approximation, matrix integrals and the theory of symmetric polynomials in order to solve a long standing problem in the field of quantum chaos: to compute transport moments when tunnel barriers are…

Mesoscale and Nanoscale Physics · Physics 2022-07-04 Lucas H. Oliveira , Pedro H. S. Bento , Marcel Novaes

The quantum Zeno effect, in its original form, uses frequent projective measurements to freeze the evolution of a quantum system that is initially governed by a fixed Hamiltonian. We generalize this effect simultaneously in three directions…

Mathematical Physics · Physics 2021-04-09 Tim Möbus , Michael M. Wolf

The tunneling effect is the most popular phenomenon of quantum physics and is present in modern physical theories. Still, the most important features of this effect are already present in toy models - low dimensional quantum mechanics with…

Quantum Physics · Physics 2013-02-07 Zbigniew Ambrozinski

The so-called quantum Zeno effect is essentially a consequence of the projection postulate for ideal measurements. To test the effect Itano et al. have performed an experiment on an ensemble of atoms where rapidly repeated level…

Quantum Physics · Physics 2014-11-18 Almut Beige , Gerhard C. Hegerfeldt , Dirk G. Sondermann

Superposition of trajectories, which modify quantum evolutions by superposing paths through interferometry, has been utilized to enhance various quantum communication tasks. However, little is known about its impact from the viewpoint of…

Quantum Physics · Physics 2023-07-28 Jhen-Dong Lin , Ching-Yu Huang , Neill Lambert , Guang-Yin Chen , Franco Nori , Yueh-Nan Chen

We compute tunneling in a quantum field theory in 1+1 dimensions for a field potential $U(\Phi)$ of the asymmetric double well type. The system is localized initially in the ``false vacuum''. We consider the case of a {\em compact space}…

High Energy Physics - Theory · Physics 2008-11-26 J. Baacke , N. Kevlishvili

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

In this continuation paper we will address the problem of tunneling. We will show how to settle this phenomenon within our classical interpretation. It will be shown that, rigorously speaking, there is no tunnel effect at all.

Quantum Physics · Physics 2007-05-23 L. S. F. Olavo

The phenomenon of quantum tunneling remains a fascinating and enigmatic one, defying classical notions of particle behavior. This paper presents a novel theoretical investigation of the tunneling phenomenon, from the viewpoint of Hartman…

Quantum Physics · Physics 2025-12-17 Massimiliano Sassoli de Bianchi