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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…

Quantum Physics · Physics 2026-03-23 Roman Michelko , Peter Bokes

Tunnelling transit time for a frustrated total internal reflection in a double-prism experiment was measured using microwave radiation. We have found that the transit time is of the same order of magnitude as the corresponding transit time…

General Physics · Physics 2017-09-27 A. Haibel , G. Nimtz

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…

Quantum Physics · Physics 2007-05-23 M. S. Marinov , Bilha Segev

We study the crossing time statistic of diffusing point particles between the two ends of expanding and narrowing two-dimensional conical channels under a transverse external gravitational field. The theoretical expression for the mean…

Statistical Mechanics · Physics 2023-01-11 Ivan Pompa-Garcia , Rodrigo Castilla , Ralf Metzler , Leonardo Dagdug

A 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…

Quantum Physics · Physics 2021-02-08 D. Sokolovski , E. Akhmatskaya

The question in the title may be answered by considering the outcome of a ``weak measurement'' in the sense of Aharonov et al. Various properties of the resulting time are discussed, including its close relation to the Larmor times. It is a…

Quantum Physics · Physics 2016-09-08 Aephraim M. Steinberg

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…

Quantum Physics · Physics 2009-05-04 Alex E. Bernardini

We present a simple model of composite particle tunnelling through a rectangular potential barrier in presence of magnetic field. The exact numerical solution of the problem is provided and the applicability to real physical situations is…

Quantum Physics · Physics 2024-10-22 Bernard Faulend , Jan Dragašević

Tunneling is an important physical process. The observation that particles surmount a high mountain in spite of the fact that they don't have the necessary energy cannot be explained by classical physics. However, this so called tunneling…

Quantum Physics · Physics 2009-11-13 G. Nimtz , A. A. Stahlhofen

A unified approach to the time analysis of tunnelling of nonrelativistic particles is presented, in which Time is regarded as a quantum-mechanical observable, canonically conjugated to Energy. The validity of the Hartman effect…

Quantum Physics · Physics 2009-11-07 Vladislav S. Olkhovsky , Erasmo Recami , Jacek Jakiel

A curious feature of quantum tunneling known as the MacColl-Hartman effect results in the numerical observation that particles can traverse a barrier with effective superluminal speed. However, because tunneling is never certain, any…

Quantum Physics · Physics 2023-05-22 Randall S. Dumont , Tom Rivlin

The measurement of tunneling times in strong-field ionization has been the topic of much controversy in recent years, with the attoclock and Larmor clock being two of the main contenders for correctly reproducing these times. By expressing…

Quantum Physics · Physics 2025-05-01 Pablo Martin Maier , Serguei Patchkovskii , Mikhail Ivanov , Olga Smirnova

The model of weak measurements is applied to various problems, related to the time problem in quantum mechanics. The review and generalization of the theoretical analysis of the time problem in quantum mechanics based on the concept of weak…

Quantum Physics · Physics 2015-06-26 J. Ruseckas , B. Kaulakys

Using a recently developed procedure - multiple wave packet decomposition - here we study the phase time formulation for tunneling/reflecting particles colliding with a potential barrier. To partially overcome the analytical difficulties…

Quantum Physics · Physics 2009-11-10 Alex E. Bernardini

We investigate the tunneling time of a wave packet propagating through a non-Hermitian potential $V_{r} - iV_{i}$ in space-fractional quantum mechanics. By applying the stationary phase method, we derive a closed-form expression for the…

Quantum Physics · Physics 2025-04-08 Mohammad Umar , Vibhav Narayan Singh , Bhabani Prasad Mandal

We study the first hitting time statistics between a one-dimensional run-and-tumble particle and a target site that switches intermittently between visible and invisible phases. The two-state dynamics of the target is independent of the…

Statistical Mechanics · Physics 2021-05-05 Gabriel Mercado-Vásquez , Denis Boyer

We propose a general expression for the probability distribution of real-valued tunneling times of a localized particle, as measured by the Salecker-Wigner-Peres quantum clock. This general expression is used to obtain the distribution of…

Quantum Physics · Physics 2018-07-06 José T. Lunardi , Luiz A. Manzoni

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

In this paper we study the tunneling using a background independent (polymer) quantization scheme. We show that at low energies, for the tunneling through a single potential barrier, the polymer transmission coefficient and the polymer…

Quantum Physics · Physics 2014-08-29 A. Martín-Ruiz , E. Chan-López , A. Carbajal-Domínguez , J. Bernal

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…