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After reexamining the above barrier diffusion problem where we notice that the wave packet collision implies the existence of {\em multiple} reflected and transmitted wave packets, we analyze the way of obtaining phase times for…

高能物理 - 唯象学 · 物理学 2010-10-27 Alex E. Bernardini

In this paper, we calculate the transmission and reflection amplitudes of wave functions for different potentials such as the delta function, the rectangular barrier, the Eckart potential, and the Hulthen potential. We describe the…

数学物理 · 物理学 2014-07-03 Tritos Ngampitipan , Petarpa Boonserm

People are familiar with quantum mechanical reflection and transmission coefficient. In all those cases corresponding potentials are usually assumed as of constant height and depth. For the cases of varying potential, corresponding…

数学物理 · 物理学 2007-05-23 Banibrata Mukhopadhyay

We study the time required for a wave packet to tunnel beyond a square barrier, or to be reflected, by envisaging a physical clock which ticks only when the particle is within the barrier region. The clock consists in a magnetic moment…

量子物理 · 物理学 2008-02-03 Andrea Begliuomini , Luciano Bracci

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…

量子物理 · 物理学 2007-05-23 N. L. Chuprikov

As was shown in quant-ph/0405028, the state of a tunneling particle can be uniquely presented as a coherent superposition of two states to describe alternative sub-processes, transmission and reflection. In this paper, on the basis of the…

量子物理 · 物理学 2007-05-23 N. L. Chuprikov

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

The phenomenon of quantum tunneling is reviewed and an overview of applying approximate methods for studying this effect is given. An approach to a time-dependent formalism is proposed in one dimension and generalized to higher dimensions.…

数学物理 · 物理学 2010-02-03 Paul Bracken

Quantum mechanical tunneling across smooth double barrier potentials modeled using Gaussian functions, is analyzed numerically and by using the WKB approximation. The transmission probability, resonances as a function of incident particle…

量子物理 · 物理学 2021-10-26 Avik Dutt , Sayan Kar

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…

量子物理 · 物理学 2007-05-23 J. Leon , J. Julve , P. Pitanga , F. J. de Urries

We study the evolution of a wave packet impinging onto a one dimensional potential barrier. The transmission and reflection times discussed in the literature for stationary states do not correspond to the times required for the emergence of…

量子物理 · 物理学 2008-02-03 Andrea Begliuomini , Luciano Bracci

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…

量子物理 · 物理学 2009-11-10 Alex E. Bernardini

The Bohm interpretation of quantum mechanics is applied to a transmission and reflection process in a double potential well. We consider a time dependent periodic wave function and study the particle trajectories. The average time,…

量子物理 · 物理学 2009-11-07 Regien G. Stomphorst

We show that it is impossible to determine the time a tunneling particle spends under the barrier. However, it is possible to determine the asymptotic time, i.e., the time the particle spends in a large area including the barrier. We…

量子物理 · 物理学 2009-11-07 Julius Ruseckas

The tunneling time is here investigated by means of an electromagnetic model, for a system where a gap, between two parallel planes, acts as a classically-forbidden region for an impinging pulse with incidence angle larger than the critical…

光学 · 物理学 2007-05-23 D. Mugnai , A. Ranfagni , L. Ronchi

We present a renewed wave-packet analysis based on the following ideas: if a quantum one-particle scattering process and the corresponding state are described by an indivisible wave packet to move as a whole at all stages of scattering,…

量子物理 · 物理学 2007-05-23 N. L. Chuprikov

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…

混沌动力学 · 物理学 2023-02-20 Marcel Novaes , Jack Kuipers

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…

综合物理 · 物理学 2017-09-27 A. Haibel , G. Nimtz

Negative refraction is a peculiar wave propagation phenomenon that occurs when a wave crosses a boundary between a regular medium and a medium with both constitutive parameters negative at the given frequency. The phase and group velocities…

光学 · 物理学 2022-09-23 Or Lasri , Lea Sirota

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
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