# Dirac equation studies in the tunneling energy zone

@article{DeLeo2007DiracES, title={Dirac equation studies in the tunneling energy zone}, author={Stefano De Leo and Pietro P. Rotelli}, journal={The European Physical Journal C}, year={2007}, volume={51}, pages={241-247} }

We investigate the tunneling zone V0-m<E<V0+m for a one-dimensional potential in the Dirac equation. We find the appearance of superluminal transit times, akin to the Hartman effect.

## 21 Citations

### ANTIPARTICLES CREATION IN TUNNELING

- Physics
- 2013

We study particle interaction with a Dirac step potential. In the standard Klein energy zone, the hypothesis of Klein pair production predicts the existence of free/oscillatory antiparticles. In this…

### A study of transit times in Dirac tunneling

- Physics
- 2013

Based on the Dirac equation, the behavior of relativistic electrons which tunnel a potential barrier of height V0 for incoming energies between V0 and V0 + m is studied by using the wave packet…

### Wave and particle limit for multiple barrier tunneling

- Physics
- 2011

The particle approach to one-dimensional potential scattering is applied to non-relativistic tunneling between two, three and four identical barriers. We demonstrate as expected that the infinite sum…

### Localized beams and dielectric barriers

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- 2008

Recalling the similarities between the Maxwell equations for a transverse electric wave in a stratified medium and the quantum mechanical Schrodinger equation in a piecewise potential, we investigate…

### Relative helicity phases in planar Dirac scattering

- Physics
- 2012

We study planar Dirac scattering for an electrostatic stratified barrier potential. The general expressions for transmitted and reflected waves are derived. Of particular interest is the information…

### A Probability Distribution for Quantum Tunneling Times

- PhysicsAdvances in High Energy Physics
- 2018

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…

### The Dirac impenetrable barrier in the limit point of the Klein energy zone

- Physics
- 2022

We reanalyze the problem of a 1D Dirac single-particle colliding with the elec-trostatic potential step of height V 0 with an incoming energy that tends to the limit point of the so-called Klein…

### Planar Dirac diffusion

- Physics
- 2009

We present the results of the planar diffusion of a Dirac particle by step and barrier potentials, when the incoming wave impinges at an arbitrary angle with the potential. Except for right-angle…

### Degenerate solutions to the Dirac equation for massive particles and their applications in quantum tunneling

- PhysicsPhysica Scripta
- 2021

In a recent work we have proven the existence of degenerate solutions to the Dirac equation, corresponding to an infinite number of different electromagnetic fields, providing also some examples…

### Determination of the tunneling flight time as the reflected phase time

- PhysicsPhysical Review A
- 2021

Using the time parameter in the time-dependent Schr\"odinger equation, we study the time of flight for a particle tunneling through a square barrier potential. Comparing the mean and variance of the…

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