Low-energy relativistic effects and nonlocality in time-dependent tunneling

Details Low-energy relativistic effects and nonlocality in time-dependent tunneling Low-energy relativistic effects and nonlocality in time-dependent tunneling

2000-06-24

arxiv.org/abs/quant-ph/0006110v1

Phys. Rev. A 59 (3) 1758 (1999)

Physics

Quantum Physics

4 pages, 1 figure

Scientific paper

10.1103/PhysRevA.59.1758

We consider exact time-dependent analytic solutions to the Schr\"odinger equation for tunneling in one dimension with cut off wave initial conditions at $t=0$. We obtain that as soon as $t \neq 0$ the transmitted probability density at any arbitrary distance rises instantaneously with time in a linear manner. Using a simple model we find that the above nonlocal effect of the time-dependent solution is suppressed by consideration of low-energy relativistic effects. Hence at a distance $x_0$ from the potential the probability density rises after a time $t_0=x_0/c$ restoring Einstein causality. This implies that the tunneling time of a particle can never be zero.

Affiliated with

Also associated with

No associations

Rating

Low-energy relativistic effects and nonlocality in time-dependent tunneling does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.

If you have personal experience with Low-energy relativistic effects and nonlocality in time-dependent tunneling, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Low-energy relativistic effects and nonlocality in time-dependent tunneling will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-280469