Quantum Tunneling Time in the Light Front
May 25, 2020
May 26, 2020
In this paper we study the quantum tunneling time in the light-front using the technique of dwell time (or delay time). We introduce this method of calculation considering the delay time for the Schr\"odinger equation. Then, as we consider the relativistic Klein-Gordon equation, we face a problem, because the probability density for this case is not positive definite, and the delay time technique becomes inapplicable here. Other techniques have been devised to tackle this issue, but comparison of results becomes difficult because methods used are different. Therefore, there is a discrepancy in the tunneling time assessment for the low-energy non relativistic and relativistic case. By treating the Klein-Gordon equation in the light-front, we show that this discrepancy disappears.
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