Possibility of tunneling time determination
Abstract
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 propose a model of time measurements. The model provides a procedure for calculation of the asymptotic tunneling and reflection times. The model also demonstrates the impossibility of the determination of the time the tunneling particle spends under the barrier. Examples for δ form and rectangular barrier illustrate the obtained results.
- Publication:
-
Physical Review A
- Pub Date:
- May 2001
- DOI:
- 10.1103/PhysRevA.63.052107
- arXiv:
- arXiv:quant-ph/0101136
- Bibcode:
- 2001PhRvA..63e2107R
- Keywords:
-
- 03.65.Xp;
- 03.65.Ta;
- 03.65.Ca;
- 73.40.Gk;
- Tunneling traversal time quantum Zeno dynamics;
- Foundations of quantum mechanics;
- measurement theory;
- Formalism;
- Tunneling;
- Quantum Physics
- E-Print:
- 8 figures