Time of arrival through interacting environments: Tunneling processes

Details Time of arrival through interacting environments: Tunneling processes Time of arrival through interacting environments: Tunneling processes

1999-12-26

arxiv.org/abs/quant-ph/9912109v2

Phys.Rev. A62 (2000) 22101

Physics

Quantum Physics

Latex 19 pages, 11 eps figures, title modified, comments and references added, final version

Scientific paper

10.1103/PhysRevA.62.022101

We discuss the propagation of wave packets through interacting environments. Such environments generally modify the dispersion relation or shape of the wave function. To study such effects in detail, we define the distribution function P_{X}(T), which describes the arrival time T of a packet at a detector located at point X. We calculate P_{X}(T) for wave packets traveling through a tunneling barrier and find that our results actually explain recent experiments. We compare our results with Nelson's stochastic interpretation of quantum mechanics and resolve a paradox previously apparent in Nelson's viewpoint about the tunneling time.

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