Abstract

Tunneling is undoubtedly the most important quantum phenomena with a wide range of applications. Like other physical phenomena, it should be possible to understand tunneling phenomena from a spatial and also from a temporal point of view (see Fig. 6.1). Of interest from a spatial point of view is the question as to how many particles initially on one side of the barrier will finally be found on the other side of the barrier at sufficiently later times. We are thus led to the concept of tunneling probability. Of interest from a temporal point of view would be the tunneling time, that is, the time a particle ‘spends’ in the barrier region. From a spacetime point of view, it seems natural to characterize tunneling phenomena according to the two quantities tunneling probability and tunneling time.

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