Physics – Quantum Physics
Scientific paper
2005-11-03
Physics
Quantum Physics
13 pages, Revtex, 1 eps-figure; the abstract is rewritten; The Larmor time is expressed in terms of the dwell time
Scientific paper
A {\it completed} scattering of a particle on a static one-dimensional (1D) potential barrier is a combined quantum process to consist from two elementary sub-processes (transmission and reflection) evolved coherently at all stages of scattering and macroscopically distinct at the final stage. The existing model of the process is clearly inadequate to its nature: all one-particle "observables" and "tunneling times", introduced as quantities to be common for the sub-processes, cannot be experimentally measured and, consequently, have no physical meaning; on the contrary, quantities introduced for either sub-process have no basis, for the time evolution of either sub-process is unknown in this model. We show that the wave function to describe a completed scattering can be uniquely presented as the sum of two solutions to the Schr\"odinger equation, which describe separately the sub-processes at all stages of scattering. For symmetric potential barriers such solutions are found explicitly. For either sub-process we define the time spent, on the average, by a particle in the barrier region. We define it as the Larmor time. As it turned out, this time is just Buttiker's dwell time averaged over the corresponding localized state. Thus, firstly, we justify the known definition of the local dwell time introduced by Hauge and co-workers as well by Leavens and Aers, for now this time can be measured; secondly, we confirm that namely Buttiker's dwell time gives the energy-distribution for the tunneling time; thirdly, we state that all the definitions are valid only if they are based on the wave functions for transmission and reflection found in our paper. Besides, we define the exact and asymptotic group times to be auxiliary in timing the scattering process.
No associations
LandOfFree
Temporal aspects of one-dimensional completed scattering: An alternative view 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 Temporal aspects of one-dimensional completed scattering: An alternative view, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Temporal aspects of one-dimensional completed scattering: An alternative view will most certainly appreciate the feedback.
Profile ID: LFWR-SCP-O-483393