dc.contributor.author |
Villavicencio, J |
|
dc.contributor.author |
Romo, R |
|
dc.contributor.author |
Silva, SSY |
|
dc.date.accessioned |
2011-01-22T10:26:49Z |
|
dc.date.available |
2011-01-22T10:26:49Z |
|
dc.date.issued |
2002 |
|
dc.identifier.issn |
1050-2947 |
|
dc.identifier.uri |
http://hdl.handle.net/11154/1797 |
|
dc.description.abstract |
By using an exact solution to the time-dependent Schrodinger equation with a point source initial condition, we investigate both the time and spatial dependence of quantum waves in a step potential barrier. We find that for a source with energy below the barrier height, and for distances larger than the penetration length, the probability density exhibits a forerunner associated with a nontunneling process, which propagates in space at exactly the semiclassical group velocity. We show that the time of arrival of the maximum of the forerunner at a given fixed position inside the potential is exactly the traversal time tau. We also show that the spatial evolution of this transient pulse exhibits an invariant behavior under a rescaling process. This analytic property is used to characterize the evolution of the forerunner, and to analyze the role played by the time of arrival 3(-1/2)tau found recently by Muga and Buttiker [Phys. Rev. A 62, 023808 (2000)]. |
en_US |
dc.language.iso |
en |
en_US |
dc.title |
Quantum-wave evolution in a step potential barrier |
en_US |
dc.type |
Article |
en_US |
dc.identifier.idprometeo |
2101 |
|
dc.identifier.doi |
10.1103/PhysRevA.66.042110 |
|
dc.source.novolpages |
66(4) |
|
dc.subject.wos |
Optics |
|
dc.subject.wos |
Physics, Atomic, Molecular & Chemical |
|
dc.description.index |
WoS: SCI, SSCI o AHCI |
|
dc.relation.journal |
Physical Review A |
|