TY - JOUR
T1 - Universal potential-barrier penetration by initially confined wave packets
AU - Granot, Er'el
AU - Marchewka, Avi
N1 - Funding Information:
We thank S. L. Christian for initial STS (sequence-tagged site) mapping and for sharing her depth of chromosome 15 knowledge. We thank S. Zhang and J. Chung for excellent technical assistance. Samples from AS brain were a generous gift from D. Driscoll. Samples from normal brain and PWS brain were obtained, in part, via Miami Brain and Tissue Bank for Developmental Disorders contract NOI-HD-8-3284. Support for L.B.K.H. was provided by a Cure Autism Now (CAN) Foundation Young Investigator Award. Research funds were provided in part by the International Rett Syndrome Association and by National Institutes of Health grants R01 HD36111 (to D.H.L.) and R01 MH52223 and K02 MH01389 (both to E.H.C.).
PY - 2007/7/17
Y1 - 2007/7/17
N2 - The dynamics of an initially sharp-boundary wave packet in the presence of an arbitrary potential barrier is investigated. It is shown that the penetration through the barrier is universal in the sense that it depends only on the values of the wave function and its derivatives at the boundary. The dependence on the derivatives vanishes at long distances from the barrier, where the dynamics is governed solely by the initial value of the wave function at the boundary.
AB - The dynamics of an initially sharp-boundary wave packet in the presence of an arbitrary potential barrier is investigated. It is shown that the penetration through the barrier is universal in the sense that it depends only on the values of the wave function and its derivatives at the boundary. The dependence on the derivatives vanishes at long distances from the barrier, where the dynamics is governed solely by the initial value of the wave function at the boundary.
UR - https://www.scopus.com/pages/publications/34547154634
U2 - 10.1103/PhysRevA.76.012708
DO - 10.1103/PhysRevA.76.012708
M3 - ???researchoutput.researchoutputtypes.contributiontojournal.article???
AN - SCOPUS:34547154634
SN - 1050-2947
VL - 76
JO - Physical Review A - Atomic, Molecular, and Optical Physics
JF - Physical Review A - Atomic, Molecular, and Optical Physics
IS - 1
M1 - 012708
ER -