TY - JOUR
T1 - Sech wave packets, their Wigner functions and Bohmian trajectories
AU - Schiff, Jeremy
AU - Poirier, Bill
PY - 2012/10/12
Y1 - 2012/10/12
N2 - The free particle non-relativistic Schrödinger evolution of a sech wave packet, and the corresponding Wigner function and Bohmian trajectories, are studied. The overall translation and dispersion dynamics are qualitatively similar to corresponding Gaussian wave packets, as is to be expected. On the other hand, certain bizarre and completely unexpected features are also observed, such as wave packet pinching and the instantaneous formation of infinitely many nodes, despite the apparent lack of an interference source.
AB - The free particle non-relativistic Schrödinger evolution of a sech wave packet, and the corresponding Wigner function and Bohmian trajectories, are studied. The overall translation and dispersion dynamics are qualitatively similar to corresponding Gaussian wave packets, as is to be expected. On the other hand, certain bizarre and completely unexpected features are also observed, such as wave packet pinching and the instantaneous formation of infinitely many nodes, despite the apparent lack of an interference source.
UR - http://www.scopus.com/inward/record.url?scp=84866533513&partnerID=8YFLogxK
U2 - 10.1088/1751-8113/45/40/405302
DO - 10.1088/1751-8113/45/40/405302
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AN - SCOPUS:84866533513
SN - 1751-8113
VL - 45
JO - Journal of Physics A: Mathematical and Theoretical
JF - Journal of Physics A: Mathematical and Theoretical
IS - 40
M1 - 405302
ER -