Sech wave packets, their Wigner functions and Bohmian trajectories

Jeremy Schiff; Bill Poirier

doi:10.1088/1751-8113/45/40/405302

Sech wave packets, their Wigner functions and Bohmian trajectories

Jeremy Schiff, Bill Poirier

Department of Mathematics

Bar-Ilan University

Research output: Contribution to journal › Article › peer-review

Abstract

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.

Original language	English
Article number	405302
Journal	Journal of Physics A: Mathematical and Theoretical
Volume	45
Issue number	40
DOIs	https://doi.org/10.1088/1751-8113/45/40/405302
State	Published - 12 Oct 2012

All Science Journal Classification (ASJC) codes

Statistical and Nonlinear Physics
Statistics and Probability
Modelling and Simulation
Mathematical Physics
General Physics and Astronomy

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10.1088/1751-8113/45/40/405302

Cite this

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title = "Sech wave packets, their Wigner functions and Bohmian trajectories",

abstract = "The free particle non-relativistic Schr{\"o}dinger 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.",

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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.

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DO - 10.1088/1751-8113/45/40/405302

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JO - Journal of Physics A: Mathematical and Theoretical

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Sech wave packets, their Wigner functions and Bohmian trajectories

Abstract

All Science Journal Classification (ASJC) codes

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