Phase space evolution and discontinuous Schrödinger waves
| Autor: | E Sadurní |
|---|---|
| Jazyk: | angličtina |
| Rok vydání: | 2012 |
| Předmět: |
Physics
Diffraction History Infinite set Quantum Physics DDC 530 / Physics Infinitesimal Wavelets (Mathematics) Discontinuous functions Computer Science Applications Education Wavelet Classical mechanics Phase space ddc:530 Wavelet-Analyse Affine transformation Wave function Constant (mathematics) Mathematical Physics Physics - Optics |
| DOI: | 10.18725/oparu-43642 |
| Popis: | The problem of Schr\"odinger propagation of a discontinuous wavefunction -diffraction in time- is studied under a new light. It is shown that the evolution map in phase space induces a set of affine transformations on discontinuous wavepackets, generating expansions similar to those of wavelet analysis. Such transformations are identified as the cause for the infinitesimal details in diffraction patterns. A simple case of an evolution map, such as SL(2) in a two-dimensional phase space, is shown to produce an infinite set of space-time trajectories of constant probability. The trajectories emerge from a breaking point of the initial wave. Comment: Presented at the conference QTS7, Prague 2011. 12 pages, 7 figures |
| Databáze: | OpenAIRE |
| Externí odkaz: |
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