Short time propagation of a singular wave function: Some surprising results

A. Marchewka, E. Granot, Z. Schuss

Research output: Contribution to journalArticlepeer-review

Abstract

The Schrödinger evolution of an initially singular wave function was investigated. First it was shown that a wide range of physical problems can be described by initially singular wave function. Then it was demonstrated that outside the support of the initial wave function the time evolution is governed to leading order by the values of the wave function and its derivatives at the singular points. Short-time universality appears where it depends only on a single parameter-the value at the singular point (not even on its derivatives). It was also demonstrated that the short-time evolution in the presence of an absorptive potential is different than in the presence of a nonabsorptive one. Therefore, this dynamics can be harnessed to the determination whether a potential is absorptive or not simply by measuring only the transmitted particles density.

Original languageEnglish
Pages (from-to)330-335
Number of pages6
JournalOptics and Spectroscopy (English translation of Optika i Spektroskopiya)
Volume103
Issue number2
DOIs
StatePublished - Aug 2007

Fingerprint

Dive into the research topics of 'Short time propagation of a singular wave function: Some surprising results'. Together they form a unique fingerprint.

Cite this