Canonically Transformed Detectors Applied to the Classical Inverse Scattering Problem

DOI

10.2991/jnmp.2005.12.s1.33How to use a DOI?

Abstract

The concept of measurement in classical scattering is interpreted as an overlap of a particle packet with some area in phase space that describes the detector. Considering that usually we record the passage of particles at some point in space, a common detector is described e.g. for one-dimensional systems as a narrow strip in phase space. We generalize this concept allowing this strip to be transformed by some, possibly nolinear, canonical transformation, introducing thus a canonically transformed detector. We show such detectors to be useful in the context of the inverse scattering problem in situations where recently discovered scattering echoes could not be seen without their help. More relevant applications in quantum systems are suggested.

Copyright

© 2006, the Authors. Published by Atlantis Press.

Open Access

This is an open access article distributed under the CC BY-NC license (http://creativecommons.org/licenses/by-nc/4.0/).

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TY  - JOUR
AU  - C. Jung
AU  - T.H. Seligman
AU  - J.M. Torres
PY  - 2005
DA  - 2005/01/01
TI  - Canonically Transformed Detectors Applied to the Classical Inverse Scattering Problem
JO  - Journal of Nonlinear Mathematical Physics
SP  - 404
EP  - 411
VL  - 12
IS  - Supplement 1
SN  - 1776-0852
UR  - https://doi.org/10.2991/jnmp.2005.12.s1.33
DO  - 10.2991/jnmp.2005.12.s1.33
ID  - Jung2005
ER  -