Physics – Classical Physics
Scientific paper
2005-04-08
Journal of Nonlinear Mathematical Physics, 12, Supplement 1, 404 (2005)
Physics
Classical Physics
8 pages, 15 figures. Better figures can be found in the original article, wich can be found in http://www.sm.luth.se/~norber
Scientific paper
10.2991/jnmp.2005.12.s1.33
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 non-linear, 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.
Jung Chulwoo
Seligman Thomas H.
Torres Juan Mauricio
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