dorsal/arxiv
View SchemaCanonically Transformed Detectors Applied to the Classical Inverse Scattering Problem
| Authors | C Jung, T H Seligman, J M Torres |
|---|---|
| Categories | |
| ArXiv ID | physics/0504053 |
| URL | https://arxiv.org/abs/physics/0504053 |
| DOI | 10.2991/jnmp.2005.12.s1.33 |
| Journal | Journal of Nonlinear Mathematical Physics, 12, Supplement 1, 404 (2005) |
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 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.
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"abstract": "The concept of measurement in classical scattering is interpreted as an\noverlap of a particle packet with some area in phase space that describes the\ndetector. Considering that usually we record the passage of particles at some\npoint in space, a common detector is described e.g. for one-dimensional systems\nas a narrow strip in phase space. We generalize this concept allowing this\nstrip to be transformed by some, possibly non-linear, canonical transformation,\nintroducing thus a canonically transformed detector. We show such detectors to\nbe useful in the context of the inverse scattering problem in situations where\nrecently discovered scattering echoes could not be seen without their help.\nMore relevant applications in quantum systems are suggested.",
"arxiv_id": "physics/0504053",
"authors": [
"C Jung",
"T H Seligman",
"J M Torres"
],
"categories": [
"physics.class-ph"
],
"doi": "10.2991/jnmp.2005.12.s1.33",
"journal_ref": "Journal of Nonlinear Mathematical Physics, 12, Supplement 1, 404\n (2005)",
"title": "Canonically Transformed Detectors Applied to the Classical Inverse Scattering Problem",
"url": "https://arxiv.org/abs/physics/0504053"
},
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