dorsal/arxiv
View SchemaSpace-Time Approach to Scattering from Many Body Systems
| Authors | R. Gaehler, J. Felber, F. Mezei, R. Golub |
|---|---|
| Categories | |
| ArXiv ID | physics/9712029 |
| URL | https://arxiv.org/abs/physics/9712029 |
| DOI | 10.1103/PhysRevA.58.280 |
Abstract
We present scattering from many body systems in a new light. In place of the usual van Hove treatment, (applicable to a wide range of scattering processes using both photons and massive particles) based on plane waves, we calculate the scattering amplitude as a space-time integral over the scattering sample for an incident wave characterized by its correlation function which results from the shaping of the wave field by the apparatus. Instrument resolution effects - seen as due to the loss of correlation caused by the path differences in the different arms of the instrument are automatically included and analytic forms of the resolution function for different instruments are obtained. The intersection of the moving correlation volumes (those regions where the correlation functions are significant) associated with the different elements of the apparatus determines the maximum correlation lengths (times) that can be observed in a sample, and hence, the momentum (energy) resolution of the measurement. This geometrical picture of moving correlation volumes derived by our technique shows how the interaction of the scatterer with the wave field shaped by the apparatus proceeds in space and time. Matching of the correlation volumes so as to maximize the intersection region yields a transparent, graphical method of instrument design. PACS: 03.65.Nk, 3.80 +r, 03.75, 61.12.B
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"abstract": "We present scattering from many body systems in a new light. In place of the\nusual van Hove treatment, (applicable to a wide range of scattering processes\nusing both photons and massive particles) based on plane waves, we calculate\nthe scattering amplitude as a space-time integral over the scattering sample\nfor an incident wave characterized by its correlation function which results\nfrom the shaping of the wave field by the apparatus. Instrument resolution\neffects - seen as due to the loss of correlation caused by the path differences\nin the different arms of the instrument are automatically included and analytic\nforms of the resolution function for different instruments are obtained. The\nintersection of the moving correlation volumes (those regions where the\ncorrelation functions are significant) associated with the different elements\nof the apparatus determines the maximum correlation lengths (times) that can be\nobserved in a sample, and hence, the momentum (energy) resolution of the\nmeasurement. This geometrical picture of moving correlation volumes derived by\nour technique shows how the interaction of the scatterer with the wave field\nshaped by the apparatus proceeds in space and time. Matching of the correlation\nvolumes so as to maximize the intersection region yields a transparent,\ngraphical method of instrument design. PACS: 03.65.Nk, 3.80 +r, 03.75, 61.12.B",
"arxiv_id": "physics/9712029",
"authors": [
"R. Gaehler",
"J. Felber",
"F. Mezei",
"R. Golub"
],
"categories": [
"physics.optics"
],
"doi": "10.1103/PhysRevA.58.280",
"title": "Space-Time Approach to Scattering from Many Body Systems",
"url": "https://arxiv.org/abs/physics/9712029"
},
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