dorsal/arxiv
View SchemaQuantum Multiple Scattering: Eigenmode Expansion and Its Applications to Proximity Resonance
| Authors | Sheng Li, Eric J. Heller |
|---|---|
| Categories | |
| ArXiv ID | physics/0112044 |
| URL | https://arxiv.org/abs/physics/0112044 |
Abstract
We show that for a general system of N s-wave point scatterers, there are always N eigenmodes. These eigenmodes or eigenchannels play the same role as spherical harmonics for a spherically symmetric target--they give a phase shift only. In other words, the T matrix of the system is of rank N and the eigenmodes are eigenvectors corresponding to non-0 eigenvalues of the T matrix. The eigenmode expansion approach can give insight to the total scattering cross section; the position, width, and superradiant or subradiant nature of resonance peaks; the unsymmetric Fano lineshape of sharp proximity resonance peaks based on the high energy tail of a broad band; and other properties. Off-resonant eigenmodes for identical proximate scatterers are approximately angular momentum eigenstates.
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"abstract": "We show that for a general system of N s-wave point scatterers, there are\nalways N eigenmodes. These eigenmodes or eigenchannels play the same role as\nspherical harmonics for a spherically symmetric target--they give a phase shift\nonly. In other words, the T matrix of the system is of rank N and the\neigenmodes are eigenvectors corresponding to non-0 eigenvalues of the T matrix.\nThe eigenmode expansion approach can give insight to the total scattering cross\nsection; the position, width, and superradiant or subradiant nature of\nresonance peaks; the unsymmetric Fano lineshape of sharp proximity resonance\npeaks based on the high energy tail of a broad band; and other properties.\nOff-resonant eigenmodes for identical proximate scatterers are approximately\nangular momentum eigenstates.",
"arxiv_id": "physics/0112044",
"authors": [
"Sheng Li",
"Eric J. Heller"
],
"categories": [
"physics.atom-ph",
"quant-ph"
],
"title": "Quantum Multiple Scattering: Eigenmode Expansion and Its Applications to Proximity Resonance",
"url": "https://arxiv.org/abs/physics/0112044"
},
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