dorsal/arxiv
View SchemaOn the analytic structure of Green's function for the Fano - Anderson model
| Authors | E. Kogan |
|---|---|
| Categories | |
| ArXiv ID | quant-ph/0611043 |
| URL | https://arxiv.org/abs/quant-ph/0611043 |
Abstract
We study analytic structure of the Green's function (GF) for the exactly solvable Fano-Anderson model. We analyze the GF poles, branch points and Riemann surface, and show how the Fermi's Golden Rule, valid in perturbative regime for not to large time, appears in this context. The knowledge of analytic structure of the GF in frequency representation opens opportunities for obtaining formulas for the GF in time representation alternative to the standard one using the spectral density.
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"date_created": "2026-03-02T18:02:30.551000Z",
"date_modified": "2026-03-02T18:02:30.551000Z",
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"record": {
"abstract": "We study analytic structure of the Green\u0027s function (GF) for the exactly\nsolvable Fano-Anderson model. We analyze the GF poles, branch points and\nRiemann surface, and show how the Fermi\u0027s Golden Rule, valid in perturbative\nregime for not to large time, appears in this context. The knowledge of\nanalytic structure of the GF in frequency representation opens opportunities\nfor obtaining formulas for the GF in time representation alternative to the\nstandard one using the spectral density.",
"arxiv_id": "quant-ph/0611043",
"authors": [
"E. Kogan"
],
"categories": [
"quant-ph",
"cond-mat.mes-hall"
],
"title": "On the analytic structure of Green\u0027s function for the Fano - Anderson model",
"url": "https://arxiv.org/abs/quant-ph/0611043"
},
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