TY - JOUR
T1 - On the analytic structure of Green's function for the Fano-Anderson model
AU - Kogan, E.
PY - 2006
Y1 - 2006
N2 - 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.
AB - 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.
UR - https://scholar.google.co.il/scholar?q=On+the+analytic+structure+of+Green%27s+function+for+the+Fano+-+An-+derson+model&btnG=&hl=en&as_sdt=0%2C5
M3 - Article
JO - arXiv preprint quant-ph/0611043
JF - arXiv preprint quant-ph/0611043
ER -