We treat the classical problem of a number of discrete states interacting with continua (Fano effect), by means of the recursion method. We first map a continuum of states on an equivalent semi-infinite linear chain; then we take advantage of the concepts and properties of the interaction and dipole carrying states to calculate the absorption spectrum. Our approach leads to a significant simplification of calculations without introducing approximations to the original problem. As an example, we consider the case of discrete states interacting with a semielliptical band: we show that resonances, antiresonances, and narrowing of levels, due to interference effects among interacting channels, can be handled in a very compact and simple way.
FANO EFFECT STUDIED WITH USE OF THE RECURSION METHOD
GROSSO, GIUSEPPE;
1992-01-01
Abstract
We treat the classical problem of a number of discrete states interacting with continua (Fano effect), by means of the recursion method. We first map a continuum of states on an equivalent semi-infinite linear chain; then we take advantage of the concepts and properties of the interaction and dipole carrying states to calculate the absorption spectrum. Our approach leads to a significant simplification of calculations without introducing approximations to the original problem. As an example, we consider the case of discrete states interacting with a semielliptical band: we show that resonances, antiresonances, and narrowing of levels, due to interference effects among interacting channels, can be handled in a very compact and simple way.I documenti in IRIS sono protetti da copyright e tutti i diritti sono riservati, salvo diversa indicazione.