On the question of the classical analogue of the Fano problem

TL;DR

This paper explores a classical oscillator system analogous to Fano's quantum problem, analyzing the continuous spectrum limit and its relation to coherent phonon generation.

Contribution

It introduces a classical analogue of Fano's quantum system and investigates the continuous spectrum limit and potential links to coherent phonon phenomena.

Findings

Classical oscillator system mimics Fano's quantum interference effects.

Analysis of the continuous spectrum limit reveals insights into classical-quantum correspondence.

Potential connection established between the classical model and coherent phonon generation.

Abstract

A system of interacting classical oscillators is discussed, similar to a quantum mechanical system of a discrete energy level, interacting with the energy quasi-continuum of states considered Fano. The limit of a continuous spectrum is analyzed together with the possible connection of the problem under study with the generation of coherent phonons.