Year: 2025
Type: article
Abstract: We have constructed an approximate analytical solution to the spectral problem for a finite-dimensional matrix of a special form, which proves to be a very simple and sufficiently satisfactory model of the metastable state. This model reproduces most of the characteristic properties of the metastable state, including the line shape, decay dynamics, and density of states. The accuracy of the approximate analytical solution was verified through direct numerical calculations. The proposed model represents a finite-dimensional analog of the Fano formalism.
Authors: A. I. Dubikovsky, P. K. Silaev
Institution: Lomonosov Moscow State University
Language: English
Subfield: Statistical and Nonlinear Physics
Field: Physics and Astronomy
Domain: Physical Sciences
Open Access status: green
OpenAlex ID: W4412374232