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arXiv · 2505.19449

Simple finite-dimensional model of the metastable state

A. I. Dubikovsky·P. K. Silaev
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Abstract

We have constructed an approximate analytical solution of the spectral problem for a finite-dimensional matrix of a special kind, which turns out to be a very simple and quite satisfactory model of the metastable state. Most of the characteristic properties of the metastable state are reproduced: line shape, decay dynamics, and density of states. The correctness of the approximate analytical solution was verified by direct numerical calculations. The proposed model is a finite-dimensional analog of the Fano formalism.

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A. I. Dubikovsky, P. K. Silaev. 2025-05-26. Simple finite-dimensional model of the metastable state. https://doi.org/10.3103/s0027134925700298

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