Simple finite-dimensional model of the metastable state

• URL: http://arxiv.org/abs/2505.19449v1
• Date: Mon, 26 May 2025 03:15:52 GMT
• Title: Simple finite-dimensional model of the metastable state
• Abstract summary: The correctness of the approximate analytical solution was verified by direct numerical calculations.<n>The proposed model is a finite-dimensional analog of the Fano formalism.
• Score: 0.0
• License: http://arxiv.org/licenses/nonexclusive-distrib/1.0/
• 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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