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arXiv:1603.02907

Heuristic arguments in favor of the view that the forces which form the bound systems of elementary particles propagate instantaneously

I. Aničin

Published Mar 7, 2016• 0 citations
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Abstract

We make use of the well-known properties of spontaneous decays of stationary states of bound systems of elementary particles to support the view that the forces which form these systems propagate instantaneously at the moment of their decay.
DOI
10.48550/arxiv.1603.02907

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We consider the dynamics of quantum systems which possess stationary states as well as slowly decaying, metastable states arising from the perturbation of bound states. We give a decomposition of the propagator into a sum of a stationary part, one exponentially decaying in time and a polynomially decaying remainder. The exponential decay rates and the directions of decay in Hilbert space are determined, respectively, by complex resonance energies and by projections onto resonance states. Our approach is based on an elementary application of the Feshbach map. It is applicable to open quantum systems and to situations where spectral deformation theory fails. We derive a detailed description of the dynamics of the spin-boson model at arbitrary coupling strength.
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