Non-exponential Auger decay

Hidden evidence of non-exponential nuclear decay

The framework to describe natural phenomena at their basics being quantum mechanics, there exist a large number of common global phenomena occurring in different branches of natural sciences. One such global phenomenon is spontaneous quantum decay. However, its long time behaviour is experimentally poorly known. Here we show, that by combining two genuine quantum mechanical results, it is possi...

Three-electron collective Auger decay in CH3F

KLL Auger decay in free aluminum atoms

The KLL Auger transitions in free atoms present the simplest nonradiative electronic decay channel and therefore are of fundamental theoretical interest. Atomic spectra are advantageous for detailed theoretical analysis because the solid-state and molecular environments cause additional demands for the interpretation of spectra. Besides Ne 1,2 and Ar 3 rare gases, only the KLL spectra of Na 4 a...

Exponential Decay and Ionization Thresholds in Non-Relativistic Quantum Electrodynamics

Spatial localization of the electrons of an atom or molecule is studied in models of nonrelativistic matter coupled to quantized radiation. We give two definitions of the ionization threshold. One in terms of spectral data of cluster Hamiltonians, and one in terms of minimal energies of non-localized states. We show that these two definitions agree, and that the electrons described by a state w...

On (non-)exponential decay in generalized thermoelasticity with two temperatures

We study solutions for the one-dimensional problem of the Green-Lindsay and the Lord-Shulman theories with two temperatures. First, existence and uniqueness of weakly regular solutions are obtained. Second, we prove the exponential stability in the Green-Lindsay model, but the nonexponential stability for the Lord-Shulman model.