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arXiv · 1205.0487

Hermitian and non-Hermitian formulations of the time evolution of quantum decay

Gastón García-Calderón·Alejandro Máttar·Jorge Villavicencio
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Abstract

This work discusses Hermitian and non-Hermitian formulations for the time evolution of quantum decay, that involve respectively, continuum wave functions and resonant states, to show that they lead to an identical description for a large class of well behaved potentials. Our approach is based on the analytical properties of the outgoing Green's function to the problem in the complex wave number plane.

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Gastón García-Calderón, Alejandro Máttar, Jorge Villavicencio. 2012-05-02. Hermitian and non-Hermitian formulations of the time evolution of quantum decay. https://doi.org/10.1088/0031-8949%2F2012%2Ft151%2F014076

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