A formula for the spectral projection of the time operator

Physics – Quantum Physics

Scientific paper

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This paper will be published in the proceeding of XXV Workshop on Geometric Methods in Physics in the Journal of Geometry and

Scientific paper

In this paper, we study the one-level Friedrichs model with using the quantum
time super-operator that predicts the excited state decay inside the continuum.
Its survival probability in long time limit is an algebraically decreasing
function and an exponentially decreasing multiplied by the oscillating
functions.

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