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arxiv: 0711.3578 · v1 · submitted 2007-11-22 · 🪐 quant-ph

A formula for the spectral projection of the time operator

classification 🪐 quant-ph
keywords timedecreasingalgebraicallycontinuumdecayexcitedexponentiallyformula
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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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