Matches in SemOpenAlex for { <https://semopenalex.org/work/W2050574873> ?p ?o ?g. }
- W2050574873 abstract "We derive the expression for the energy uncertainty of the final state of a decay of an unstable quantum state prepared at initial time $t=0$. This expression is a function of the time $t$ at which a measurement is performed to determine if the state has decayed and, if yes, in which one of the infinitely many possible final states. For large times the energy spread is, as expected, given by the decay width $ensuremath{Gamma}$ of the initial unstable state. However, if the measurement of the final state is performed at a time $t$ comparable to (or smaller than) the mean lifetime of the state $1/ensuremath{Gamma}$, then the uncertainty in the energy of the final state is much larger than the decay width $ensuremath{Gamma}$. Namely, for short times an uncertainty of type $1/t$ dominates, while at long times the usual spread $ensuremath{Gamma}$ is recovered. Then we turn to a generic two-body decay process and describe the energy uncertainty of each of the two outgoing particles. We apply these formulas to the two-body decays of neutral and charged pions and to the spontaneous emission process of an excited atom. As the last step, we study a case in which the nonexponential decay is realized and show that for short times eventual asymmetric terms are enhanced in the spectrum." @default.
- W2050574873 created "2016-06-24" @default.
- W2050574873 creator A5034665552 @default.
- W2050574873 date "2013-11-27" @default.
- W2050574873 modified "2023-09-25" @default.
- W2050574873 title "Energy uncertainty of the final state of a decay process" @default.
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- W2050574873 doi "https://doi.org/10.1103/physreva.88.052131" @default.
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