Geodesic
$ABC$ formula and $R$-operation for quantum processes with unstable states
Teoretičeskaâ i matematičeskaâ fizika, Tome 149 (2006) no. 2, pp. 183-201

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For a wide class of Hamiltonians used in quantum field theory and statistical physics, we obtain an explicit formula describing the behavior of the vacuum expectation of the evolution operator on large, but finite, time intervals. This formula also holds for processes with unstable states.
Keywords: $R$-operation, process with unstable states, quantum dynamical system. 
@article{TMF_2006_149_2_a2,
     author = {D. V. Prokhorenko},
     title = {$ABC$ formula and $R$-operation for quantum processes with unstable states},
     journal = {Teoreti\v{c}eska\^a i matemati\v{c}eska\^a fizika},
     pages = {183--201},
     publisher = {mathdoc},
     volume = {149},
     number = {2},
     year = {2006},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/TMF_2006_149_2_a2/}
}
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D. V. Prokhorenko. $ABC$ formula and $R$-operation for quantum processes with unstable states. Teoretičeskaâ i matematičeskaâ fizika, Tome 149 (2006) no. 2, pp. 183-201. http://geodesic.mathdoc.fr/item/TMF_2006_149_2_a2/