2005
DOI: 10.1590/s0103-97332005000300010
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Abstract: The decaying behavior of both the survival S(t) and total P (t) probabilities for unstable multilevel systems at long times is investigated by using the N -level Friedrichs model. The long-time asymptotic-forms of both S(t) and P (t) are obtained for an arbitrary initial-state extending over the unstable levels. It is then clarified how the asymptotic forms depend on the initial population in unstable levels. In particular, a special initial state that maximizes the asymptotic form of both S(t) and P (t) is fo… Show more

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Cited by 3 publications
(3 citation statements)
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References 26 publications
(49 reference statements)
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“…This is a model which aims to describe the basic features of resonance phenomena and was introduced by Friedrichs in 1948 (see [12,13]. Some of the unstable systems can be reduced into this Friedrichs model which allows one to investigate the decaying behavior concerning such processes as the spontaneous emission of photons from the atoms [28].…”
Section: The Friedrichs Models and Their Generalizationsmentioning
confidence: 99%
“…This is a model which aims to describe the basic features of resonance phenomena and was introduced by Friedrichs in 1948 (see [12,13]. Some of the unstable systems can be reduced into this Friedrichs model which allows one to investigate the decaying behavior concerning such processes as the spontaneous emission of photons from the atoms [28].…”
Section: The Friedrichs Models and Their Generalizationsmentioning
confidence: 99%
“…We treat the atom as a fourlevel system composed of the ground state and the three excited states: the 2p, 3p, and 4p state. The form factors corresponding to the 2p − 1s, 3p − 1s, and 4p − 1s transitions were obtained as follows [13,22,23],…”
Section: Absence Of Bound-state Eigenenergy Inside the Continuummentioning
confidence: 99%
“…Further research has been directed to those eigenstates, aiming at the decoherence control [8,9] In these analyses, however, single-level systems are treated often, while multilevel systems are less examined. In the latter, some peculiar time evolutions are theoretically observed: steplike decay [10], decaying oscillation [11], and various long-time nonexponential decays [12,13]. These peculiarities are never found in singlelevel approaches.…”
Section: Introductionmentioning
confidence: 99%