Finite-time deviations from exponential decay in the case of spontaneous emission from a two-level hydrogenic atom

Seke, J.; Herfort, Wolfgang

doi:10.1103/physreva.40.1926

Cited by 34 publications

(34 citation statements)

References 17 publications

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“…Finally, it should be emphasized that our self-consistent POM leads to a closed EM which, despite the BA, is an exact equation for the restricted Hamiltonian. The applicability of the self-consistent POM for treating the non-Markovian behaviour in the case of spontaneous emission from a nonrelativistic and relativistic hydrogen atom has been demonstrated elsewhere [35][36][37][38].…”

Section: -Conclusion and Discussionmentioning

confidence: 99%

“…(2.31) (which follows in the BA from the Heisenberg EMs as well as from the ME obtained by Argyres-Kelley POM) the following EM for the probability a(t) of finding the atom in the excited state can be obtained: where I(u = ev + ~o) is evaluated in ref. [38], eqs. (2.5)-(2.7), and the path of integration C lies parallel to the imaginary axis in the complex z-plane, on the r.h.s, of all singularities of the integrand in eq.…”

Section: Appendixmentioning

confidence: 98%

“…eq. (2.12)) in the rotating-wave approximation takes the following form [38]: is the atom-field coupling constant which includes all the retardation effects [39], furthermore, y ~ l0 s s -1 is the Einstein coefficient for spontaneous Lyman-~ radiation, T0 ~ 1016 S-1 is the energy separation of the two atomic levels, and a0 ~ 109 cm the Bohr radius. In the case of spontaneous emission the atom and field are initially decoupled: (A.3) I~(0)) = I~(0))A | I~(0))R with the field (reservoir) being initially in vacuum state: I~(0))R = I{0}).…”

Section: Appendixmentioning

confidence: 99%

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What is wrong with the projection operator method? removal of inconsistencies and a new self-consistent method for non-Markovian treatment of atom-field interactions

Seke

1991

Nouv Cim D

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s knowledge, that the application of the projection-operator method leads to the violation of a consistency condition if the so-called Born approximation is employed. Namely, the violation of this consistency condition causes the appearence of negative probabilities in the non-Markovian master equation and thus makes the applicability of the projection-operator method questionable. Further, it is shown that an additional Markov approximation re-establishes the applicability of the method. Moreover, a new self-consistent projection-operator method for treating non-Markovian time evolution in the case of interactions between atoms and field (reservoir) is developed. Finally, in the appendix it is shown that, if the usual non-self-consistent projection-operator method in the Born approximation is applied to the case of spontaneous emission from a two-level hydrogen atom, a negative probability for finding the atom in the excited state emerges. PACS 42.50 -Quantum optics. PACS 05.30 -Quantum statistical mechanics.

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Section: -Conclusion and Discussionmentioning

confidence: 99%

Section: Appendixmentioning

confidence: 98%

Section: Appendixmentioning

confidence: 99%

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What is wrong with the projection operator method? removal of inconsistencies and a new self-consistent method for non-Markovian treatment of atom-field interactions

Seke

1991

Nouv Cim D

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“…Since the Lamb shift stemming from the real transition 2 P~ 1 S contributes dominantly to the discrete-spectrum part, we calculate it analytically [4]:…”

Section: Lamb-shift Contributionsmentioning

confidence: 99%

Discrete-spectrum contribution to the Lamb-shift of the 2S and 2P hydrogenic states

Seke

1994

Z Phys D - Atoms, Molecules and Clusters

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Abstract.A general formula due to Moses [Phys. Rev. A 8, 1710(1973] for exact electric and magnetic multipole transition matrix elements in nonrelativistic hydrogenic atoms is reduced by carrying out additional integrations. By using the obtained reduced formula unrenormalized (finite) and renormalized Lamb-shift contributions stemming from individual discrete states as well as from the whole discrete spectrum are calculated in the case of the states 2S and 2P.

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“…The effect of the anti-resonant terms in the Hamiltonian on the Lamb shift of the energy levels in the process of spontaneous decay is also of interest. In the papers Seke and Herfort [19,20], Facchi and Pascazio [8] an interesting mathematical study of this problem is given.…”

Section: Introductionmentioning

confidence: 99%

Time Evolution of Spontaneous Emission Rate of Two Undistinguished Radiators

Enaki

Galeamov

2007

Int J Theor Phys

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The behavior of the system of radiators at short and long time intervals in comparison with the retardation between them is studied. The entanglement behavior of atomic states in the process of spontaneous emission is determined. It is demonstrated that at a short time interval the rate of spontaneous emission in an oscillatory manner tends to the exponential law of spontaneous emission. The simple kinetic equation, which describes this stage of system evolution, is obtained.

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Finite-time deviations from exponential decay in the case of spontaneous emission from a two-level hydrogenic atom

Cited by 34 publications

References 17 publications

What is wrong with the projection operator method? removal of inconsistencies and a new self-consistent method for non-Markovian treatment of atom-field interactions

What is wrong with the projection operator method? removal of inconsistencies and a new self-consistent method for non-Markovian treatment of atom-field interactions

Discrete-spectrum contribution to the Lamb-shift of the 2S and 2P hydrogenic states

Time Evolution of Spontaneous Emission Rate of Two Undistinguished Radiators

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