TY - JOUR

T1 - Estimate for regeneration up to the golden rule time

AU - Antoniou, I.

AU - Levitan, J.

AU - Horwitz, L. P.

PY - 1993

Y1 - 1993

N2 - The authors study the regeneration contribution to the decay law in Wigner-Weisskopf theory for times less than and up to the golden rule time. A power series expansion for the regeneration term and the part of the product of the amplitudes which has the semigroup property is carried out in second-order perturbation theory, the same order to which the Wigner-Weisskopf calculation is carried out in their estimate of the line widths in atomic decay. They show that the regeneration contribution as a smaller leading behaviour in t than the amplitudes at times of the order of the golden rule time, thus accounting for an approximate semigroup behaviour, on this scale, within the framework of the Wigner-Weisskopf theory. For very short times, the estimates of Misra and Sinha (1977) are obtained.

AB - The authors study the regeneration contribution to the decay law in Wigner-Weisskopf theory for times less than and up to the golden rule time. A power series expansion for the regeneration term and the part of the product of the amplitudes which has the semigroup property is carried out in second-order perturbation theory, the same order to which the Wigner-Weisskopf calculation is carried out in their estimate of the line widths in atomic decay. They show that the regeneration contribution as a smaller leading behaviour in t than the amplitudes at times of the order of the golden rule time, thus accounting for an approximate semigroup behaviour, on this scale, within the framework of the Wigner-Weisskopf theory. For very short times, the estimates of Misra and Sinha (1977) are obtained.

UR - http://www.scopus.com/inward/record.url?scp=21144470577&partnerID=8YFLogxK

U2 - 10.1088/0305-4470/26/13/026

DO - 10.1088/0305-4470/26/13/026

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AN - SCOPUS:21144470577

SN - 0305-4470

VL - 26

SP - 3243

EP - 3248

JO - Journal of Physics A: Mathematical and General

JF - Journal of Physics A: Mathematical and General

IS - 13

M1 - 026

ER -