Abstract
Star-unitary transformations, of the type developed by I. Prigogine and his group, are used to study the pulse excitation and subsequent decay of a single atom coupled to the electromagnetic field. A systematic perturbation scheme is proposed for atomic properties, valid without limitation of time scale or strength of pulse irradiation, provided that the total duration of the pulses is shorter than the radiative lifetimes. In the absence of irradiation, Bloch-like rate equations are obtained as an exact result (in the “thermodynamic limit” of a large box enclosing the field).
Similar content being viewed by others
References
I. Prigogine, C. George, F. Henin, and L. Rosenfeld,Chem. Scripta 4:5 (1973).
C. George, F. Henin, F. Mayné, and I. Prigogine,Hadronic J. 1:520 (1978).
C. George, F. Mayné, and I. Prigogine,Adv. Chem. Phys. 61:223 (1985).
L. Rosenfeld,Selected Papers of Léon Rosenfeld, R. S. Cohen and J. S. Stachel, eds. (Reidel, Dordrecht, 1979).
J. Jeener and F. Henin,Phys. Rev. A 34:4897 (1986).
J. Jeener,Adv. Magn. Resonance 10:1 (1982).
C. George,Physica 65:277 (1973).
F. Henin and F. Mayné,Physica 108A:281 (1981).
W. H. Louisell,Quantum Statistical Properties of Radiation (Wiley, New York, 1973).
M. de Haan,Bull. Acad. R. Belg. Cl. Sci. 63:69 (1977); Erratum63:605 (1977);Bull. Acad. R. Belg. Cl. Sci. 63:317 (1977).
M. de Haan and F. Henin,Physica 67:197 (1973).
M. de Haan, C. George, and F. Mayné,Physica 92A:584 (1978).
F. Henin,Physica 54:385 (1971);Bull. Acad. R. Belg. Cl. Sci. 56:1113 (1970).
F. Henin,Bull. Acad. R. Belg. Cl. Sci. 68:161 (1982).
M. L. Goldberger and K. M. Watson,Collision Theory (Wiley, New York, 1965).
P. V. Coveney,Physica 143A:507 (1987).
Author information
Authors and Affiliations
Rights and permissions
About this article
Cite this article
Henin, F., Jeener, J. Star-unitary transformations as a tool in single-atom pulse spectroscopy. J Stat Phys 48, 1321–1342 (1987). https://doi.org/10.1007/BF01009548
Received:
Issue Date:
DOI: https://doi.org/10.1007/BF01009548