Abstract
The atomic coordinates are eliminated exactly from the laser master equation with the help of a projector technique. The resulting integrodifferential equation for the field statistical operator with the kernel given correctly up to fourth order in the coupling constant is shown to be equivalent to a fourth order differential equation with respect to time. All theories footing on an “adiabatic” elimination procedure, especially the wellknown Fokker Planck equation treatment and a recently published theory containing a second order time derivative are shown to be successive approximations to our treatment. Non-Markoffian effects are discussed.
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The author whishes to express his deep gratitude to Profs. Haken and Weidlich and Dr. Risken for encouraging and very stimulating discussions.
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Haake, F. Non-Markoffian effects in the laser. Z. Physik 227, 179–194 (1969). https://doi.org/10.1007/BF01394616
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DOI: https://doi.org/10.1007/BF01394616