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Solutions of Fokker-Planck Equations in Terms of Matrix Continued Fractions

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Lasers and Synergetics

Part of the book series: Springer Proceedings in Physics ((SPPHY,volume 19))

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Abstract

Synergetics deals with complicated systems consisting of very many subsystems. As one of Haken’s famous examples [1-4] let us consider the laser systems. Here a few light modes are coupled to the many active atoms (subsystems) in the laser cavity. A total description of such a system would require very many variables. In general such a detailed microscopic description is not needed. Instead we are only interested in a few relevant variables, which describe the system on a macroscopic scale. In the laser the few light modes are such relevant macroscopic variables.

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© 1987 Springer-Verlag Berlin Heidelberg

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Risken, H. (1987). Solutions of Fokker-Planck Equations in Terms of Matrix Continued Fractions. In: Graham, R., Wunderlin, A. (eds) Lasers and Synergetics. Springer Proceedings in Physics, vol 19. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-72758-0_11

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  • DOI: https://doi.org/10.1007/978-3-642-72758-0_11

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-642-72760-3

  • Online ISBN: 978-3-642-72758-0

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