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This volume contains ten lectures presented in the series ULB
Lectures in Nonlinear Optics at the Universite Libre de Bruxelles
during the period October 28 to November 4, 1991. A large part of
the first six lectures is taken from material prepared for a book
of somewhat larger scope which will be published,by Springer under
the title Quantum Statistical Methods in Quantum Optics. The
principal reason for the early publication of the present volume
concerns the material contained in the last four lectures. Here I
have put together, in a more or less systematic way, some ideas
about the use of stochastic wavefunctions in the theory of open
quantum optical systems. These ideas were developed with the help
of two of my students, Murray Wolinsky and Liguang Tian, over a
period of approximately two years. They are built on a foundation
laid down in a paper written with Surendra Singh, Reeta Vyas, and
Perry Rice on waiting-time distributions and wavefunction collapse
in resonance fluorescence [Phys. Rev. A, 39, 1200 (1989)]. The ULB
lecture notes contain my first serious atte~pt to give a complete
account of the ideas and their potential applications. I am
grateful to Professor Paul Mandel who, through his invitation to
give the lectures, stimulated me to organize something useful out
of work that may, otherwise, have waited considerably longer to be
brought together.
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