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Conclusions

We have shown that, for weak coupling, the full BBGKY hierarchy of operator equations has a natural asymptotic closure consistent with Hartree-Fock factorization and complex frequency renormalization.

We have demonstrated that the QKE has a new class of steady (equilibrium) solutions which carry constant fluxes of particles and energy across momentum space. We have explored these solutions by using the differential approximation to the collision integral.

We have then applied these ideas to semiconductor lasers and shown that the output power is much higher when the finite flux equilibrium is excited. While we do not claim that, if we take all effects into account, the advantages of narrow-band pumping will necessary remain, we do suggest that the evidence suggests that it is a possibility worth pursuing further.



Dr Yuri V Lvov 2007-01-31