刘建民
理论物理通讯. 1984, 3(4): 405-416.
Beginning with a more complete quantum-mechanical description of the single mode one-photon laser system with a saturable absorber and using the catastrophe theory, we discuss critical phenomenon analogies, namely exponent behaviors of the abrupt transitions between steady states near athresho1d; in the system. An isolated threshold with order θ=3 is found. Four threshold exponents β,δ,γ′and α′, and four threshold amplitudes B,D, I and A', in two various spaces of control parameters, are obtained. These threshold exponents obey the generalized scaling laws, e.g., α′+(1+z)β+γ′=2,of 2=4 or Z=2 depending on two various choices of the space of control parameters. The source for this departure of exponent behaviors from the usual scaling laws(z=l) is also discussed.