Hepp-Lieb模型与Alli-Sewell laser模型之间的关系
Relations between the Hepp-Lieb and the Alli-Sewell laser models
摘要:
在本文中,我们表明,耗散版本的激光模型提出的Alli和Sewell可以通过考虑随机限制(开放系统)哈密尔顿引进的赫普和Lieb在其开创性的工作。我们还证明了Dicke-Haken-Lax哈密顿量的产生,随机极限被认为是后,一个半群的生成元的运动方程非常相似的Alli-Sewell,并符合这些在适当的条件下。
英文摘要:
In this paper we show that the dissipative version of the laser model proposed by Alli and Sewell can be obtained by considering the stochastic limit of the (open system) hamiltonian introduced by Hepp and Lieb in their seminal work. We also prove that the Dicke-Haken-Lax hamiltonian produces, after the stochastic limit is considered, the generator of a semigroup with equations of motion very similar to those of Alli-Sewell, and coinciding with these under suitable conditions.
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