随机介质中相互作用量子粒子系统热力学极限的存在性
The Existence of the Thermodynamic Limit for the System of Interacting Quantum Particles in Random Media
摘要:
在满足相互作用的稳定性和温度的严格要求下,证明了随机介质中量子相互作用粒子系统的内能和熵的热力学极限。在热力学极限下,能量与系统的粒子数和/或体积成正比。所得到的结果需要非常一般的假设上的随机单粒子模型。这些方法主要基于次可加型不等式。
英文摘要:
The thermodynamic limit of the internal energy and the entropy of the system of quantum interacting particles in random medium is shown to exist under the crucial requirements of stability and temperedness of interactions. The energy turns out to be proportional to the number of particles and/or volume of the system in the thermodynamic limit. The obtained results require very general assumptions on the random one-particle model. The methods are mainly based on subadditive type inequalities.
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