论文标题
Boltzmann Evolution下的量子晶格系统的波动
Fluctuations of Quantum Lattice Systems under Boltzmann Evolution
论文作者
论文摘要
对于量子晶格系统，螺栓曼型演化是根据hugenholtz的结果到达N量表时间演变极限的结果，并将相互作用缩放为N^-1/2。根据ti illner-neunzert，只有在初始状态满足比进化状态更强大的假设时，才能发生这种通向不可逆动态的通道。我们表明，初始状态满足空间聚类，因为构建波动代数是必要的，而进化的状态仅允许在适当的局部缩放范围内进行波动，而在中学水平上则不允许波动。
For quantum lattice systems a Boltzmann-type evolution arrises according to results of Hugenholtz in the limit of N-scaled time evolution together with an interaction scaled as N^-1/2. According ti Illner-Neunzert this passage to an irreversible dynamics can only happen when the initial state satisfies stronger assumptions than the evolved state. We show that the initial state satisfies space clustering as it is necessary for the construction of a fluctuation algebra whereas the evolved state allows fluctuations only in an appropriate local scaling but not on a mesoscopic level.
