AI 中文总结
该研究针对正则系综下受一般单粒子哈密顿量支配的非相互作用玻色气体,得出其玻色-爱因斯坦凝聚体粒子数的大偏差估计,发现左右尾概率随粒子数趋于无穷时以不同指数速率衰减。
AI 中文摘要
我们研究正则系综中受一般单粒子哈密顿量支配的非相互作用玻色气体,主要结果为玻色-爱因斯坦凝聚体的粒子数大偏差估计,表明当粒子数趋于无穷时,左右尾概率以不同指数速率衰减。
英文摘要
We consider a non-interacting Bose gas governed by a general one-particle Hamiltonian in the canonical ensemble. Our main results are large-deviation estimates for the number of particles in the Bose--Einstein condensate. We show that the left- and right-tail probabilities decay at different exponential rates as the number of particles tends to infinity.
Comments27 pages