A probabilistic representation of the ground state expectatkra of fractional powers of the Boson Number operator.
A probabilistic representation of the ground state expectatkra of fractional powers of the Boson Number operator.
复制标题
玻色子数算子的分数幂的基态期望的概率表示。
DOI：
10.1016/j.jmaa.2012.04.076
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发表时间：
2012
影响因子：
1.3
通讯作者：
J.Lorinczi and T.Takaesu
中科院分区：
文献类型：
--
作者：
F.Hiroshima;J.Lorinczi and T.Takaesu
我们给出了一个公式，在布朗路径上的一个联合吉布斯测度和随机时间泊松过程的分数（实际上，任何真实的）权力的玻色子数算符在纳尔逊模型的基态期望的措施。我们使用这种表示来获得紧的双边边界。作为应用，我们讨论了极化子模型和平移不变量纳尔逊模型.
We give a formula in terms of a joint Gibbs measure on Brownian paths and the measure of a random-time Poisson process of the ground state expectations of fractional (in fact, any real) powers of the boson number operator in the Nelson model. We use this representation to obtain tight two-sided bounds. As applications, we discuss the polaron and translation invariant Nelson models.