复标量场φ (x)和φ†(x)相关特征态基上的路径积分

F. Hong-yi, Fan Yue
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引用次数: 0

摘要

利用算子的有序积内积分技术,构造了复标量场(x)和†(x)的一个新的公共特征向量集,它是粒子-反粒子相关态的集合。在新的特征态的基础上,我们发展了路径积分公式。研究了新特征向量的性质,证明了它们是一种新的特征向量表示。
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Path integral in correlated eigenstate basis of complex scalar fields ϕ(x) and ϕ † (x)
Using the technique of integration within an ordered product of operators, we construct a new common eigenvector set of the complex scalar fields (x) and † (x), which is a set of particle-antiparticle correlated states. On the basis of the new eigenstates we develop the path integral formulation. The new eigenvectors' properties are investigated, they are qualified to be a new representation.
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