标题： 变形量子化中的费曼-卡公式 显示英文标题

标题： The Feynman-Kac formula in deformation quantization

摘要： 我们在变形量子化程序中引入了费曼-卡公式。 在先前工作的基础上，证明了通过欧几里得旋转，任何预定物理系统的基态能量都可以从哈密顿算符的星指数在相空间积分的渐近极限中获得。 提供了这种对应的一些例子，展示了计算某些物理模型基态能量的新颖而有效的方法。 显示英文摘要

摘要： We introduce the Feynman-Kac formula within the deformation quantization program. Constructing on previous work it is shown that, upon a Wick rotation, the ground state energy of any prescribed physical system can be obtained from the asymptotic limit of the phase space integration of the star exponential of the Hamiltonian operator. Some examples of this correspondence are provided showing a novel and efficient way of computing the ground state energy for some physical models.