Feynman Functional Integral in the Fokker Theory

Bayesian Approach to Inverse Quantum Statistics: Reconstruction of Potentials in the Feynman Path Integral Representation of Quantum Theory

The Feynman path integral representation of quantum theory is used in a non--parametric Bayesian approach to determine quantum potentials from measurements on a canonical ensemble. This representation allows to study explicitly the classical and semiclassical limits and provides a unified description in terms of functional integrals: the Feynman path integral for the statistical operator, and the integration over the space of potentials for calculating the predictive density. The latter is treated in maximum a posteriori approximation, and various approximation schemes for the former are devel…

费曼路径积分在离散变量系统中的应用：哈密顿图上的行走

Feynman path integrals for discrete-variable systems: Walks on Hamiltonian graphs

本文提出了一种离散变量系统中费曼路径积分的自然表述，通过哈密顿图上的行走形式，恢复了连续变量路径积分，并探讨了其意义。

从 Feynman 和 von Neumann 的公理到受限 Feynman 路径积分：时间连续量子测量的数学理论

From each of Feynman's and von Neumann's postulates to the restricted Feynman path integrals: a mathematical theory of temporally continuous quantum measurements

本文严格证明了在简单近似下，Mensky 的受限 Feynman 路径积分可由 Feynman 量子化公理和 von Neumann 瞬时测量公理导出，并应用于自旋系统及多种量子效应的表述。

束缚态阿哈罗诺夫-玻姆效应的动量空间费曼积分

Momentum Space Feynman Integral for the Bound State Aharonov-Bohm Effect

本文在极坐标动量空间中构造了描述束缚态阿哈罗诺夫-玻姆效应的薛定谔传播子费曼积分，并将其定义为白噪声泛函。

Feynman's Integral is About Mutually Unbiased Bases

The Feynman integral can be seen as an attempt to relate, under certain circumstances, the quantum-information-theoretic separateness of mutually unbiased bases to causal proximity of the measuring processes.

Integrating Gauge Fields in the $ζ$-formulation of Feynman's path integral

In recent work by the authors, a connection between Feynman's path integral and Fourier integral operator $ζ$-functions has been established as a means of regularizing the vacuum expectation values in quantum field theories. However, most explicit examples using this regularization technique to date, do not consider gauge fields in detail. Here, we address this gap by looking at some well-known physical examples of quantum fields from the Fourier integral operator $ζ$-function point of view.