二阶线性偏微分方程II的路径积分解。椭圆、抛物和双曲情形
Path Integral Solution of Linear Second Order Partial Differential Equations II. Elliptic, Parabolic and Hyperbolic Cases
摘要：
构造一般二阶偏微分方程的路径积分解的定理被专门用于获得具有Dirichlet/Neumann边界条件的椭圆、抛物和双曲线性二阶偏微分方程的解的路径积分。通过评估几个已知的内核与平面和球形边界的区域的建设检查。介绍了一些新的计算方法。
英文摘要：
A theorem that constructs a path integral solution for general second order partial differential equations is specialized to obtain path integrals that are solutions of elliptic, parabolic, and hyperbolic linear second order partial differential equations with Dirichlet/Neumann boundary conditions. The construction is checked by evaluating several known kernels for regions with planar and spherical boundaries. Some new calculational techniques are introduced.
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