首页 | 本学科首页   官方微博 | 高级检索  
     


Path integral solution of linear second order partial differential equations I: the general construction
Authors:J. LaChapelle
Affiliation:1387 NW Ashley Dr., Albany, OR 97321, USA
Abstract:A path integral is presented that solves a general class of linear second order partial differential equations with Dirichlet/Neumann boundary conditions. Elementary kernels are constructed for both Dirichlet and Neumann boundary conditions. The general solution can be specialized to solve elliptic, parabolic, and hyperbolic partial differential equations with boundary conditions. This extends the well-known path integral solution of the Schrödinger/diffusion equation in unbounded space. The construction is based on a framework for functional integration introduced by Cartier/DeWitt-Morette.
Keywords:2.30.Cj   2.30.Jr
本文献已被 ScienceDirect 等数据库收录!
设为首页 | 免责声明 | 关于勤云 | 加入收藏

Copyright©北京勤云科技发展有限公司  京ICP备09084417号