A Feynman-Kac Formula for Anticommuting Brownian Motion
量子物理
2009-11-06 v1
摘要
Motivated by application to quantum physics, anticommuting analogues of Wiener measure and Brownian motion are constructed. The corresponding Ito integrals are defined and the existence and uniqueness of solutions to a class of stochastic differential equations is established. This machinery is used to provide a Feynman-Kac formula for a class of Hamiltonians. Several specific examples are considered.
引用
@article{arxiv.quant-ph/0008081,
title = {A Feynman-Kac Formula for Anticommuting Brownian Motion},
author = {Steven Leppard and Alice Rogers},
journal= {arXiv preprint arXiv:quant-ph/0008081},
year = {2009}
}
备注
21 pages