Shift Theorem Involving the Exponential of a Sum of Non-Commuting Operators in Path Integrals
High Energy Physics - Theory
2009-06-19 v5 High Energy Physics - Phenomenology
Mathematical Physics
math.MP
Abstract
We consider expressions of the form of an exponential of the sum of two non-commuting operators of a single variable inside a path integration. We show that it is possible to shift one of the non-commuting operators from the exponential to other functions which are pre-factors and post-factors when the domain of integration of the argument of that function is from -\infty to +\infty. This shift theorem is useful to perform certain integrals and path integrals involving the exponential of sum of two non-commuting operators.
Cite
@article{arxiv.hep-th/0609192,
title = {Shift Theorem Involving the Exponential of a Sum of Non-Commuting Operators in Path Integrals},
author = {Fred Cooper and Gouranga C. Nayak},
journal= {arXiv preprint arXiv:hep-th/0609192},
year = {2009}
}
Comments
12 pages latex; minor modification, results unchanged