Shift Theorem Involving the Exponential of a Sum of Non-Commuting Operators in Path Integrals

Details Shift Theorem Involving the Exponential of a Sum of Non-Commuting Operators in Path Integrals Shift Theorem Involving the Exponential of a Sum of Non-Commuting Operators in Path Integrals

2006-09-26

arxiv.org/abs/hep-th/0609192v5

Physics

High Energy Physics

High Energy Physics - Theory

12 pages latex; minor modification, results unchanged

Scientific paper

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.

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