2006/09/26 by Fred Cooper, Cooper, Fred, Gouranga C. Nayak +1 · 1 citation
Computer Science · Mathematics · Physics and Astronomy · #Differential Equations and Boundary Problems #FOS: Physical sciences #High Energy Physics - Phenomenology (hep-ph) #High Energy Physics - Theory (hep-th) #Mathematical Physics (math-ph) #Matrix Theory and Algorithms #advanced mathematical theories #hep-ph #hep-th #math-ph #math.MP
paper · pdf · doi:10.48550/arxiv.hep-th/0609192
12 pages latex; minor modification, results unchanged
openalex publication_date 2006/09/26 · arxiv created 2009/06/19 · arxiv updated 2009/12/01 · openalex created_date 2016/06/24 · openalex updated_date 2026/07/28
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 -∞ to +∞. This shift theorem is useful to perform certain integrals and path integrals involving the exponential of sum of two non-commuting operators.