 

Lance Nielsen
Feynman's operational calculi: using Cauchy's integral formula view print


Published: 
November 20, 2010 
Keywords: 
Feynman's operational calculus, disentangling, noncommuting operators 
Subject: 
32A05, 32A26, 47A10, 47A13 


Abstract
In this paper we express the disentangling, or the formation of a
function of several noncommuting operators using Cauchy's Integral
Formula in several complex variables. It is seen that the disentangling
of a given function f can be expressed as a contour integral around
the boundary of a polydisk where the standard Cauchy kernel is replaced
by the disentangling of the Cauchy kernel expressed as an
element of the disentangling algebra. This approach to the operational
calculus allows for us to develop a "differential calculus''
with disentanglings.


Author information
Department of Mathematics, Creighton University, Omaha, NE 68178
lnielsen@creighton.edu

