ISSN:
1572-9036
Keywords:
Feynman's operational calculus for noncommuting operators
;
Feynman's time-ordering convention
;
time-ordered perturbation series
;
disentangling
;
evolution equations
;
Feynman path integral
;
semigroups of operators
;
nonlocal potentials
;
generalized path integral
Source:
Springer Online Journal Archives 1860-2000
Topics:
Mathematics
Notes:
Abstract We give an exposition and an extension of the ideas of Feynman's time-ordered operational calculus for noncommuting operators. Various directions for 'disentangling' functions of such operators are provided by measures on the time intervals in question. We concentrate especially on exponentials of sums of noncommuting operators and prove that the unique solution of a broad class of evolution equations is given by the time-dependent operators arrived at by disentangling such exponential expressions.
Type of Medium:
Electronic Resource
URL:
http://dx.doi.org/10.1023/A:1005773828749
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