Physics – High Energy Physics – High Energy Physics - Theory
Scientific paper
1997-07-24
Physics
High Energy Physics
High Energy Physics - Theory
37 pages, LaTeX, 14 figures. Related papers are at http://www.damtp.cam.ac.uk/user/scw21/papers/ Corrections to equations. D
Scientific paper
We are used to thinking of an operator acting once, twice, and so on. However, an operator acting integer times can be consistently analytic continued to an operator acting complex times. Applications: (s,r) diagrams and an extension of Fractional Calculus where commutativity of fractional derivatives is preserved, generating integrals and non-standard derivations of theorems in Number Theory, non-integer power series and breaking of Leibniz and Chain rules, pseudo-groups and symmetry deforming models in particle physics and cosmology, non-local effect in analytic continued matrix representations, particle-physics-like scatterings of zeros of analytic continued Bernoulli polynomials (physics/9705021), analytic continuation of operators in QM, QFT and Strings.
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