e to the A, in a New Way, Some More to Say

2000/04/17 by Paul Federbush, P. Federbush, Federbush, P.
Computer Science · Mathematics · Physics and Astronomy · #FOS: Physical sciences #High Energy Physics - Theory (hep-th) #Holomorphic and Operator Theory #Mathematical Analysis and Transform Methods #Mathematical Physics (math-ph) #Matrix Theory and Algorithms #hep-th #math-ph #math.MP

paper · pdf · doi:10.48550/arxiv.math-ph/0004023

5 pages, Added detailed proof

openalex publication_date 2000/04/17 · arxiv created 2000/11/10 · arxiv updated 2009/11/30 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

Expressions are given for the exponential of a hermitian matrix, A. Replacing A by iA these are explicit formulas for the Fourier transform of exp(iA). They extend to any size matrix the previous results for the 2 X 2, 3 X 3, and 4 X 4 cases. The expressions are elegant and should prove useful.

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