Deformation Expression for Elements of Algebras (III) --Generic product formula for *-exponentials of quadratic forms--

Akira Yoshioka; Hideki Omori; Naoya Miyazaki; Yoshiaki Maeda

arxiv: 1107.2474 · v1 · pith:WRVGGTJ3new · submitted 2011-07-13 · 🧮 math-ph · math.MP

Deformation Expression for Elements of Algebras (III) --Generic product formula for *-exponentials of quadratic forms--

Hideki Omori , Yoshiaki Maeda , Naoya Miyazaki , Akira Yoshioka This is my paper

classification 🧮 math-ph math.MP

keywords formulagenericproductalgebraelementsexpressionquadraticalgebras

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In a noncommutative algebra there is no canonical way to express elements in univalent way, which is often called "ordering problem". In this note we give product formula of the Weyl algebra in generic ordered expression. In particular, the generic product formula of *-exponential functions of quadratic forms will be given.

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Deformation Expression for Elements of Algebras (III) --Generic product formula for *-exponentials of quadratic forms--

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