6 citations · 11 across the 3 of their papers we have counts for
3 papers
math-ph2011★ 5 cited
Deformation Expression for Elements of Algebras (III) --Generic product formula for *-exponentials of quadratic forms--
Hideki Omori, Yoshiaki Maeda, Naoya Miyazaki +1
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 We…
math-ph2011★ 6 cited
Deformation Expression for Elements of Algebras (I) --(Jacobi's theta functions and *-exponential functions)--
Hideki Omori, Yoshiaki Maeda, Naoya Miyazaki +1
This paper presents a preliminary version of the deformation theory of expressions of elements of algebras. The notion of *-functions is given. Several important problems appear in…
math-ph2011
Deformation Expression for Elements of Algebra
H. Omori, Y. Maeda, N. Miyazaki +1
The purpose of this paper is to give a notion of deformation of expressions for elements of algebra. Deformation quantization (cf.[BF]) deforms the commutative world to a non-commu…