7 citations · 33 across the 12 of their papers we have counts for
12 papers
Deformation Expression for Elements of Algebras (VIII) --SU(2)-vacuum and the regular representation space--
Hideki Omori, Yoshiaki Maeda, Naoya Miyazaki +1
Consider the problem "Give the equation of the conceptional rotations in without using the parameter expressing individual rotations", just as the conceptional moti…
Deformation Expression for Elements of Algebras (VII) --Vacuum/Pseudo-vacuum Representations--
Hideki Omori, Yoshiaki Maeda, Naoya Miyazaki +1
Thinking back the long history of physics, we see that the calculation used by physicists was nothing but the ordinary calculus. Another word, physicists have never wrote theories…
Deformation Expression for Elements of Algebras (VI) --Vacuum representation of Heisenberg algebra--
Hideki Omori, Yoshiaki Maeda, Naoya Miyazaki +1
The Weyl algebra (W_{2m}[h]; *) is the algebra generated by u=(u_1,...,u_m,v_1,.....,v_m) over C with the fundamental commutation relation [u_i,v_j]=-ihδ_{ij}, where h is a positiv…
Deformation Expression for Elements of Algebras (V) - Diagonal matrix calculus and -special functions -
Hideki Omori, Yoshiaki Maeda, Naoya Miyazaki +1
In this note, we are interested in the *-version of various special functions. Noting that many special functions are defined by integrals involving the exponential functions, we d…
Deformation Expression for Elements of Algebras (IV) --Matrix elements and related integrals--
Hideki Omori, Yoshiaki Maeda, Naoya Miyazaki +1
In this note, we mainly consider the extended Weyl algebra of two generators (u,v), that is, the algebra generated by u,v with the fundamental commutation relation. Weyl algebra is…
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…