Transformation brackets between U(n+1) -> U(n) -> SO(n) and U(n+1) -> SO(n+1) -> SO(n)
Elena Santopinto, Roelof Bijker, Francesco Iachello
TL;DR
This paper derives a general formula for transformation brackets connecting two chains of unitary and special orthogonal groups, facilitating analysis in mathematical physics.
Contribution
It introduces a unified expression for transformation brackets between two specific group chain decompositions, advancing the understanding of their interrelations.
Findings
Derived a general expression for transformation brackets
Unified treatment of two group chain decompositions
Facilitates calculations in mathematical physics
Abstract
We derive a general expression for the transformation brackets between the chains U(n+1) -> U(n) -> SO(n) and U(n+1) -> SO(n+1) -> SO(n).
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