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math-ph2015★ 3 cited
Applications of the Capelli identities in physics and representation theory
David J. Rowe
Capelli identities are shown to facilitate the construction of representations of various Heisenberg algebras that arise in many-particle quantum mechanics and the construction of…
math-ph1998
Representations of the Weyl group and Wigner functions for SU(3)
D. J. Rowe, B. C. Sanders, H. de Guise
Bases for SU(3) irreps are constructed on a space of three-particle tensor products of two-dimensional harmonic oscillator wave functions. The Weyl group is represented as the symm…