65 citations · 182 across the 20 of their papers we have counts for
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math-ph2011★ 4 cited
Group Fourier transform and the phase space path integral for finite dimensional Lie groups
Matti Raasakka
We formulate a notion of group Fourier transform for a finite dimensional Lie group. The transform provides a unitary map from square integrable functions on the group to square in…
hep-th2011★ 21 cited
Quantum Mechanics on SO(3) via Non-commutative Dual Variables
Daniele Oriti, Matti Raasakka
We formulate quantum mechanics on SO(3) using a non-commutative dual space representation for the quantum states, inspired by recent work in quantum gravity. The new non-commutativ…