In Greiner & Muller's 'Quantum Mechanics: Symmetries' (section 3.5) they explain that where a system possesses a symmetry, the corresponding Hamiltonian must be 'built up' from the Casimir operators of the corresponding symmetry group.(adsbygoogle = window.adsbygoogle || []).push({});

Does anyone know of a reference where this is gone into in any detail?

Does anyone know what happens when the system possesses a product of symmetries (such as, say, Poincare x SU(2))?

Any help / references appreciated!

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# Construction of Hamiltonian from Casimir operators

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