Question: For any constant N, show that d S = x dr N - 2 s+ Nx - x2- dr' S dr' provides an o(3)

For any constant N, show that d S = x dr N

For any constant N, show that d S = x dr N - 2 s+ Nx - x2- dr' S dr' provides an o(3) representation by showing that the commutation relations (45) are pre- served. Assuming that the representation acts on the space of polynomial functions of x, what are the highest weight and lowest weight states?

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Let us consider the case when N is a positive integer We have S to power 2 x ddxN2 S to pow... View full answer

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