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Assume a 2D physical system where the vectors |?1i and |?2i form an orthonormal basis of...

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Advance Math

Assume a 2D physical system where the vectors |?1i and |?2i forman orthonormal basis of the space. Let’s define a new basis with|?1i = ? 1 2 (|?1i + |?2i) and |?2i = ? 1 2 (|?1i ? |?2i). Given anoperator Mˆ represented in the |?ii-basis by the matrix 1 1 , findthe representation of Mˆ in the basis |?ii-basis.

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