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Assume a 2D physical system where the vectors |ψ1i and |ψ2i form an orthonormal basis of...

Assume a 2D physical system where the vectors |ψ1i and |ψ2i form an orthonormal basis of the space. Let’s define a new basis with |φ1i = √ 1 2 (|ψ1i + |ψ2i) and |φ2i = √ 1 2 (|ψ1i − |ψ2i). Given an operator Mˆ represented in the |ψii-basis by the matrix 1 1 , find the representation of Mˆ in the basis |φii-basis.

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Assume a 2D physical system where the vectors |ψ1i and |ψ2i form an orthonormal basis of the space.

Colby Messinger answered 1 year ago
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