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Consider a system with l = 1. Use a three-component basis, |m>, which are the simultaneous eigenvectors of L2 and Lz, where |1> = (1, 0, 0), |0> = (0, 1, 0), and |-1> = (0, 0, 1).    In this basis, find the matrix representations for Lx, Ly, Lz, L+, L-, and L2.

Consider a system with l = 1. Use a three-component basis, |m>, which are the simultaneous eigenvectors of L2 and Lz, where |1> = (1, 0, 0), |0> = (0, 1, 0), and |-1> = (0, 0, 1).    In this basis, find the matrix representations for Lx, Ly, Lz, L+, L-, and L2.

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Consider a system with l = 1. Use a three-component basis, |m>, which are the simultaneous eigenvectors of L2 and Lz, where |1> = (1, 0, 0), |0> = (0, 1, 0), and |-1> = (0, 0, 1). 

 

In this basis, find the matrix representations for Lx, Ly, Lz, L+, L-, and L2.

a system with l 1. Use a three-component basis, |m), which are the simultaneous eigenvectors of L² and L2, where »-(:) - -() (3) 1 |1) |0) |-1) = a) In this basis, find the matrix representations for L, Ly, L2, L4, L_ and L². To find
Transcribed Image Text:a system with l 1. Use a three-component basis, |m), which are the simultaneous eigenvectors of L² and L2, where »-(:) - -() (3) 1 |1) |0) |-1) = a) In this basis, find the matrix representations for L, Ly, L2, L4, L_ and L². To find
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