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5. (Arfken, 5.3.3) Consider a Hilbert space spanned by the three functions = , 02= 12, 03 = rs, and a scalar product defined


 

5. (Arfken, 5.3.3) Consider a Hilbert space spanned by the three functions = , 02= 12, 03 = rs, and a scalar product defined by (ru) = Sup (a) Form the 3 x 3 matrix of each of the following operators: 3 -- (-). 1-1 A = 21 a dra -72 (b) Form the column vector representing =-272 +373. (c) Form the matrix equation corresponding to x = (A - A2) and verify that the matrix equation reproduces the result obtained by direct application of A-A to

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