Unformatted text preview: β 1 = 3 1 , β 2 = 1 2 , β 3 = 1 1 3 . 7. Let V be the space of real polynomials deﬁned on the interval [1 , 1] . Deﬁne the inner product h P  Q i = R 11 P ( x ) Q ( x ) dx , and the nonorthonormal basis R i ( x ) = x i , for i = 0 , . . . . Use the GramSchmidt procedure to construct the ﬁrst three vectors in an orthonormal basis. 8. Sakurai, Problem 14, Chapter 1. Recall σ 1 , 2 , 3 are the Pauli matrices. 1...
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This note was uploaded on 12/14/2009 for the course QUANTUM I 731 taught by Professor Everett during the Fall '09 term at University of Wisconsin.
 Fall '09
 Everett

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