Unformatted text preview: ∑ ∑ = ∗ = = > >< < >= >=< < max max 1 1      n n a a n n n n n n a a I φ . Transformation from Arep to Brep: Suppose there is another hermitian operator B op . > >= n n n op b b b B   , where n = 1, 2, . .., n max . We can expand the ket  ψ > in terms of the eigenkets of B op ( the Brepresentation ) we get ∑ = > >= max 1   n n n b b n with 1   max 1 = >< ∑ = n n n n b b . The coefficients n a are related to the coefficients n a by ∑ ∑ = = > < = > >< < >= >=< =< max max 1 1       n n b n i n n n n i i i a n i b a b b a I a a . The “transformation matrix” is given by T ij = <a i b j > ....
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This note was uploaded on 05/29/2011 for the course PHY 4064 taught by Professor Fields during the Spring '07 term at University of Florida.
 Spring '07
 FIELDS
 mechanics

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