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Unformatted text preview: a n , the state vector becomes the corresponding eigenvector A n . Collapse! 4 If  i is the initial state, the probability that a measurement collapses it to A n with value a n is: P ( a n ) = h  A n i 2 where  ( a + bi )  2 = a 2 + b 2 5 Superposition:  i = c 1  + y i + c 2 y i =  + y ih + y  i + y ihy  i (Be able to derive 2nd equality.) The c i s are not the eigenvalues!!! 6 Any  i can be decomposed into energy eigenvectors (they span the space):  ( t = ) i = c 1  E 1 i + c 2  E 2 i + At time t :  ( t ) i = c 1 eiE 1 t / ~  E 1 i + c 2 eiE 2 t / ~  E 2 i + ( ~ h / 2 )...
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 Spring '11
 Furnstahl
 Quantum Physics

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