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Unformatted text preview: + s (eigenvalue) has  + x i = p 1 / 2 p 1 / 2 (eigenvector) 3 When an experiment determines an outcome 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 +  + y i + cy i =  + y ih + y  i + y ihy  i 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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This note was uploaded on 06/03/2011 for the course H 133 taught by Professor Furnstahl during the Spring '11 term at Ohio State.
 Spring '11
 Furnstahl
 Quantum Physics

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