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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 + c-|-y i = | + y ih + y | i + |-y ih-y | 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 e-iE 1 t / ~ | E 1 i + c 2 e-iE 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
- Quantum Physics