This preview shows pages 1–2. Sign up to view the full content.
This preview has intentionally blurred sections. Sign up to view the full version.View Full Document
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 ih-y | 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 e-iE 1 t / ~ | E 1 i + c 2 e-iE 2 t / ~ | E 2 i + ( ~ h / 2 )...
View Full Document
- Spring '11
- Quantum Physics