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Unformatted text preview: time t and then measure the position of the quantum particle for example by a photographic plate. After a large number of particles have been measure, the image corresponds to the probability distribution at time t. The time averaged probability distribution: If the position is measured at random times after the preparation of the equivalent states, the interferences between different eigenstates of the Schr ö dinger equation wash out . dx t x 2  ) , (  Ψ ∑ ∞ =Φ = Ψ ) ( ) , ( n t i n n n E e x A t x ∑ ∞ = =Φ Φ = Ψ * * 2  ) , (  m n t i m n m n m E n E e A A t x ∑ ∞ = Φ = Ψ 2 2 2  ) (     ) , (  n n n t x A t x...
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This note was uploaded on 09/28/2008 for the course PHYS 316 taught by Professor Hoffstaetter during the Spring '05 term at Cornell.
 Spring '05
 HOFFSTAETTER
 Physics, Momentum, Polarization

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