Unformatted text preview: F = 9 4  1 aA 1  + √ 3 4  1 aA 2  + √ 3 4  2 aA 1  + 11 4  2 aA 2  +  3 aA 3  . What are the possible results of a measurement of F ? ±or the state  ψ a = 1 √ 14 (2  1 a +  2 a + 3  3 a ), what are probabilities associated with each possible result. 4. Evolve the state  ψ a from the problem 3 in time, using the Hamiltonian from problem 2. What are the probabilities for the di²erent outcomes as a function of time? 5. Consider a spin1 / 2 particle of mass M subject to the potential V = 1 2 Mω 2 X 2 + βX ⊗ S z . Determine the energy eigenfunctions and eigenvalues....
View
Full Document
 Spring '10
 MichaelMoore
 mechanics, Work, Hilbert space

Click to edit the document details