Flashcards in 3 - Quantum Dynamics Deck (4)
How do you determine the time-evolution of a quantum system?
1. Find the Hamiltonian H for your system.
2. Determine the energy eigenvalues E_n & the energy eigenvectors |E_n> by solving:
H |E_n> = E_n |E_n> n=1,2,3,...
3. Write the initial state in terms of the energy eigenbasis:
|\psi(0)> = \Sigma_n c_n |E_n>
4. The state at time t is:
|\psi(t)> = \Sigma_n c_n e^(-iE_nt/\hbar) |E_n>
What is meant by spin precession?
When two or more spin components evolve in time with different time-dependent phase terms, a spin precession is created where the probability of measuring a particular spin component changes with time.
What is the expression for omega_0?