Flashcards in 3 - Quantum Dynamics Deck (4)

Loading flashcards...

1

## 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>

2

## 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.

3

## What is the expression for omega_0?

### q_e*B_0/m_e

4