Homework #1 - Probability distribution Due Sept. 16, 2011 at 11:35, in class
1. Griffiths 1.4+: At time t = 0 a particle is represented by the wavefunction: A x if 0 x a a (x, 0) = A b-x if a x b b-a 0 otherwise
where a and b are con
Problem set 2 - Fourier transforms -functions and quantum dynamics
due on Friday, September 23rd, in class.
(Dated: September 16, 2011)
1. Width of a Gaussian wave packet. In class we talked about the time evolution of a gaussian wave packet. We saw that
Problem set 4 - The harmonic oscillator
Due: Oct. 10, 2011, in class Posted on Oct. 3, 2011 1. Typical scales in harmonic oscillators. Modern cold-atoms research concentrates on trapped atoms, which are futher constrained to move in an optical lattice.
Problem set 5 - Free space and sharp potentials
Due: Oct. 19, 2011, in class Posted on Oct. 12, 2011 1. A particle in a parabolic potential is set free. This is similar to the 3rd problem in problem set 2. Imagine
k a parabolic potential described by th
Problem set 6 - Sharp potentials
Due on Wednesday, October 25, 2011. Posted on Oct. 19 1. To the edge of the cliff and back. In classical mechanics a particle hitting the a wall (i.e. a potential jump) gets reflected. In quantum mechanics, a particle wi