Know the definition determinant and trace

Physics 751: Midterm I Study Guide 2008

Be able to find the time-dependent probability and current distribution for a superposition of states of different energies.

Know the definition of the delta function as a limit of a Gaussian wavepacket, and be able to Fourier transform a Gaussian wavepacket. (Know the integral you need by heart.) Also, know how to do Fourier series and transforms for simple functions, and be able to discuss the limitations of Fourier series for discontinuous functions.

Schrödinger wave function as an integral over	x or	k kets. Be able to express x in terms of k ’s.