Calculating the commutator

Find the commutator: [F(x),p]. See attached file for full problem description.

Understanding the wave particle duality using problem

An electron of energy 200 eV is passed through a circular hole of radius 10^-4 cm. Find the uncertainty introduced in the angle of emergence? What would be the corresponding uncertainty for a 0.1 g lead ball thrown with a velocity 10^3 cm/s through a hole of 1 cm radius?

Understanding the wave particle duality using problem

Consider a Gaussian wave packet given by Psi(r)=(1/r) exp(i k.r) where,r=(x^2+y^2+z^2)^(1/2). Calculate the probabilistic current density and interpret the result physically.

Spectroscopic States

List the spectroscopic states (energy levels in the usual notation (2S+1)^L, that can arise from: one particle with S=1/2,L=3 one particle with S=2,L=1 two particles with s1=1/2,s2=1,L=4 two particles with s1=1,s2=1, L=3 two particles with s1=1/2,s2=1/2,L=2 Which of the two particles are excluded if the particles are identical? ------------------------------------------------------- NOTE: PLEASE BE EXTREMELLY EXPLICIT AS TO HOW YOU FOUND THE RESULT FOR EACH PART. I HAVE NO IDEA HOW TO DO THIS AND NEED TO LEARN IT VERY WELL FOR MY FINAL, PLEASE BE EXPLICIT IN SHOWING HOW TO GET THE ANSWER. THANKS A LOT!!!

Materials exam study help/Request for 3 to 5 potential well problems worked out.

I have an exam tomorrow in my materials and devices class and am trying get more experience working potential well problems. The text for the class is Neamen - Semiconductor Physics and devices. I'd like to get 3 to 5 worked out problems involving the use of schroedinger's equation (position dependant - not involving time) and boundary conditions to specify wave functions in a potential well with potential barriers of differing values. Short descriptions of why something was done on a step would be nice. I'd like to study the examples and then try to work them own my own. A couple of other things... Is there any easy way to find out the distance to the nearest neighbors in a... click for more