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Apr. 27th, 2006 01:09 amTomorrow is the Music 12 concert, in Lang Concert Hall at 4:30. I'm playing my Minualtz and Brad Gersh's minuet for flute and piano with his sister Jessica. She and I have been lab partners before and have often done physics together, although we've never done anything musical together, so this will be fun.
I think I know what I'm going to say for my QHE presentation. Tomorrow I'll need to write it out in detail and make the handout and overheads. With regard to Landau levels, it's pretty straightforward (and quite elegant) to get the energies through a suitable choice of canonically conjugate operators that transform the Hamiltonian for a 2D electron in a magnetic field into a 1D harmonic oscillator Hamiltonian. To get at the physics of the QHE, though, one ultimately needs to invoke periodic boundary conditions on the sample, and this will be a lot cleaner to do if I stick to position space. Also, since most of my solid state classmates have not had 113-level quantum, I will probably just end up losing people if I start writing out commutators and raising/lowering operators... I'm excited about putting this together, though, and am looking forward to giving this presentation on Friday.
Time for bed; more piano practicing in the morning, plus class and physics -- this presentation and a problem that demonstrates that a certain geometry of carbon nanotube is metallic, as opposed to semiconducting. The physics of those is very cool too... it's really a shame Swat has not offered a solid state senior seminar in years.
I think I know what I'm going to say for my QHE presentation. Tomorrow I'll need to write it out in detail and make the handout and overheads. With regard to Landau levels, it's pretty straightforward (and quite elegant) to get the energies through a suitable choice of canonically conjugate operators that transform the Hamiltonian for a 2D electron in a magnetic field into a 1D harmonic oscillator Hamiltonian. To get at the physics of the QHE, though, one ultimately needs to invoke periodic boundary conditions on the sample, and this will be a lot cleaner to do if I stick to position space. Also, since most of my solid state classmates have not had 113-level quantum, I will probably just end up losing people if I start writing out commutators and raising/lowering operators... I'm excited about putting this together, though, and am looking forward to giving this presentation on Friday.
Time for bed; more piano practicing in the morning, plus class and physics -- this presentation and a problem that demonstrates that a certain geometry of carbon nanotube is metallic, as opposed to semiconducting. The physics of those is very cool too... it's really a shame Swat has not offered a solid state senior seminar in years.
