User:Luis Sanchez
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Luis Sánchez, currently an undergraduate physics student at Universidad de Guadalajara. My current research is in the area of interstellar molecular clouds (where star formation takes place) under the direction of Susana Lizano (at CRyA), we have preliminary results of the analytic expression that governs the photon flux in ionized regions with density gradients.
You can follow my adventures here.
Luis, receive this little award for your efforts to take afar the name of the U de G abroad:
[edit] Quantum mechanics 101
Our local effort for a quantum mechanics course, mostly based on the books by Shankar, David Griffiths and Luis de la Peña.
This a list of topics we have covered this far:
Feb 22 (Griffiths, Ch. 1)
- Schrödinger equation
- Probabilistic interpretation of the wave function (Born probability)
- Position operator
- Momentum operator
Problem set: OCW 5
Feb 26 (De la Peña, Ch. 3)
Problem set: Gasiorowicz: 3.8, 3.9, 3.10, 3.12, 3.15
March 1 (Shankar A.2, de la Peña Ch. 4, Griffiths 2.4):
- The gaussian integral
- The free particle
- Fourier's technology (Fourier transform)
Problem Set: [freepart.pdf]
March 5 (De la Peña 4.2, Park 2.5)
- Born normalization
- The momentum operator revisited
- Problem solving session
Problem Set: [repmomental.pdf]
March 12 (Shankar 5.4)
- Bound states
- Scattering states
- Potential step
- Scattering states of the finite potential well
Problem Set: [wells.pdf]
March 15 (Griffiths 2.5, De la Peña 4.3, 4.4)
- Dirac's delta
- Delta function potential and barrier
- Dirac's normalization of the free particle
- Propagator of the free particle
Problem Set: [delta.pdf]
Because this lecture was particulary abstract I am posting here the lecture notes: [1],[2],[3]. You can also read about the free particle propagator in pag. 68 of Baym.
March 22 (Griffiths 2.3, De la Peña 11.2)
- Frobenius method
- Quantum harmonic oscillator: "brute force method".
As promised, here is the Mathematica notebook so you can now "wag the dog" yourself: [wagthedog.nb]
What's next: (March 26)
- Ladder operators
- Heisenberg picture of the harmonic oscillator
- Coherent states (if time permits)
