Quantum Mechanics I (PHYS*3230)
Code and section: PHYS*3230*01
Term: Fall 2009
Instructor: Vladimir Ladizhansky
|Vladimir Ladizhansky||MacN firstname.lastname@example.org|
Thu. 2:30 pm - 4:00 pm. However, you can always stop by my office and ask questions if I am available.
|Mon., Wed., Fri.||9:30 a.m.-10:20 a.m.||CRSC 117|
Course Text: Introduction to Quantum Mechanics, by D.J. Griffiths (Prentice Hall, 2nd edition, 2005);
Essential Mathematical Methods for Physicists, by H.J. Weber and G.B. Arfken (Elsevier Academic Press, 2004)
You are required to attend lectures.
- Review of mathematical tools required for the course. Wave function, Schrodinger equation. Statistical interpretation of the wave function.
- One-dimensional quantum mechanics: Free particle and a wave packet, Finite and infinite potential wells, bound states and quantization; scattering states; Potential barrier tunneling, reflection and transmission; delta-potential.
- Mathematical formalism of Quantum Mechanics, Observables and Hermitian operators; eigenvalue- eigenfunction problem. Operators of position and momentum, and the uncertainty principle. Momentum representation. Dirac notations.
- One-dimensional quantum mechanics, continued: Kronig-Penney potential and energy band structure of solids. The harmonic oscillator. Ladder operators. Coherent states.
- Three-dimensional quantum mechanics: Coulomb potential and hydrogen atom; Angular momentum. If time allows: Symmetries and Conservation Laws in QM. Spin, identical particles. Exchange Interactions.
Not generally required. However, if you miss TEST or EXAM, you should see your College Counselor and get a note from him/her.