Outline of PHYS 511 Quantum Mechanics

UIC Catalog description:

511. Quantum Mechanics I. 4 Hours.

Linear operators, vector spaces. Schroedinger equation. Heisenberg formalism. Multi/ identical particle systems, approximation methods, perturbation theory, symmetries and groups, conservation laws, angular momentum, spin. Wigner-Eckart theorem.

1. Historical developments of Modern Physics
2. Wave Packets and Free Particle Motions
3. General Properties of the Schroedinger Equation
4. One dimensional problems:
   • Square Wells
   • Harmonic Oscillator
   • Soluble Potentials
5. 3-D problems: Hydrogen Atoms

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   Midterm Exam on Thursday October 15, 2009

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6. Spin and Two-level System
7. Bra-Ket formalism (Hilbert Space)
8. Approximations

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   Final Exam

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