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課程概述 |
A tentative list of topics that will be covered include:
1. Scattering kinematics + in/out formalism, 2. Lippmann–Schwinger and Green’s functions, 3. Born approximation and its limits, 4. Partial-wave expansion and phase shifts, 5. Unitarity, S-matrix, optical theorem, 6. Resonances, bound states, analytic structure, 7. Low-energy scattering: effective range + time delay + Levinson, 8. Degenerate perturbation theory 9. Time-dependent perturbation theory and transitions 10. Adiabatic theorem and Berry phase/connection 11. Variational methods + WKB / semiclassical quantization 12. Density matrices and reduced states 13. Open systems: master equations and Lindblad form. 14. Advanced Topics: Geometric quantization or Quantum information basics |