Geometric Phase in Physics and Chemistry
Course content:
1. Adiabatic theorem, Berry phase
2. Dirac monopole, Aharonov-Bohm effect, gauge freedom
3. Pancharatnam phase, nonadiabatic geometric phase and other generalizations
4. Molecular geometric phase, Born-Oppenheimer approximation and beyond
5. Conical intersections, Wigner-von Neumann theorem, codimension of degeneracies
6. Mead-Truhlar effective vector potential
7. Dynamical Jahn-Teller effect in molecules and crystal defects
8. Symmetry/group theory classification of vibronic coupling models
9. Spin-orbit interactions
10. Macroscopic polarization of solids, Wannier functions, quantum geometric tensor
11. One-dimensional systems, conjugated polymers, charge pumping, edge states
12. Ferroelectrics and piezoelectrics
13. Semiclassical theory of electron dynamics in solids
14. Quantum Hall effect and quantum spin Hall effect
Course content:
1. Adiabatic theorem, Berry phase
2. Dirac monopole, Aharonov-Bohm effect, gauge freedom
3. Pancharatnam phase, nonadiabatic geometric phase and other generalizations
4. Molecular geometric phase, Born-Oppenheimer approximation and beyond
5. Conical intersections, Wigner-von Neumann theorem, codimension of degeneracies
6. Mead-Truhlar effective vector potential
7. Dynamical Jahn-Teller effect in molecules and crystal defects
8. Symmetry/group theory classification of vibronic coupling models
9. Spin-orbit interactions
10. Macroscopic polarization of solids, Wannier functions, quantum geometric tensor
11. One-dimensional systems, conjugated polymers, charge pumping, edge states
12. Ferroelectrics and piezoelectrics
13. Semiclassical theory of electron dynamics in solids
14. Quantum Hall effect and quantum spin Hall effect
- Teacher: Ryan-Tyler Requist