danromuald / GeometricPhase

Lecture Notes for the Seminar Course given by prof. Mukundan about the Geometric Phase

GeometricPhase

Lecture Notes for the Seminar Course given by prof. Mukundan about the Geometric Phase

The complete lecture series are freely available at this link

Contents

1. Overview
2. Berry discovery of 1983-84
   1. Simplified Form
      1. Adiabatic condition
   2. Berry original derivation with parameter space
      1. Two fold degeneracies
3. Aharonov-Anandan and Samuel-Bhandari generalizations
   1. Aharonov-Anandan generalization (1987)
   2. S-R generalization (1988)
4. The kinematic approach and the Bargmann’s Invariant
   1. Bargmann’s Invariant . .
5. Bibliography