TABL E O F CONTENT S
1. Introduction 1
2. Generic Minimal Multiplicity Quantum Eigenvalue Crossings 9
3. Technical Preliminaries 28
3A. Semiclassical Wave Packets 28
3B. Adiabatic Electronic States 32
3C. Rigorous Error Estimates from Formal Calculations 36
4. Born-Oppenheimer Propagation Away from Crossings 39
4A. The Multiplicity 1 Case 39
4B. The Multiplicity 2 Case 45
5. Codimension 1 Crossings 49
5A. Crossings of Types A and C 50
5B. Crossings of Types F and G 75
5C. Crossings of Types D, E, and H 78
6. Codimension 2 Crossings 80
7. Codimension 3 Crossings 113
8. Codimension 5 Crossings 121
References 127
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