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Abstract
The role of symplectic area quantization in the dynamics of charged particles in electromagnetic fields is investigated. The connection between symplectic geometry and quantum mechanics is explored through the study of magnetic translations and the Landau problem. Explicit formulas for quantum phases in terms of classical symplectic areas are derived.
Keywords
Symplectic Geometry
Quantization
Electromagnetic Fields
Magnetic Translations
Landau Levels
Phase Space
Charged Particles
Metadata
| Date | 2000 |
|---|---|
| Publisher | IOP Publishing |
| Language | English |
| Pages | 23 |
| PACS Codes | 03.65.Sq, 03.65.Ca |
Citation
M. F. Kondratieva, T. A. Osborn, "Symplectic Areas, Quantization and Dynamics in Electromagnetic Fields," Journal of Physics A: Mathematical and General 33, 7239-7261 (2000).
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