A geometric generalization of classical mechanics and quantization
โ Scribed by R K Varma
- Book ID
- 112909438
- Publisher
- Springer-Verlag
- Year
- 1984
- Tongue
- English
- Weight
- 576 KB
- Volume
- 23
- Category
- Article
- ISSN
- 0304-4289
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๐ SIMILAR VOLUMES
We generalize classical statistical mechanics to describe the kynematics and the dynamics of systems whose variables are constrained by a single quantum postulate (discreteness of the spectrum of values of at least one variable of the theory). This is possible provided we adopt Feynman's suggestion
We start with a Galilei-invariant symplectic model of two charged particles with spin and magnetic moment in interaction, which could serve as a model for the (classical) hydrogen atom. To this model we apply two different versions of geometric quantization and we obtain a hamiltonian operator which