Fiber Bundles in Non-relativistic Quantum Mechanics
β Scribed by P. Moylan
- Publisher
- John Wiley and Sons
- Year
- 1980
- Tongue
- English
- Weight
- 751 KB
- Volume
- 28
- Category
- Article
- ISSN
- 0015-8208
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β¦ Synopsis
Abstract
The problem of describing a quantum mechanical system with symmetry by a fiber bundle is considered. The quantization of a fiber bundle is introduced. Fiber bundles for the Kepler problem and the rotator are constructed. The fiber bundle concept provides a new model for a physical system: it provides us with a model for an elementary particle with extension having integral values of spin.
π SIMILAR VOLUMES
We generalize to a Lorentz covariant formalism (with proper-time dependence) the non-negative phase-space distribution proposed by Kuryshkin and make a specific proposal to define the corresponding correspondence rule between functions of phase-space and quantum operators on the basis of the introdu
The problem qf bound states of' a charged particle and its antiparticle is ,formulated in the ,framework of the relativistic quantum mechanics qf a single scalar particle interacting with the electromagnetic field. The Coulomb interaction between the particle and the antiparticle gives rise to the b