Di Cosmo, F. and Marmo, G. and Zampini, A. (2015) Topology and quantum states: The electron-monopole system. Il nuovo cimento C, 38 (5). pp. 1-18. ISSN 1826-9885
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Abstract
This paper starts by describing the dynamics of the electronmonopole system at both classical and quantum level by a suitable reduction procedure. This suggests, in order to realise the space of states for quantum systems which are classically described on topologically non-trivial configuration spaces, to consider Hilbert spaces of exterior differential forms. Among the advantages of this formulation, we present—in the case of the group SU(2), how it is possible to obtain all unitary irreducible representations on such a Hilbert space, and how it is possible to write scalar Dirac-type operators, following an idea by K¨ahler.
| Item Type: | Article |
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| Uncontrolled Keywords: | Algebraic methods; Geometry, differential geometry, and topology |
| Subjects: | 500 Scienze naturali e Matematica > 530 Fisica |
| Depositing User: | Marina Spanti |
| Date Deposited: | 23 Jun 2020 08:53 |
| Last Modified: | 23 Jun 2020 08:53 |
| URI: | http://eprints.bice.rm.cnr.it/id/eprint/19147 |
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