Quantum objects in a sheaf framework
| Autor: | Fedorova, Antonina N., Zeitlin, Michael G. |
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| Rok vydání: | 2017 |
| Předmět: | |
| Zdroj: | Journal of Physics CS, vol. 490, 012224, 2014 |
| Druh dokumentu: | Working Paper |
| DOI: | 10.1088/1742-6596/490/1/012224 |
| Popis: | We consider some generalization of the theory of quantum states and demonstrate that the consideration of quantum states as sheaves can provide, in principle, more deep understanding of some well-known phenomena. The key ingredients of the proposed construction are the families of sections of sheaves with values in the proper category of the functional realizations of infinite-dimensional Hilbert spaces with special (multiscale) filtrations decomposed into the (entangled) orbits generated by actions/representations of internal hidden symmetries. In such a way, we open a possibility for the exact description and reinterpretation of a lot of quantum phenomena. Comment: Short sketch conference version of arXiv:1109.5035 |
| Databáze: | arXiv |
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