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Symmetries of Hilbert space effect algebrasŠemrl, PeterNaj bo ▫$H$▫ Hilbertov prostor in ▫$E(H)$▫ algebra efektov na ▫$H$▫, to je, množica vseh sebiadjungiranih operatorjev ▫$A \colon H \to H$▫, za katere velja ▫$0 \le A \le I$▫. To algebro lahko ... opremimo z različnimi operacijami in relacijami, ki so relevantne v matematični formalizaciji kvantne mehanike. Avtomorfizme tako dobljenih struktur imenujemo simetrije. Predstavimo novo metodo za opis splošne oblike teh preslikav. Glavna ideja je prevedba na problem karakterizacije ohranjevalcev sosednosti. Z našim novim pristopom ponovno dokažemo nekatere že znane rezultate, a tudi nekaj novih.Source: Journal of the London Mathematical Society. - ISSN 0024-6107 (Vol. 88, part 2, 2013, str. 417-436)Type of material - article, component partPublish date - 2013Language - englishCOBISS.SI-ID - 16756569
Author
Šemrl, Peter
Topics
matematika |
teorija operatorjev |
kvantna mehanika |
sebi adjungirani operatorji |
avtomorfizmi |
algebre efektov |
ohranjevalci sosednosti |
simetrije kvantnih struktur |
mathematics |
operator theory |
quantum mechanics |
self-adjoint operators |
effect algebras |
adjacency-preserving maps |
symmetries of quantum structures
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Šemrl, Peter | 05953 |
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