Axiom System and Completeness Expression for Quantum Mechanics
| dc.creator | Held, Carsten | |
| dc.date | 2007-05-18 | |
| dc.date | 2007-05-25 | |
| dc.date.accessioned | 2026-07-07T12:43:05Z | |
| dc.date.available | 2026-07-07T12:43:05Z | |
| dc.description | The standard axiomatization of quantum mechanics (QM) is not fully explicit about the role of the time-parameter. Especially, the time reference within the probability algorithm (the Born Rule, BR) is unclear. Using a plausible principle P1, about the role of probability in a physical theory, and a second principle P2 affording a most natural way to make BR precise, a logical conflict with the standard expression for the completeness of QM can be derived. Rejecting P1 is implausible. Rejecting P2 leads to unphysical results and to a conflict with a generalization of P2, a principle P3. It is thus made plausible that the standard expression of QM completeness must be revised. An absolutely explicit form of the axioms is provided, including a precise form of the projection postulate. An appropriate expression for QM completeness, reflecting the restrictions of the Gleason and Kochen-Specker theorems is proposed. | |
| dc.description | 20 pages, no figures | |
| dc.identifier | https://arxiv.org/abs/0705.2763 | |
| dc.identifier | http://arxiv.org/abs/0705.2763 | |
| dc.identifier | Found. Phys. 38: 707-732, 2008 | |
| dc.identifier | doi:10.1007/s10701-008-9230-4 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/220299 | |
| dc.subject | Quantum Physics | |
| dc.title | Axiom System and Completeness Expression for Quantum Mechanics | |
| dc.type | text |