Matches in SemOpenAlex for { <https://semopenalex.org/work/W3098515745> ?p ?o ?g. }
Showing items 1 to 89 of
89
with 100 items per page.
- W3098515745 endingPage "225" @default.
- W3098515745 startingPage "209" @default.
- W3098515745 abstract "Complex phase factors are viewed not only as redundancies of the quantum formalism but instead as remnants of unitary transformations under which the probabilistic properties of observables are invariant. It is postulated that a quantum observable corresponds to a unitary representation of an abelian Lie group, the irreducible subrepresentations of which correspond to the observable's outcomes. It is shown that this identification agrees with the conventional identification as self-adjoint operators. The upshot of this formalism is that one may 'second quantize' the representation to which an observable corresponds, thus obtaining the corresponding Fock space representation. This Fock space representation is then also identifiable as an observable in the same sense, the outcomes of which are naturally interpretable as ensembles of outcomes of the corresponding non-second quantized observable. The frequency interpretation of probability is adopted, i.e. probability as the average occurrence, from which Born's rule is deduced by enforcing the notion of 'average' to such that are invariant under the second quantized unitary representation which defines the quantum observable to which the initial state is an outcome. The enforcement of this invariance is an application the principle referred to as the 'principle of unitary equivalence'." @default.
- W3098515745 created "2020-11-23" @default.
- W3098515745 creator A5071750104 @default.
- W3098515745 date "2020-04-01" @default.
- W3098515745 modified "2023-09-26" @default.
- W3098515745 title "Born's Rule from the Principle of Unitary Equivalence" @default.
- W3098515745 cites W1479923323 @default.
- W3098515745 cites W1494451570 @default.
- W3098515745 cites W1510667201 @default.
- W3098515745 cites W1589000477 @default.
- W3098515745 cites W1697219761 @default.
- W3098515745 cites W1869543603 @default.
- W3098515745 cites W1986310174 @default.
- W3098515745 cites W1987630316 @default.
- W3098515745 cites W2113099925 @default.
- W3098515745 cites W2115336412 @default.
- W3098515745 cites W2135830616 @default.
- W3098515745 cites W2196286450 @default.
- W3098515745 cites W2338948403 @default.
- W3098515745 cites W2483286164 @default.
- W3098515745 cites W2771818158 @default.
- W3098515745 cites W2952918808 @default.
- W3098515745 cites W2998657146 @default.
- W3098515745 cites W3009578594 @default.
- W3098515745 cites W3101444933 @default.
- W3098515745 cites W3102535895 @default.
- W3098515745 cites W33845272 @default.
- W3098515745 cites W579587226 @default.
- W3098515745 cites W621698867 @default.
- W3098515745 cites W647986212 @default.
- W3098515745 doi "https://doi.org/10.1016/s0034-4877(20)30025-2" @default.
- W3098515745 hasPublicationYear "2020" @default.
- W3098515745 type Work @default.
- W3098515745 sameAs 3098515745 @default.
- W3098515745 citedByCount "1" @default.
- W3098515745 countsByYear W30985157452021 @default.
- W3098515745 crossrefType "journal-article" @default.
- W3098515745 hasAuthorship W3098515745A5071750104 @default.
- W3098515745 hasBestOaLocation W30985157452 @default.
- W3098515745 hasConcept C114852677 @default.
- W3098515745 hasConcept C121332964 @default.
- W3098515745 hasConcept C151342819 @default.
- W3098515745 hasConcept C17744445 @default.
- W3098515745 hasConcept C187915474 @default.
- W3098515745 hasConcept C190470478 @default.
- W3098515745 hasConcept C199539241 @default.
- W3098515745 hasConcept C202444582 @default.
- W3098515745 hasConcept C2776122010 @default.
- W3098515745 hasConcept C32848918 @default.
- W3098515745 hasConcept C33923547 @default.
- W3098515745 hasConcept C37914503 @default.
- W3098515745 hasConcept C62520636 @default.
- W3098515745 hasConcept C67820243 @default.
- W3098515745 hasConceptScore W3098515745C114852677 @default.
- W3098515745 hasConceptScore W3098515745C121332964 @default.
- W3098515745 hasConceptScore W3098515745C151342819 @default.
- W3098515745 hasConceptScore W3098515745C17744445 @default.
- W3098515745 hasConceptScore W3098515745C187915474 @default.
- W3098515745 hasConceptScore W3098515745C190470478 @default.
- W3098515745 hasConceptScore W3098515745C199539241 @default.
- W3098515745 hasConceptScore W3098515745C202444582 @default.
- W3098515745 hasConceptScore W3098515745C2776122010 @default.
- W3098515745 hasConceptScore W3098515745C32848918 @default.
- W3098515745 hasConceptScore W3098515745C33923547 @default.
- W3098515745 hasConceptScore W3098515745C37914503 @default.
- W3098515745 hasConceptScore W3098515745C62520636 @default.
- W3098515745 hasConceptScore W3098515745C67820243 @default.
- W3098515745 hasIssue "2" @default.
- W3098515745 hasLocation W30985157451 @default.
- W3098515745 hasLocation W30985157452 @default.
- W3098515745 hasOpenAccess W3098515745 @default.
- W3098515745 hasPrimaryLocation W30985157451 @default.
- W3098515745 hasRelatedWork W1541165122 @default.
- W3098515745 hasRelatedWork W1894354547 @default.
- W3098515745 hasRelatedWork W1963536419 @default.
- W3098515745 hasRelatedWork W1981909949 @default.
- W3098515745 hasRelatedWork W2070334994 @default.
- W3098515745 hasRelatedWork W2072561716 @default.
- W3098515745 hasRelatedWork W2088544526 @default.
- W3098515745 hasRelatedWork W2120297272 @default.
- W3098515745 hasRelatedWork W2560565190 @default.
- W3098515745 hasRelatedWork W3022432132 @default.
- W3098515745 hasVolume "85" @default.
- W3098515745 isParatext "false" @default.
- W3098515745 isRetracted "false" @default.
- W3098515745 magId "3098515745" @default.
- W3098515745 workType "article" @default.