Matches in SemOpenAlex for { <https://semopenalex.org/work/W2110119909> ?p ?o ?g. }
Showing items 1 to 72 of
72
with 100 items per page.
- W2110119909 endingPage "988" @default.
- W2110119909 startingPage "937" @default.
- W2110119909 abstract "In this paper a new formulation of quantum dynamics of totally constrained systems is developed, in which physical quantities representing time are included as observables. In this formulation the hamiltonian constraints are imposed on a relative probability amplitude functional Ψ which determines the relative probability for each state to be observed, instead of on the state vectors as in the conventional Dirac quantization. This leads to a foliation of the state space by linear manifolds on each of which Ψ is constant, and dynamics is described as linear mappings among acausal subspaces which are transversal to these linear manifolds. This is a quantum analogue of the classical statistical dynamics of totally constrained systems developed in the previous paper. It is shown that if the von Neumann algebra C generated by constants of motion is of type I, Ψ can be consistently normalizable on the acausal subspaces on which a factor subalgebra of C is represented irreducibly, and the mappings among these acausal subspaces are conformal. How the formulation works is illustrated by simple totally constrained systems with a single constraint such as the parametrized quantum mechanics, a relativistic free particle in Minkowski and curved spacetimes, and a simple minisuperspace model. It is pointed out that the inner product of the relative probability amplitudes induced from the original Hilbert space picks up a special decomposition of the wave functions to the positive and the negative frequency modes." @default.
- W2110119909 created "2016-06-24" @default.
- W2110119909 creator A5053787095 @default.
- W2110119909 date "1995-12-01" @default.
- W2110119909 modified "2023-09-27" @default.
- W2110119909 title "Dynamics of Totally Constrained Systems. II: Quantum Theory" @default.
- W2110119909 cites W1586369843 @default.
- W2110119909 cites W1629184635 @default.
- W2110119909 cites W2022806724 @default.
- W2110119909 cites W2094553393 @default.
- W2110119909 cites W2587281081 @default.
- W2110119909 cites W634024570 @default.
- W2110119909 doi "https://doi.org/10.1143/ptp.94.937" @default.
- W2110119909 hasPublicationYear "1995" @default.
- W2110119909 type Work @default.
- W2110119909 sameAs 2110119909 @default.
- W2110119909 citedByCount "4" @default.
- W2110119909 crossrefType "journal-article" @default.
- W2110119909 hasAuthorship W2110119909A5053787095 @default.
- W2110119909 hasBestOaLocation W21101199092 @default.
- W2110119909 hasConcept C11413529 @default.
- W2110119909 hasConcept C121332964 @default.
- W2110119909 hasConcept C12362212 @default.
- W2110119909 hasConcept C126255220 @default.
- W2110119909 hasConcept C130787639 @default.
- W2110119909 hasConcept C134306372 @default.
- W2110119909 hasConcept C202444582 @default.
- W2110119909 hasConcept C28855332 @default.
- W2110119909 hasConcept C33923547 @default.
- W2110119909 hasConcept C37914503 @default.
- W2110119909 hasConcept C62520636 @default.
- W2110119909 hasConcept C62799726 @default.
- W2110119909 hasConcept C74650414 @default.
- W2110119909 hasConcept C79464548 @default.
- W2110119909 hasConcept C84114770 @default.
- W2110119909 hasConceptScore W2110119909C11413529 @default.
- W2110119909 hasConceptScore W2110119909C121332964 @default.
- W2110119909 hasConceptScore W2110119909C12362212 @default.
- W2110119909 hasConceptScore W2110119909C126255220 @default.
- W2110119909 hasConceptScore W2110119909C130787639 @default.
- W2110119909 hasConceptScore W2110119909C134306372 @default.
- W2110119909 hasConceptScore W2110119909C202444582 @default.
- W2110119909 hasConceptScore W2110119909C28855332 @default.
- W2110119909 hasConceptScore W2110119909C33923547 @default.
- W2110119909 hasConceptScore W2110119909C37914503 @default.
- W2110119909 hasConceptScore W2110119909C62520636 @default.
- W2110119909 hasConceptScore W2110119909C62799726 @default.
- W2110119909 hasConceptScore W2110119909C74650414 @default.
- W2110119909 hasConceptScore W2110119909C79464548 @default.
- W2110119909 hasConceptScore W2110119909C84114770 @default.
- W2110119909 hasIssue "6" @default.
- W2110119909 hasLocation W21101199091 @default.
- W2110119909 hasLocation W21101199092 @default.
- W2110119909 hasOpenAccess W2110119909 @default.
- W2110119909 hasPrimaryLocation W21101199091 @default.
- W2110119909 hasRelatedWork W1562591977 @default.
- W2110119909 hasRelatedWork W1968608804 @default.
- W2110119909 hasRelatedWork W2010029316 @default.
- W2110119909 hasRelatedWork W2022945881 @default.
- W2110119909 hasRelatedWork W2335549719 @default.
- W2110119909 hasRelatedWork W2380981290 @default.
- W2110119909 hasRelatedWork W3034545650 @default.
- W2110119909 hasRelatedWork W3097061093 @default.
- W2110119909 hasRelatedWork W3119039956 @default.
- W2110119909 hasRelatedWork W4287389882 @default.
- W2110119909 hasVolume "94" @default.
- W2110119909 isParatext "false" @default.
- W2110119909 isRetracted "false" @default.
- W2110119909 magId "2110119909" @default.
- W2110119909 workType "article" @default.