The Stone–von Neumann theorem is a fundamental result which unified the competing quantum-mechanical models of matrix mechanics and wave mechanics. In this article, we continue the broad generalization set out by Huang and Ismert and by Hall, Huang, and Quigg, analyzing representations of locally...
The Stone–von Neumann theorem is a uniqueness theorem for operators satisfying the canonical commutation relations. Suppose A and B are two self-adjoint operators on H satisfying $$[A,B] = i
(1999). On the stone-von neumann uniqueness theorem and its ramifications. In M. Redei and M. Stoeltzner (Eds.), John von-Neumann and the Foundations of Quantum Physics, pp. 135- 152. Dordrecht: Kluwer.S.J. Summers, On the Stone-von Neumann uniqueness theorem and its ramifications, ...
KeywordsStonetypetheorem;HilbertC ∗ -modules;spectrumdecomposition MR(2000)SubjectClassification46L08 ChineseLibraryClassificationO175.3,O177.5 1 Stone, ., HilbertC ∗ -, [1] .,Stone .,HilbertC ∗ -Stone(1). HilbertC ∗ -: ...
摘要: It is shown that spectral subspaces of automorphisms of a von Neumann algebra can be defined by use of Stone's theorem on unitary representations.关键词:46L10 46L05 43A25 DOI: 10.1090/s0002-9939-1978-0467342-3 被引量: 1 年份: 1978 ...
A short elementary proof of the Bishop-Stone-Weierstrass theorem Math. Proc. Cambridge Philos. Soc., 96 (1984), pp. 309-311 View in ScopusGoogle Scholar [9] J. von Neumann Probabilistic logics and the synthesis of reliable organisms from unreliable components C.E. Shannon, J. McCarthy (...
The Stone-Von Neumann TheoremStone-Von Neumann theoremlocally compact abelian caseWeil representationfinite abelian groupskew-multiplicative pairingdoi:10.1002/9781118032947.ch3M. BergJohn Wiley & Sons, Ltd
VON Neumann algebrasCOMPACT operatorsIn this paper, we formulate and prove a version of the Stone-von Neumann Theorem for every C*-dynamical system of the form (G,K(H),伪), where G is a locally compact Hausdorff abelian group and H is a Hilbert space. The novelty of our work stems ...
The Stone-Von Neumann TheoremStone-Von Neumann theoremlocally compact abelian caseWeil representationfinite abelian groupskew-multiplicative pairingdoi:10.1002/9781118032947.ch3BergMichael C.John Wiley & Sons, Ltd
Stone-Von Neumann theoremlocally compact abelian caseWeil representationfinite abelian groupskew-multiplicative pairingSummary This chapter contains sections titled: The Finite Case: A Paradigm The Locally Compact Abelian Case: Some Remarks The Form of the Stone-Von Neumann Theorem Used in § 4.1Michael...