Position operators as integrals with respect to Euclidean systems of covariance

DOI10.1007/BF00400320zbMath0514.22017OpenAlexW1976778984MaRDI QIDQ1051108

Domenico P. L. Castrigiano

Publication date: 1982

Published in: Letters in Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf00400320

zbMATH Keywords

position operatorsPoincare groupsystem of imprimitivity

Mathematics Subject Classification ID

Infinite-dimensional groups and algebras motivated by physics, including Virasoro, Kac-Moody, (W)-algebras and other current algebras and their representations (81R10) Applications of Lie groups to the sciences; explicit representations (22E70)

Related Items

Dilations of symmetric operators shifted by a unitary group

Cites Work

• Unnamed Item
• On Mackey's imprimitivity theorem
• Systems of covariance and subrepresentations of induced representations
• On Euclidean systems of covariance for massless particles
• Coherent states and induced representations
• On the repeated measurement of continuous observables in quantum mechanics
• Localized States for Elementary Systems