Selfadjoint operator extensions satisfying the Weyl commutation relations

DOI10.1090/S0273-0979-1979-14583-XzbMath0418.47010OpenAlexW2071418675MaRDI QIDQ3851152

Palle E. T. Jorgensen

Publication date: 1979

Published in: Bulletin of the American Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1090/s0273-0979-1979-14583-x

zbMATH Keywords

unitary representationscommutation relations

Mathematics Subject Classification ID

Linear symmetric and selfadjoint operators (unbounded) (47B25) Applications of selfadjoint operator algebras to physics (46L60) Dilations, extensions, compressions of linear operators (47A20)

Related Items (6)

Dissipative and nonunitary solutions of operator commutation relations ⋮ Commutators of Hamiltonian operators and non-Abelian algebras ⋮ Geometric construction of \(*\)-representations of the Weyl algebra with degree 2 ⋮ Selfadjoint extension operators commuting with an algebra ⋮ On the Heisenberg commutation relation. II ⋮ On the Heisenberg commutation relation. I

Cites Work

• Unitary representations defined by boundary conditions - the case of sl(2,R)
• Nonlinear functions of weak processes. II
• On \(C^\infty\)-vectors and intertwining bilinear forms for representations of Lie groups
• Selfadjoint Algebras of Unbounded Operator. II
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