The quantum problem of moments. I

DOI10.1016/0034-4877(70)90008-XzbMath0211.43903OpenAlexW4238152237MaRDI QIDQ2544283

Stanisław Lech Woronowicz

Publication date: 1970

Published in: Reports on Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0034-4877(70)90008-x

Mathematics Subject Classification ID

Applications of operator theory in the physical sciences (47N50) Applications of functional analysis in quantum physics (46N50) Commutative Banach algebras and commutative topological algebras (46J99)

Related Items (18)

Induced Quadratic Modules ⋮ Normal forms on partial O*-algebras ⋮ An unbounded generalization of the Tomita-Takesaki theory. II ⋮ The quantum moment problem for a classical random variable and a classification of interacting Fock spaces ⋮ Modular structure of algebras of unbounded operators ⋮ Symmetry reduction of states. I ⋮ Extension of Tomita-Takesaki theory to the unbounded algebra of the canonical commutation relations ⋮ Non-commutative moment problems ⋮ A noncommutative moment problem ⋮ A strict Positivstellensatz for the Weyl algebra ⋮ Theorem about completeness of quantum mechanical motion group ⋮ A generalization of the classical moment problem on \(^*\)-algebras with applications to relativistic quantum theory. I ⋮ On trace representation of linear functionals on unbounded operator algebras ⋮ Quantum mechanical Wiener processes ⋮ Positive elements in the algebra of the quantum moment problem ⋮ The quantum problem of moments. II ⋮ Trace representation of weights on algebras of unbounded operators ⋮ The normality of strongly positive states on the CCR algebra

Cites Work

• Analytic vectors
• A theorem of Stone and von Neumann
• On a theorem of Mackey, Stone and v. Neumann

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