Positive operator measures determined by their moment sequences

DOI10.1016/S0034-4877(00)88876-XzbMath0952.47054OpenAlexW1976167337MaRDI QIDQ1573867

Kari Ylinen, Anatolij Dvurečenskij, Pekka J. Lahti

Publication date: 9 August 2000

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

Full work available at URL: https://doi.org/10.1016/s0034-4877(00)88876-x

zbMATH Keywords

moment problemphase spaceoperator measuresunsharp phase and number observables

Mathematics Subject Classification ID

Applications of operator theory in the physical sciences (47N50) Linear operator methods in interpolation, moment and extension problems (47A57) Vector-valued measures and integration (46G10) Logical foundations of quantum mechanics; quantum logic (quantum-theoretic aspects) (81P10)

Related Items (8)

Phase space quantization and the operator moment problem ⋮ Unnamed Item ⋮ On the moment limit of quantum observables, with an application to the balanced homodyne detection ⋮ Noise and disturbance in quantum measurement ⋮ Two questions on quantum probability ⋮ Transition effect matrices and quantum Markov chains ⋮ Semispectral measures as convolutions and their moment operators ⋮ The uniqueness question in the multidimensional moment problem with application to phase space observables.

Cites Work

• The classical moment problem as a self-adjoint finite difference operator
• The moment operators of phase space observables and their number margins
• Moment problem for effect algebras
• A class of orthogonal polynomials
• Covariant phase observables in quantum mechanics
• Operator integrals and phase space observables
• Operational Quantum Physics
• What is the Laplace Transform?
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