On the uniqueness of weak Weyl representations of the canonical commutation relation

DOI10.1007/S11005-008-0252-9zbMath1162.81017OpenAlexW2115097262MaRDI QIDQ1024835

Asao Arai

Publication date: 17 June 2009

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

Full work available at URL: https://doi.org/10.1007/s11005-008-0252-9

zbMATH Keywords

Hamiltonianspectrumcanonical commutation relationtime operatorweak Weyl representationWeyl representation

Mathematics Subject Classification ID

Applications of operator theory in the physical sciences (47N50) Selfadjoint operator theory in quantum theory, including spectral analysis (81Q10)

Related Items (5)

Ultra-weak time operators of Schrödinger operators ⋮ Representations of the weak Weyl commutation relation ⋮ Necessary and sufficient conditions for a Hamiltonian with discrete eigenvalues to have time operators ⋮ Strong time operators associated with generalized Hamiltonians ⋮ On the reducibility of the Weyl algebra for a semibounded space

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• Time in the Quantum Theory and the Uncertainty Relation for Time and Energy
• On the Weyl algebras for systems with semibounded and bounded configuration space
• SOME ASPECTS OF TIME OPERATORS
• GENERALIZED WEAK WEYL RELATION AND DECAY OF QUANTUM DYNAMICS

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