Construction of a Weyl representation from a weak Weyl representation of the canonical commutation relation

DOI10.1007/s11005-008-0220-4zbMath1161.81357OpenAlexW2084494488MaRDI QIDQ1013605

Yasumichi Matsuzawa, Asao Arai

Publication date: 20 April 2009

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

Full work available at URL: https://doi.org/10.1007/s11005-008-0220-4

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) Phase-space methods including Wigner distributions, etc. applied to problems in quantum mechanics (81S30)

Related Items

Hilbert space representations of generalized canonical commutation relations ⋮ Ultra-weak time operators of Schrödinger operators ⋮ TIME OPERATORS OF A HAMILTONIAN WITH PURELY DISCRETE SPECTRUM ⋮ Necessary and sufficient conditions for a Hamiltonian with discrete eigenvalues to have time operators ⋮ Strong time operators associated with generalized Hamiltonians ⋮ On the uniqueness of weak Weyl representations of the canonical commutation relation

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• Time in the Quantum Theory and the Uncertainty Relation for Time and Energy
• Rigorous theory of spectra and radiation for a model in quantum electrodynamics
• GENERALIZED WEAK WEYL RELATION AND DECAY OF QUANTUM DYNAMICS

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