Necessary and sufficient conditions for a Hamiltonian with discrete eigenvalues to have time operators
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Publication:1013624
DOI10.1007/s11005-008-0286-zzbMath1161.81356OpenAlexW2165906163MaRDI QIDQ1013624
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/s11005-008-0286-z
Applications of operator theory in the physical sciences (47N50) Selfadjoint operator theory in quantum theory, including spectral analysis (81Q10)
Related Items (9)
A note on time operators ⋮ Ultra-weak time operators of Schrödinger operators ⋮ Universal raising and lowering operators for a discrete energy spectrum ⋮ Discrete self-adjointness and quantum dynamics. Travel times ⋮ A method for choosing an initial time eigenstate in classical and quantum systems ⋮ Potentials for non-local Schrödinger operators with zero eigenvalues ⋮ Absence of embedded eigenvalues for non-local Schrödinger operators ⋮ Exact finite differences. The derivative on non uniformly spaced partitions ⋮ Time operators and time crystals: self-adjointness by topology change
Cites Work
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- Classification of certain pairs of operators (P,Q) satisfying \([P,Q=- iId\)]
- Construction of a Weyl representation from a weak Weyl representation of the canonical commutation relation
- On the uniqueness of weak Weyl representations of the canonical commutation relation
- On the Heisenberg commutation relation. I
- Spectrum of time operators
- A generalized Weyl relation approach to the time operator and its connection to the survival probability
- TIME OPERATORS OF A HAMILTONIAN WITH PURELY DISCRETE SPECTRUM
- Self–adjoint time operator is the rule for discrete semi–bounded Hamiltonians
- GENERALIZED WEAK WEYL RELATION AND DECAY OF QUANTUM DYNAMICS
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