TIME OPERATORS OF A HAMILTONIAN WITH PURELY DISCRETE SPECTRUM

DOI10.1142/S0129055X08003481zbMath1155.81321OpenAlexW2148669944MaRDI QIDQ3602245

Asao Arai, Yasumichi Matsuzawa

Publication date: 12 February 2009

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

Full work available at URL: https://doi.org/10.1142/s0129055x08003481

zbMATH Keywords

Hamiltonianspectrumcanonical commutation relationtime operatortime-energy uncertainty relationregular perturbation theoryphase operator

Mathematics Subject Classification ID

Closed and approximate solutions to the Schrödinger, Dirac, Klein-Gordon and other equations of quantum mechanics (81Q05) 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 ⋮ Characterizing multiple solutions to the time-energy canonical commutation relation via quantum dynamics ⋮ A method for choosing an initial time eigenstate in classical and quantum systems ⋮ Necessary and sufficient conditions for a Hamiltonian with discrete eigenvalues to have time operators ⋮ Strong time operators associated with generalized Hamiltonians ⋮ Exact finite differences. The derivative on non uniformly spaced partitions ⋮ Time operators and time crystals: self-adjointness by topology change

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