HEISENBERG OPERATORS, INVARIANT DOMAINS AND HEISENBERG EQUATIONS OF MOTION

DOI10.1142/S0129055X07003206zbMath1205.81083OpenAlexW2109607933MaRDI QIDQ5386931

Asao Arai

Publication date: 14 May 2008

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

Full work available at URL: https://doi.org/10.1142/s0129055x07003206

zbMATH Keywords

Schrödinger operatorDirac operatorinvariant domainHeisenberg equation of motionHeisenberg operator

Mathematics Subject Classification ID

Applications of operator theory in the physical sciences (47N50) Selfadjoint operator theory in quantum theory, including spectral analysis (81Q10) Commutation relations and statistics as related to quantum mechanics (general) (81S05)

Related Items (4)

Construction of dynamics and time-ordered exponential for unbounded non-symmetric Hamiltonians ⋮ A Hardy's uncertainty principle lemma in weak commutation relations of Heisenberg-Lie algebra ⋮ Heisenberg operators of a Dirac particle interacting with the quantum radiation field ⋮ TIME OPERATORS OF A HAMILTONIAN WITH PURELY DISCRETE SPECTRUM

Cites Work

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• Anticommuting selfadjoint operators
• Characterization of anticommutativity of self-adjoint operators in connection with Clifford algebra and applications
• Die Eindeutigkeit der Schrödingerschen Operatoren
• On the virial theorem in quantum mechanics

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