Analysis of a family of strongly commuting self-adjoint operators with applications to perturbed Dirac operators

DOI10.14492/HOKMJ/1351258266zbMath0896.47022OpenAlexW1995547629MaRDI QIDQ1375406

Norio Tominaga

Publication date: 6 October 1998

Published in: Hokkaido Mathematical Journal (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.14492/hokmj/1351258266

zbMATH Keywords

Dirac operatordirect sumexternal field problemexternal electromagnetic fieldd'Alembertianoperator-valued Lorentz transformationsperturbed canonical momentum operatorsquantum theory of spin-\({1\over 2}\) charged particlesunitary transformations of the canonical momentum 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) Linear symmetric and selfadjoint operators (unbounded) (47B25) Selfadjoint operator theory in quantum theory, including spectral analysis (81Q10) Quantum field theory; related classical field theories (81T99) Commutation relations and statistics as related to quantum mechanics (general) (81S05)

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