Analysis of a family of strongly commuting self-adjoint operators with applications to perturbed d'Alembertians and the external field problem in quantum field theory

DOI10.14492/hokmj/1351516726zbMath0854.47037OpenAlexW2146748746MaRDI QIDQ1918245

Norio Tominaga, Asao Arai

Publication date: 22 January 1997

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

Full work available at URL: https://doi.org/10.14492/hokmj/1351516726

zbMATH Keywords

Minkowski spaceselfadjoint operatorsunitary transformationsexternal field problemexternal electromagnetic fieldKlein-Gordon operatoroperator-valued Lorentz transformationscanonical momentum operatorcharged spinless relativistic particleoperator calculiperturbed d'Alembertiansproper-time methodstrongly commuting selfadjoint operators

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) Functional calculus for linear operators (47A60) Linear symmetric and selfadjoint operators (unbounded) (47B25) Selfadjoint operator theory in quantum theory, including spectral analysis (81Q10) Axiomatic quantum field theory; operator algebras (81T05) Commutation relations and statistics as related to quantum mechanics (general) (81S05)

Related Items (1)

Representation-theoretic aspects of two-dimensional quantum systems in singular vector potentials: Canonical commutation relations, quantum algebras, and reduction to lattice quantum systems

This page was built for publication: Analysis of a family of strongly commuting self-adjoint operators with applications to perturbed d'Alembertians and the external field problem in quantum field theory