2022-05-27T02:16:22Zhttps://eprints.lib.hokudai.ac.jp/dspace-oai/requestoai:eprints.lib.hokudai.ac.jp:2115/690892018-04-25T23:44:06Zhdl_2115_45007hdl_2115_116Analysis of a family of strongly commuting self-adjoint operators with applications to perturbed Dirac operatorsTominaga, N.410It is shown that a class of unitary transformations of the canonical momentum operator in a direct sum of L2 (Rd ) is given by a class of operator-valued Lorentz transformations of perturbed canonical momentum operators. As an application, analysis of the quantum theory of spin-½ charged particles in an external electromagnetic field is given.Departmental Bulletin Paperapplication/pdfhttp://hdl.handle.net/2115/69089info:doi/10.14943/83485https://eprints.lib.hokudai.ac.jp/dspace/bitstream/2115/69089/1/pre339.pdfHokkaido University Preprint Series in Mathematics3391291996-06-01engpublisher