2024-03-28T21:06:02Zhttps://eprints.lib.hokudai.ac.jp/dspace-oai/requestoai:eprints.lib.hokudai.ac.jp:2115/689612022-11-17T02:08:08Zhdl_2115_45007hdl_2115_116Seeding limit of anticommuting self-adjoint operators and nonrelativistic limit of Dirac operatorsArai, A.open access410Let A and B be two ant1commut1ng self-adjoint operators and V ( 11,) be a symmetric operator in a Hilbert space, where 11, > 0 is a parameter. We prove that, under some conditions for V ( K), the resolvents of KA + 11,2 i3 ± 11,2 I BI + V ( K) converge as K -+ oo. This solves in a most general form the nonrelativistk-limit problem of Dirac operators.Department of Mathematics, Hokkaido University1993-09engdepartmental bulletin paperVoRhttps://doi.org/10.14943/83359http://hdl.handle.net/2115/6896110.14943/83359Hokkaido University Preprint Series in Mathematics215235https://eprints.lib.hokudai.ac.jp/dspace/bitstream/2115/68961/1/pre215.pdfapplication/pdf1.2 MB1993-09