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Seeding limit of anticommuting self-adjoint operators and nonrelativistic limit of Dirac operators
Title: | Seeding limit of anticommuting self-adjoint operators and nonrelativistic limit of Dirac operators |
Authors: | Arai, A. Browse this author |
Issue Date: | Sep-1993 |
Publisher: | Department of Mathematics, Hokkaido University |
Journal Title: | Hokkaido University Preprint Series in Mathematics |
Volume: | 215 |
Start Page: | 2 |
End Page: | 35 |
Abstract: | Let 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. |
Type: | bulletin (article) |
URI: | http://hdl.handle.net/2115/68961 |
Appears in Collections: | 理学院・理学研究院 (Graduate School of Science / Faculty of Science) > Hokkaido University Preprint Series in Mathematics
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Submitter: 数学紀要登録作業用
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