|
Hokkaido University Collection of Scholarly and Academic Papers >
Graduate School of Science / Faculty of Science >
Hokkaido University Preprint Series in Mathematics >
Factorization of self-adjoint operators by abstract Dirac operators and its application to second quantizations on Boson Fermion Fock spaces
| Title: | Factorization of self-adjoint operators by abstract Dirac operators and its application to second quantizations on Boson Fermion Fock spaces |
| Authors: | Arai, A. Browse this author |
| Issue Date: | 1-Dec-1995 |
| Publisher: | Department of Mathematics, Hokkaido University |
| Journal Title: | Hokkaido University Preprint Series in Mathematics |
| Volume: | 324 |
| Start Page: | 2 |
| End Page: | 15 |
| Abstract: | We develop an abstract theory on factorization of nonnegative self-adjoint operators in terms of abstract Dirac operators. As an application, we obtain a necessary and sufficient condition for a second quantization on the abstract Boson-Fermion Fock space to be the square of a Dirac type operator and a result on uniqueness of such Dirac type operators. |
| Type: | bulletin (article) |
| URI: | http://hdl.handle.net/2115/69075 |
| Appears in Collections: | 理学院・理学研究院 (Graduate School of Science / Faculty of Science) > Hokkaido University Preprint Series in Mathematics
|
Submitter: 数学紀要登録作業用
|
