| Type | Author(s) | Title | Other Titles | Citation | Citation(alt) | Issue Date |
| bulletin (article) | Arai, A. | 1989年度談話会アブストラクト集 Colloquium Lectures 北海道大学理学部数学教室 | - | Hokkaido University technical report series in mathematics | 北海道大学数学講究録 | 1-Jan-1990 |
| bulletin (article) | Arai, A.; Tominaga, N. | 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 | - | Hokkaido University Preprint Series in Mathematics | - | 1-Feb-1995 |
| bulletin (article) | Arai, A. | Canonical commutation relations, the Weierstrass Zetafunction, and infinite dimensional Hilbert space representations of the quantum group Uq (sl2) | - | Hokkaido University Preprint Series in Mathematics | - | 1-Nov-1995 |
| bulletin (article) | Arai, A. | Characterization of anticommutativity of self-adjoint operators in connection with Clifford algebra and applications | - | Hokkaido University Preprint Series in Mathematics | - | Jun-1993 |
| bulletin (article) | Arai, A.; Kawano, H. | A class of deformations of the Schrdinger representation of the Heisenberg commutation relation and exact solution to a Heisenberg equation and a Schrdinger equation | - | Hokkaido University Preprint Series in Mathematics | - | 1-Jun-2000 |
| bulletin (article) | Arai, A. | A class of representations of the *-algebra of the canonical commutation relations over a Hilbert space and instability of embedded eigenvalues in quantum field models | - | Hokkaido University Preprint Series in Mathematics | - | 1-Dec-1996 |
| bulletin (article) | Arai, A. | Essential spectrum of a self-adjoint operator on an abstract Hilbert space of Fock type and applications to quantum field Hamiltonians | - | Hokkaido University Preprint Series in Mathematics | - | 1-Feb-1999 |
| bulletin (article) | Arai, A. | Factorization of self-adjoint operators by abstract Dirac operators and its application to second quantizations on Boson Fermion Fock spaces | - | Hokkaido University Preprint Series in Mathematics | - | 1-Dec-1995 |
| bulletin (article) | Arai, A. | Fundamental properties of the Hamiltonian of a Dirac particle coupled to the quantized radiation field | - | Hokkaido University Preprint Series in Mathematics | - | 1-Feb-1999 |
| bulletin (article) | Arai, A. | Gauge theory on a non-simply-connected domain and representations of canonical commutation relations | - | Hokkaido University Preprint Series in Mathematics | - | 1-Nov-1994 |
| article (author version) | Liu, Y.; Zhang, Y.; Cho, Y. T.; Obayashi, Y.; Arai, A.; Tamashiro, H. | Gender differences of suicide in Japan, 1947-2010 | - | Journal of affective disorders | - | Oct-2013 |
| bulletin (article) | Arai, A. | Ground state of the massless Nelson model without infrared cutoff in a non-Fock representation | - | Hokkaido University Preprint Series in Mathematics | - | 1-Nov-2000 |
| bulletin (article) | Arai, A.; Hirokawa, H. | Grounds states of a general class of quantum field Hamiltonians | - | Hokkaido University Preprint Series in Mathematics | - | 1-May-1999 |
| bulletin (article) | Arai, A. | Infinite dimensional analysis and analytic number theory | - | Hokkaido University Preprint Series in Mathematics | - | 1-Feb-1999 |
| bulletin (article) | Arai, A. | Instability in the spectral and the Fredholm properties of an infinite dimensional Dirac operator on the abstract Boson-Fermion Fock space | - | Hokkaido University Preprint Series in Mathematics | - | 1-Dec-2000 |
| bulletin (article) | Arai, A. | A new estimate for the ground state energy of Schrdinger operators | - | Hokkaido University Preprint Series in Mathematics | - | 1-May-1997 |
| bulletin (article) | Arai, A. | Non-relativistic limit of a Dirac-Maxwell operator in relativistic quantum electrodynamics | - | Hokkaido University Preprint Series in Mathematics | - | Dec-2001 |
| bulletin (article) | Arai, A. | On self-adjointness of Dirac operators in Boson-Fermion Fock spaces | - | Hokkaido University Preprint Series in Mathematics | - | Aug-1993 |
| bulletin (article) | Arai, A.; Hirokawa, M.; Hiroshima, F. | On the absence of eigenvectors of Hamiltonians in a class of massless quantum field models without infrared cutoff | - | Hokkaido University Preprint Series in Mathematics | - | 1-Dec-1998 |
| bulletin (article) | Arai, A. | On the essential spectra of quantum field Hamiltonians | - | Hokkaido University Preprint Series in Mathematics | - | 1-Sep-1998 |
