Type | Author(s) | Title | Other Titles | Citation | Citation(alt) | Issue Date |
article (author version) | Arai, Asao | Singular Bogoliubov transformations and inequivalent representations of canonical commutation relations | - | Reviews in Mathematical Physics | - | Sep-2019 |
bulletin (article) | Arai, Asao | Inequivalent Representation of Canonical Commutation Relations in Relation to Casimir Effect | - | Hokkaido University Preprint Series in Mathematics | - | 23-Oct-2018 |
article (author version) | 新井, 朝雄 | 存在認識と数学 | Mathematics in Cognition of Existence | 龍谷哲学論集 | - | 2018 |
article (author version) | Arai, Asao; Hiroshima, Fumio | Ultra-Weak Time Operators of Schrodinger Operators | - | Annales Henri Poincaré | - | Sep-2017 |
article | 新井, 朝雄 | 量子場の数理解析 : 歴史的概観と新しい漸近的摂動論 | - | 数学 | - | 25-Jul-2017 |
bookchapter (author version) | Arai, Asao | Inequivalence of quantum Dirac fields of different masses and the underlying general structures involved | - | - | - | May-2017 |
article (author version) | Arai, Asao | A family of inequivalent Weyl representations of canonical commutation relations with applications to quantum field theory | - | Reviews in Mathematical Physics | - | May-2016 |
article (author version) | Arai, Asao | A New Asymptotic Perturbation Theory with Applications to Models of Massless Quantum Fields | - | Annales Henri Poincare | - | 1-Jun-2014 |
article (author version) | ARAI, ASAO | FUNCTIONAL INTEGRAL REPRESENTATIONS AND GOLDEN–THOMPSON INEQUALITIES IN BOSON–FERMION SYSTEMS | - | Reviews in Mathematical Physics | - | 19-Sep-2013 |
article | Arai, Asao; Dagva, Dayantsolmon | A Class of d-Dimensional Dirac Operators with a Variable Mass | - | ISRN Mathematical Analysis | - | 19-Jun-2013 |
article (author version) | Arai, Asao | Asymptotic analysis of the Fourier transform of a probability measure with application to the quantum Zeno effect | - | Journal of Mathematical Analysis and Applications | - | 2013 |
article | Arai, Asao | Hilbert Space Representations of Generalized Canonical Commutation Relations | - | Journal of Mathematics | - | 2013 |
article (author version) | Arai, Asao; Fuda, Toru | Some Mathematical Aspects of Quantum Zeno Effect | - | Letters in Mathematical Physics | - | Jun-2012 |
article (author version) | Arai, Asao | Heisenberg operators of a Dirac particle interacting with the quantum radiation field | - | Journal of Mathematical Analysis and Applications | - | 15-Oct-2011 |
article (author version) | Arai, Asao | Spectral Analysis of an Effective Hamiltonian in Nonrelativistic Quantum Electrodynamics | - | Annales Henri Poincaré | - | 11-Jan-2011 |
article (author version) | Arai, Asao | Strong Time Operators in Algebraic Quantum Mechanics and Quantum Field Theory | - | RIMS Kokyuroku Bessatsu | 京都大学数理解析研究所講究録別冊 | Apr-2010 |
article (author version) | Arai, Asao | Necessary and Sufficient Conditions for a Hamiltonian with Discrete Eigenvalues to have Time Operators | - | Letters in Mathematical Physics | - | Feb-2009 |
article (author version) | Arai, Asao; Matsuzawa, Yasumichi | Time Operators of a Hamiltonian with Purely Discrete Spectrum | - | Reviews in Mathematical Physics | - | Sep-2008 |
article (author version) | Arai, Asao | On the Uniqueness of Weak Weyl Representations of the Canonical Commutation Relation | - | Letters in Mathematical Physics | - | Jul-2008 |
article (author version) | Arai, Asao | A class of Hilbert space representations of the quantum plane and the quantum algebra Uq(sl2) | A class of Hilbert space representations of the quantum plane and the quantum algebra $U_q(sl_2)$ | Reports on Mathematical Physics | - | Apr-2008 |