Asao Arai

1.0k total citations
67 papers, 597 citations indexed

About

Asao Arai is a scholar working on Atomic and Molecular Physics, and Optics, Mathematical Physics and Statistical and Nonlinear Physics. According to data from OpenAlex, Asao Arai has authored 67 papers receiving a total of 597 indexed citations (citations by other indexed papers that have themselves been cited), including 42 papers in Atomic and Molecular Physics, and Optics, 39 papers in Mathematical Physics and 27 papers in Statistical and Nonlinear Physics. Recurrent topics in Asao Arai's work include Spectral Theory in Mathematical Physics (32 papers), Quantum Mechanics and Non-Hermitian Physics (25 papers) and Quantum chaos and dynamical systems (18 papers). Asao Arai is often cited by papers focused on Spectral Theory in Mathematical Physics (32 papers), Quantum Mechanics and Non-Hermitian Physics (25 papers) and Quantum chaos and dynamical systems (18 papers). Asao Arai collaborates with scholars based in Japan, Germany and Switzerland. Asao Arai's co-authors include Masao Hirokawa, Itaru Mitoma, Makoto Oka, Shigehiro Yasui and Fumio Hiroshima and has published in prestigious journals such as Journal of Mathematical Analysis and Applications, Journal of Mathematical Physics and Progress of Theoretical Physics.

In The Last Decade

Asao Arai

55 papers receiving 544 citations

Peers

Asao Arai

AMPO

SNP

Fumio Hiroshima Japan

Dimitri Gioev United States

Thomas Chen United States

Alexander V. Sobolev United Kingdom

Masao Hirokawa Japan

Livio Pizzocchero Italy

Jacob Schach Møller Denmark

Ivan F. Wilde United Kingdom

A. I. Oksak Russia

D. A. Uhlenbrock United States

Fumio Hiroshima Japan

Asao Arai

262 ×0.7

AMPO

471 ×1.4

268 ×1.0

SNP

98 ×1.1

58 ×0.9

Citations per year, relative to Asao Arai Asao Arai (= 1×) peers Fumio Hiroshima

Countries citing papers authored by Asao Arai

Since Specialization

Citations

This map shows the geographic impact of Asao Arai's research. It shows the number of citations coming from papers published by authors working in each country. You can also color the map by specialization and compare the number of citations received by Asao Arai with the expected number of citations based on a country's size and research output (numbers larger than one mean the country cites Asao Arai more than expected).

Fields of papers citing papers by Asao Arai

Since Specialization

Physical SciencesHealth SciencesLife SciencesSocial Sciences

This network shows the impact of papers produced by Asao Arai. Nodes represent research fields, and links connect fields that are likely to share authors. Colored nodes show fields that tend to cite the papers produced by Asao Arai. The network helps show where Asao Arai may publish in the future.

Co-authorship network of co-authors of Asao Arai

This figure shows the co-authorship network connecting the top 25 collaborators of Asao Arai. A scholar is included among the top collaborators of Asao Arai based on the total number of citations received by their joint publications. Widths of edges represent the number of papers authors have co-authored together. Node borders signify the number of papers an author published with Asao Arai. Asao Arai is excluded from the visualization to improve readability, since they are connected to all nodes in the network.

All Works

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20 of 20 papers shown

Arai, Asao. (2020). Inequivalent Representations of Canonical Commutation and Anti-Commutation Relations. CERN Document Server (European Organization for Nuclear Research). 4 indexed citations

Arai, Asao. (2016). Analysis on Fock Spaces and Mathematical Theory of Quantum Fields. WORLD SCIENTIFIC eBooks. 11 indexed citations

Arai, Asao. (2011). Heisenberg operators of a Dirac particle interacting with the quantum radiation field. Journal of Mathematical Analysis and Applications. 382(2). 714–730. 1 indexed citations

Arai, Asao. (2007). HEISENBERG OPERATORS, INVARIANT DOMAINS AND HEISENBERG EQUATIONS OF MOTION. Reviews in Mathematical Physics. 19(10). 1045–1069. 2 indexed citations

Arai, Asao, Masao Hirokawa, & Fumio Hiroshima. (2007). REGULARITIES OF GROUND STATES OF QUANTUM FIELD MODELS. Kyushu Journal of Mathematics. 61(2). 321–372. 1 indexed citations

Arai, Asao. (2006). Non-relativistic Limit of a Dirac Polaron in Relativistic Quantum Electrodynamics. Letters in Mathematical Physics. 77(3). 283–290. 4 indexed citations

Arai, Asao. (2006). Mathematical Analysis of a Generalized Chiral Quark Soliton Model. Symmetry Integrability and Geometry Methods and Applications.

Arai, Asao, et al.. (2003). Enhanced Binding in a General Class of Quantum Field Models. Reviews in Mathematical Physics. 15(4). 387–423. 8 indexed citations

Arai, Asao. (1999). Fundamental properties of the Hamiltonian of a Dirac particle coupled to the quantized radiation field. EPrints - Department of Mathematics, Hokkaido University. 447. 1–62. 4 indexed citations

10.

Arai, Asao, Masao Hirokawa, & Fumio Hiroshima. (1999). On the Absence of Eigenvectors of Hamiltonians in a Class of Massless Quantum Field Models without Infrared Cutoff. Journal of Functional Analysis. 168(2). 470–497. 2 indexed citations

11.

Arai, Asao & Masao Hirokawa. (1997). On the Existence and Uniqueness of Ground States of a Generalized Spin-Boson Model. Journal of Functional Analysis. 151(2). 455–503. 81 indexed citations

12.

Arai, Asao. (1996). A class of representations of the *$B!>(Balgebra of the canonical commutation relations over a Hilbert space and instability of embedded eigenvalues in quantum field models. Preprint Series of Department of Mathematics, Hokkaido University. 367. 1–12.

13.

Arai, Asao & Masao Hirokawa. (1996). On the existence and uniqueness of ground states of a generalized spin$B!>(Bboson model. Preprint Series of Department of Mathematics, Hokkaido University. 366. 1–40. 1 indexed citations

14.

Arai, Asao. (1996). Canonical commutation relations, the Weierstrass Zeta function, and infinite dimensional Hilbert space representations of the quantum group U q(𝔰𝔩2). Journal of Mathematical Physics. 37(9). 4203–4218. 2 indexed citations

15.

Arai, Asao. (1993). Dirac operators in Boson-Fermion Fock spaces and supersymmetric quantum field theory. Journal of Geometry and Physics. 11(1-4). 465–490. 9 indexed citations

16.

Arai, Asao. (1992). Properties of the Dirac-Weyl operator with a strongly singular gauge potential. Hokkaido University Collection of Scholarly and Academic Papers (Hokkaido University). 160. 2–26. 2 indexed citations

17.

Arai, Asao, et al.. (1991). Meromorphic N=2 Wess-Zumino supersymmetric quantum mechanics. Hokkaido University Collection of Scholarly and Academic Papers (Hokkaido University). 1 indexed citations

18.

Arai, Asao. (1989). On the degeneracy in the ground state of the N=2 Wess–Zumino supersymmetric quantum mechanics. Hokkaido University Collection of Scholarly and Academic Papers (Hokkaido University). 1 indexed citations

19.

Arai, Asao. (1989). Spectral analysis of a quantum harmonic oscillator coupled to infinitely many scalar bosons. Journal of Mathematical Analysis and Applications. 140(1). 270–288. 1 indexed citations

20.

Arai, Asao. (1988). On dimensional reduction of functional measures. Journal of Functional Analysis. 77(2). 372–402. 1 indexed citations

Rankless uses publication and citation data sourced from OpenAlex, an open and comprehensive bibliographic database. While OpenAlex provides broad and valuable coverage of the global research landscape, it—like all bibliographic datasets—has inherent limitations. These include incomplete records, variations in author disambiguation, differences in journal indexing, and delays in data updates. As a result, some metrics and network relationships displayed in Rankless may not fully capture the entirety of a scholar's output or impact.

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