Faculty of International Social Sciences

Kenji Yajima

(谷島賢二)

Profile Information

Affiliation: Faculty of Science, Department of Mathematics, Gakushuin University

Degree: 理学博士(東京大学)

J-GLOBAL ID: 200901087977577884
researchmap Member ID: 5000100179

Research Areas

1

Natural sciences / Mathematical analysis /

Research History

7

Apr, 2019 - Present

visiting reseacher, Faculty of Science, Department of Mathematics, Gakushuin University
Oct, 2003 - Mar, 2019

Professor, Faculty of Science, Department of Mathematics, Gakushuin University
Apr, 1992 - Sep, 2003

Graduate School of Mathematical Sciences, The University of Tokyo
Apr, 1990 - Mar, 1992

College of Arts and Sciences, The University of Tokyo
Sep, 1982 - Mar, 1990

College of Arts and Sciences, The University of Tokyo

Education

2

- 1974

The University of Tokyo
- Mar, 1971

Faculty of Science, The University of Tokyo

Awards

1

Sep, 2009

日本数学会賞秋季賞, 日本数学会

谷島賢二

Papers

30

Unitary propagators for N-body Schrödinger equations in external field

Kenji Yajima

Reviews in Mathematical Physics, 33(01) 2060002-2060002, Feb, 2021 Peer-reviewedInvitedLead author

We report our recent results on the existence and uniqueness of unitary propagators for [Formula: see text]-particle Schrödinger equations which may be applied to most interesting problems in physics.
L^p-Boundedness of Wave Operators for 2D Schrödinger Operators with Point Interactions

Kenji Yajima

Annales Henri Poincaré, 22(1) 2065-2101, Jan, 2021 Peer-reviewedLead author
A solvable model of the breakdown of the adiabatic approximation

A. Galtbayar, A. Jensen, K. Yajima

Journal of Mathematical Physics, 61(9) 092105-092105, Sep 1, 2020 Peer-reviewed
Erratum Two-dimensional Schr¨odinger operators with point interactions: Threshold expansions, zero modes and Lp-boundedness of wave operators

Horia Cornean, Alessandro Michelangeli, Kenji Yajima

Reviews in Mathematical Physics, 32(4) 2092001-1-2092001-5, Apr, 2020 Peer-reviewedLast author
On the approximation by regular potentials of Schrodinger operators with point interactions

YAJIMA Kenji, Galtbayar Artbazar

Journal of Korean Mathematical Society Journal of Korean Mathematical Society, 57(2) 429-450, Feb, 2020 Peer-reviewedLast author

Misc.

9

$L^{p}$-boundedness of wave operators, Revisited (Spectral and Scattering Theory and Related Topics)

Yajima Kenji

RIMS Kokyuroku, 1975 86-105, Nov, 2015
Resolvent Estimates in Amalgam Spaces and Asymptotic Expansions for Schrodinger Equations (Spectral and Scattering Theory and Related Topics)

GALTBAYAR ARTBAZAR, YAJIMA KENJI

RIMS Kokyuroku Bessatsu, 45 113-130, Apr, 2014
The $L^p$ boundedness of wave operators for Schrodinger operators(Spectral and Scattering Theory and Related Topics)

Yajima Kenji

RIMS Kokyuroku, 1563 1-13, Jun, 2007
Some recent results on Schrodinger equations with time-periodic potentials (Spectral and Scattering Theory and Related Topics)

Galtbayar A., Jensen A., Yajima Kenji

RIMS Kokyuroku, 1364 81-88, Apr, 2004
The Nelson Model with Few Photons (Spectral and Scattering Theory and Related Topics)

Artbazar Galtbayar, Jensen Arne

RIMS Kokyuroku, 1255 124-142, Apr, 2002

Books and Other Publications

7

Introduction to Mathematical Physics Revised Retitled

YAJIMA Kenji

University of Tokyo Press, Dec, 2018
シュレーディンガー方程式

谷島賢二

朝倉書店, Nov, 2014
応用解析ハンドブック

谷島賢二

シュプリンガー・ジャパン, Feb, 2010
On time dependent Schroedinger equations, Dispersive Nonlinear Problems in Mathematical Physics ( ed. P. D’Ancona, V. Georgev)

YAJIMA Kenji

Quaderni di Matematica 15巻, Dipartmento di Matematica, Seconda Universita di Napoli, 2005
Time periodic Schroedinger equations, Topics in the theory of Schroedinger operators (ed. H. Araki, H. Ezawa)

YAJIMA Kenji

World Scientific, 2004

Presentations

47

２次元Schr¨odinger作用素の波動作用素の $L^p$-有界性

谷島賢二

研究集会「量子場の数理とその周辺」（ズーム開催）, Mar 10, 2021 Invited
$L^p$-boundedness of wave operators for two dimensional Schroedinger operators with point interactions

Kenji Yajima

Jan 9, 2020 Invited
Unitary propagator for N-particle Schroedinger equations in external fields. Existence, uniqueness and regularity

Kenji Yajima

QMath14, Aarhus Universitet, Aug 16, 2019 Invited
Approximation of wave operators for point interactions by regular potentials.

Kenji Yajima

MIttag-Leffler-Workshop on Spectral theory, Feb 15, 2019 Invited
Schroedinger operators with point interactions in two and three dimensions

Kenji Yajima

Waseda Applied Analysis Seminar, Jul 21, 2018 Invited

Professional Memberships

3

Research Projects

15

Mathematical Analysis of Schroedinger equations

Grants-in-Aid for Scientific Research, Japan Society for the Promotion of Science, Apr, 2019 - Mar, 2023
Mathematical Analysis of Schroedinger equations

Grants-in-Aid for Scientific Research, Japan Society for the Promotion of Science, Apr, 2016 - Mar, 2019

Yajima Kenji, Tamura Hideo, Adachi Tadayoshi, Ogawa Takayoshi, Kato Keiichi, Nakamura Shu, Arne Jensen, Horia Cornean, Gianfausto Dellantonio, Alessandro Michelangeli, Raffaele Scandone, Heinz Siedentop, Marcel Griesemer, Abraham Soffer
Aharonov-Bohm effect in resonances for magnetic scattering

Grants-in-Aid for Scientific Research, Japan Society for the Promotion of Science, Apr, 2013 - Mar, 2016

TAMURA Hideo, KAKEHI Tomoyuki, IWATSUKA Akira, ICHINOSE Takashi, MINE Takuya, FUJIIE Seturo, YAJIMA Kenji, NAKAMURA Shu
Mathematical Analysis of Quantum Physics

Grants-in-Aid for Scientific Research, Japan Society for the Promotion of Science, Apr, 2010 - Mar, 2015

YAJIMA Kenji
Spectral and scattering theory of Schroedinger equations

Grants-in-Aid for Scientific Research, Japan Society for the Promotion of Science, Apr, 2009 - Mar, 2014

NAKAMURA Shu, ADACHI Tadayoshi, NAKANO Fumihiko, FUJIIE Setsuro, TAMURA Hideo, YAJIMA Kenji, ISOZAKI Hiroshi, IWATSUKA Akira, MINAMI Nariyuki, UEKI Naomasa, NOMURA Yuji, DOI Shin-ichi, TATE Tatsuya, MINE Takuya, ITO Kenichi

Media Coverage

1

Reviews in Mathematical Physics 編集員

1995

Other

2

Topics in Schroedinger equations

May, 2007 - May, 2007

大学院集中講義
Topics in Schroedinger equations

Mar, 2007 - Mar, 2007

大学院講義(2007/3-2007/5)

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