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Spectral theory of Dirac operators with potentials diverging at infinity

Sūgaku expositions, 2020-06, Vol.33 (1), p.111-133

2020

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Explicit uniform bounds on integrals of Bessel functions and trace theorems for Fourier transforms

Mathematische Nachrichten, 2019-01, Vol.292 (1), p.106-120

2019

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Relativistic Hamiltonians with dilation analytic potentials diverging at infinity

Journal of the Mathematical Society of Japan, 2011, Vol.63 (4), p.1311-1357

2011

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Erratum for “The Dirac Operator with Mass $m_0 \geq 0$: Non-Existence of Zero Modes and of Threshold Eigenvalues”

Documenta mathematica Journal der Deutschen Mathematiker-Vereinigung., 2019, Vol.24, p.1361-1363

2019

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On the spectra of Dirac operators: Mainly with potentials diverging at infinity

SUGAKU, 2016/10/25, Vol.68(4), pp.381-402

2016

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A spectral approach to the Dirac equation in the non-extreme Kerr–Newmann metric

Journal of physics. A, Mathematical and theoretical, 2009-07, Vol.42 (29), p.295204-295204 (15)

2009

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Spectral analysis of radial Dirac operators in the Kerr-Newman metric and its applications to time-periodic solutions

Journal of mathematical physics, 2006-10, Vol.47 (10), p.1

2006

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The Dirac operator with mass $m_0 \ge 0$: non-existence of zero modes and of threshold eigenvalues

Documenta mathematica Journal der Deutschen Mathematiker-Vereinigung., 2015, Vol.20, p.37-64

2015

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A note on the nonrelativistic limit of Dirac operators and spectral concentration

Proceedings of the Japan Academy. Series A. Mathematical sciences, 2005-12, Vol.81 (10), p.157-161

2005

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Spectral analysis of radial Dirac operatorsin the Kerr-Newman metric and its applicationsto time-periodic solutions

Journal of mathematical physics, 2006-10, Vol.47 (10), p.102503-102503-17

2006

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ディラック作用素のスペクトルについて: ポテンシャルが遠方で発散する場合を中心に

数学, 2016/10/25, Vol.68(4), pp.381-402

2016

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Note on the Paper “Strong Unique Continuation Property for the Dirac Equation” by De Carli and Ōkaji

Publications of the Research Institute for Mathematical Sciences, 1999, Vol.35 (6), p.847-852

1999

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Spherically Symmetric Dirac Operators with Variable Mass and Potentials Infinite at Infinity

Publications of the Research Institute for Mathematical Sciences, 1998, Vol.34 (3), p.211-227

1998

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A remark on the limiting absorption method for Dirac operators

Proceedings of the Japan Academy. Series A. Mathematical sciences, 1993, Vol.69 (7), p.243-246

YAMADA, O

1993

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Essential self-adjointness of n-dimensional Dirac operators with a variable mass term

Journal of mathematical physics, 2001-06, Vol.42 (6), p.2667-2676

2001

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Eigenfunction Expansions and Scattering Theory for Dirac Operators

Publications of the Research Institute for Mathematical Sciences, 1976, Vol.11 (3), p.651-689

Yamada, Osanobu

1976

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On the spectrum of Dirac operators with the unbounded potential at infinity

Hokkaido mathematical journal, 1997-02, Vol.26 (2)

YAMADA, Osanobu

1997

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On the Principle of Limiting Absorption for the Dirac Operator

Publications of the Research Institute for Mathematical Sciences, 1972, Vol.8 (3), p.557-577

Yamada, Osanobu

1972

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On Non-real Eigenvalues of Schrödinger Operators in a Weighted Hilbert Space

Publications of the Research Institute for Mathematical Sciences, 1994, Vol.30 (1), p.1-14

1994

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Absence of eigenvalues of Dirac operators with potentials diverging at in-finity

Mathematische Nachrichten, 2003-10, Vol.259 (1), p.19-41

2003

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The nonrelativistic limit of modified wave operators for Dirac operators

Proceedings of the Japan Academy. Series A. Mathematical sciences, 1983, Vol.59 (3), p.71-74

YAMADA, O

1983

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Sharp Estimates of Lower Bounds of Polynomial Decay Order of Eigenfunctions

Publications of the Research Institute for Mathematical Sciences, 1990, Vol.26 (3), p.419-449

1990

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Essential Self-Adjointness and Invariance of the Essential Spectrum for Dirac Operators

Publications of the Research Institute for Mathematical Sciences, 1982, Vol.18 (3), p.973-985

1982

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Strong unique continuation property of two-dimensional Dirac equations with Aharonov-Bohm fields

Proceedings of the Japan Academy. Series A. Mathematical sciences, 2003-11, Vol.79 (9), p.158-161

2003

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Essential self-adjointness of Dirac operators with a variable mass term

Proceedings of the Japan Academy. Series A. Mathematical sciences, 2000-02, Vol.76 (2), p.13-15

2000

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Spectral theory of Dirac operators with potentials diverging at infinity

Explicit uniform bounds on integrals of Bessel functions and trace theorems for Fourier transforms

Relativistic Hamiltonians with dilation analytic potentials diverging at infinity

Erratum for “The Dirac Operator with Mass $m_0 \geq 0$: Non-Existence of Zero Modes and of Threshold Eigenvalues”

On the spectra of Dirac operators: Mainly with potentials diverging at infinity

A spectral approach to the Dirac equation in the non-extreme Kerr–Newmann metric

Spectral analysis of radial Dirac operators in the Kerr-Newman metric and its applications to time-periodic solutions

The Dirac operator with mass $m_0 \ge 0$: non-existence of zero modes and of threshold eigenvalues

A note on the nonrelativistic limit of Dirac operators and spectral concentration

Spectral analysis of radial Dirac operatorsin the Kerr-Newman metric and its applicationsto time-periodic solutions

ディラック作用素のスペクトルについて: ポテンシャルが遠方で発散する場合を中心に

Note on the Paper “Strong Unique Continuation Property for the Dirac Equation” by De Carli and Ōkaji

Spherically Symmetric Dirac Operators with Variable Mass and Potentials Infinite at Infinity

A remark on the limiting absorption method for Dirac operators

Essential self-adjointness of n-dimensional Dirac operators with a variable mass term

Eigenfunction Expansions and Scattering Theory for Dirac Operators

On the spectrum of Dirac operators with the unbounded potential at infinity

On the Principle of Limiting Absorption for the Dirac Operator

On Non-real Eigenvalues of Schrödinger Operators in a Weighted Hilbert Space

Absence of eigenvalues of Dirac operators with potentials diverging at in-finity

The nonrelativistic limit of modified wave operators for Dirac operators

Sharp Estimates of Lower Bounds of Polynomial Decay Order of Eigenfunctions

Essential Self-Adjointness and Invariance of the Essential Spectrum for Dirac Operators

Strong unique continuation property of two-dimensional Dirac equations with Aharonov-Bohm fields

Essential self-adjointness of Dirac operators with a variable mass term

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