Another operator-theoretical proof for the second-order phase transition in the BCS-Bogoliubov model of superconductivity, Shuji Watanabe, 19 May 2022, Scientific Reports, 12, 1, 8393 (14 pp.), 8393 (14 pp.), Scientific journal
Book review of ''Advanced Quantum Condensed Matter Physics'', Shuji Watanabe, 2022, zbMATH
An operator-theoretical study on the BCS-Bogoliubov model of superconductivity near absolute zero temperature, Shuji Watanabe, 05 Aug. 2021, Scientific Reports, 11, 15983, 15983, Scientific journal
An operator-theoretical study of the specific heat and the critical magnetic field in the BCS-Bogoliubov model of superconductivity., Shuji Watanabe, 18 Jun. 2020, Scientific reports, 10, 1, Scientific journal
An operator-theoretical proof for the second-order phase transition in the BCS-Bogoliubov model of superconductivity, Shuji Watanabe, Feb. 2020, Kyushu Journal of Mathematics, 74, 1, 177, 196, Scientific journal
Book review of ''Physics of heavy fermions. Heavy fermions and strongly correlated electrons systems'', Shuji Watanabe, Jan. 2020, zbMATH
The second-order phase transition in the BCS-Bogoliubov model of superconductivity and its operator-theoretical proof, Shuji Watanabe, Aug. 2018, RIMS Kokyuroku, 2089, 166, 176
Smoothness and Monotone Decreasingness of the Solution to the BCS-Bogoliubov Gap Equation for Superconductivity, Shuji Watanabe,Ken Kuriyama, 2017, Journal of Basic and Applied Sciences, 13, 17, 25, Scientific journal
Spontaneous chiral symmetry breaking in QED and the Maskawa-Nakajima equation, 渡辺 秀司, Jan. 2016, 1980, 28, 36
Hardy inequalities for functions vanishing at negligible sets and its applications, Sobajima, Motohiro;Watanabe, Shuji, 2016, APPLICABLE ANALYSIS, 95, 1, 203, 208, Scientific journal
An operator-theoretical treatment of the Maskawa-Nakajima equation in the massless abelian gluon model, Shuji Watanabe, Oct. 2014, JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 418, 2, 874, 883, Scientific journal
Fixed Point Theorems and the BCS Gap Equation for Superconductivity (Mathematical aspects of quantum fields and related topics), Watanabe Shuji, Oct. 2014, RIMS Kokyuroku, 1921, 84, 90
Applications of fixed point theorems to the BCS gap equation for superconductivity, Shuji Watanabe, 2014, Banach and Function Spaces IV, IV, 425, 433, Scientific journal
Fixed point theorems and the BCS gap equation for superconductivity, Shuji Watanabe, 2014, RIMS Kokyuroku, 1921, 84, 90
The solution to the BCS gap equation and the second-order phase transition in superconductivity (vol 383, pg 353, 2011), Shuji Watanabe, Sep. 2013, JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 405, 2, 742, 745, Scientific journal
The Solution to the BCS Gap Equation for Superconductivity and Its Temperature Dependence, Shuji Watanabe, 2013, ABSTRACT AND APPLIED ANALYSIS, 932085, Scientific journal
Temperature Dependence of the Solution to the BCS Gap Equation (Applications of the Renormalization Group Methods in Mathematical Sciences), Watanabe Shuji, Aug. 2012, RIMS Kokyuroku, 1805, 1, 9
Temperature dependence of the solution to the BCS gap equation, Shuji Watanabe, 2012, RIMS Kokyuroku, 1805, 1, 9
The solution to the BCS gap equation and the second-order phase transition in superconductivity, Shuji Watanabe, 2011, JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 383, 2, 353, 364, Scientific journal
A mathematical proof that the transition to a superconducting state is a second-order phase transition, Shuji Watanabe, 2009, Far East Journal of Mathematical Sciences, 34, 1, 37, 57, Scientific journal
Fourier type analysis originating from quantum mechanics, Yoshio Ohnuki,Shuji Watanabe, 2009, International Journal of Mathematical Sciences, 8, 1-2, 1, 30, Scientific journal
The Gap Equation in the BCS-Bogoliubov Theory of Superconductivity from the Viewpoint of an Integral Transform (Applications of Reproducing Kernels), Watanabe Shuji, Dec. 2008, RIMS Kokyuroku, 1618, 142, 151
Mathematical analysis of the BCS-Bogoliubov theory (Applications of renormalization group methods in mathematical sciences), Watanabe Shuji, May 2008, RIMS Kokyuroku, 1600, 92, 103
The gap equation in the BCS-Bogoliubov theory of superconductivity from the viewpoint of an integral transform, Shuji Watanabe, 2008, RIMS Kokyuroku, 1618, 142, 151
Mathematical Analysis of the BCS-Bogoliubov Theory, Shuji Watanabe, 2008, RIMS Kokyuroku, 1600, 92, 103
Superconductivity and the BCS-Bogoliubov theory, Shuji Watanabe, 2008, JP Journal of Algebra, Number Theory and Applications, 11, 137, 158, Scientific journal
Smoothness of the gap function in the BCS-Bogoliubovtheory of superconductivity, Shuji Watanabe, 2008, Far East Journal of Mathematical Sciences, 31, 2, 181, 200, Scientific journal
BCS状態より低いエネルギーをもつ超伝導状態, 渡辺秀司, Sep. 2007
Fourier type analysis and applications to quantum mechanics, WATANABE SHUJI, Sep. 2007, Internat. J. Applied Math. Statistics, A special issue on Functional Equations, Integral Equations, Differential Equations and Applications, 10, S07
BCS状態より低いエネルギーをもつ超伝導状態, 渡辺秀司, 2007, 74, 75
Fourier type analysis and quantum mechanics, WATANABE SHUJI, 2007, Proceedings of the 5th International ISAAC Congress, World Scientific Publishing Company
Fourier type analysis and applications to quantum mechanics, WATANABE SHUJI, 2007, Internat. J. Applied Math. Statistics, A special issue on Functional Equations, Integral Equations, Differential Equations and Applications, 10, S07, 116, 131
An embedding theorem of Sobolev type and its applications, Yoshio Ohnuki,Shuji Watanabe, 2007, Far East Journal of Mathematical Sciences, 26, 1, 25, 53
超伝導とBCS理論の数理, 渡辺 秀司, 2007, 6, 7
Fourier type analysis and quantum mechanics, WATANABE SHUJI, 2007, Proceedings of the 5th International ISAAC Congress, World Scientific Publishing Company
量子力学における点変換,S1上の量子力学,およびフーリエ型の変換 (力学系と微分幾何学 RIMS研究集会報告集), 大貫 義郎;渡辺 秀司, Jul. 2006, 1500, 146, 156
量子力学における点変換、S^1上の量子力学、およびフーリエ型の変換, 大貫義郎,渡辺 秀司, 2006, 1500, 146, 156
Integral transforms, commutation relations in quantum mechanics and applications, WATANABE SHUJI, Feb. 2005, A special issue of Analysis in Theory and Applications
The dilatation operator in quantum mechanics and its applications, Yoshio Ohnuki,Shuji Watanabe, Dec. 2004, Far East J. Math. Sci., 15, 3
An embedding theorem of Sobolev type, S Watanabe, Aug. 2004, INTEGRAL TRANSFORMS AND SPECIAL FUNCTIONS, 15, 4, 369, 374, Scientific journal
An embedding theorem of Sobolev type, WATANABE SHUJI, Aug. 2004, Integral Transforms and Special Functions, vol. 15
新たなフーリエ解析をめざして, 渡辺 秀司, Jan. 2004, 1352
The dilatation operator in quantum mechanics and its applications, Yoshio Ohnuki,Shuji Watanabe, 2004, Far East J. Math. Sci., 15, 3, 353, 367
新たなフーリエ解析をめざして, 渡辺 秀司, 2004, 1352, 95, 105
An example of a point transformation in quantum mechanics, WATANABE SHUJI, 2004, Bulletin Aichi Univ. Tech., vol. 1, 107, 110
An integral transform and its applications, S Watanabe, Dec. 2003, INTEGRAL TRANSFORMS AND SPECIAL FUNCTIONS, 14, 6, 537, 549, Scientific journal
An integral transform and its applications, WATANABE SHUJI, Dec. 2003, Integral Transforms and Special Functions, vol. 14
Characterization of point transformations in quantum mechanics, Yoshio Ohnuki,WATANABE SHUJI, Nov. 2003, Journal of Analysis and Applications, vol. 1
Quantum mechanics on S^1 based on Dirac formalism, WATANABE SHUJI, Jan. 2003, Applicable Analysis, vol. 82
Quantum mechanics on S^1 based on Dirac formalism, WATANABE SHUJI, 2003, Applicable Analysis, vol. 82, 25, 34
Characterization of point transformations in quantum mechanics, Yoshio Ohnuki,WATANABE SHUJI, 2003, Journal of Analysis and Applications, vol. 1, 193, 205
A space of Sobolev type for an operator with singularity, WATANABE SHUJI, 2003, International Journal of Mathematical Sciences, vol. 2, 53, 66
A generalized Fourier transform and its applications, S Watanabe, 2002, INTEGRAL TRANSFORMS AND SPECIAL FUNCTIONS, 13, 4, 321, 344, Scientific journal
Applications of a generalized Fourier transform to a partial differential equation, WATANABE SHUJI, 2002, Far East Journal of Mathematical Sciences, 7, 165, 174
The motion of a quantum mechanical particle under the inverse square potential, WATANABE SHUJI, 2002, Applicable Analysis, 81, 607, 613
The explicit solutions to the time-dependent Schrodinger equations with the singular potentials k/2x(2) and k/2x(2)+w(2)x(2)/2, S Watanabe, 2001, COMMUNICATIONS IN PARTIAL DIFFERENTIAL EQUATIONS, 26, 3-4, 571, 593, Scientific journal
The explicit solution of a diffusion equation with singularity, Michiaki Watanabe,WATANABE SHUJI, Jul. 1998, Proceedings of the American Mathematical Society, vol. 126, 383-389
Sobolev type theorems for an operator with singularity, WATANABE SHUJI, Mar. 1997, Proceedings of the American Mathematical Society, vol. 125, 129-136
An embedding theorem of Sobolev type for an operator with singularity, WATANABE SHUJI, 1997, Proceedings of the American Mathematical Society, vol. 125, 839-848
SELF-ADJOINTNESS OF THE OPERATORS IN WIGNER COMMUTATION RELATIONS, Y OHNUKI,S WATANABE, Nov. 1992, JOURNAL OF MATHEMATICAL PHYSICS, 33, 11, 3653, 3655, Scientific journal
Self-adjointness of the momentum operator with a singular term, Michiaki Watanabe,WATANABE SHUJI, Oct. 1989, Proceedings of the American Mathematical Society, vol. 107, 999-1004
A harmonic oscillator system with the generalized commutation relations, WATANABE SHUJI, May 1989, Journal of Mathematical Physics, vol. 30, 376-379
Self-adjointness of the Bose-like oscillator Hamiltonian, WATANABE SHUJI, Aug. 1988, Progress of Theoretical Physics, vol. 80, 947-952
A measure of CP nonconservation, WATANABE SHUJI, May 1987, Progress of Theoretical Physics, vol. 78, 752-754
Extra U(1) phenomenology from the E8 X E8 superstring theory, WATANABE SHUJI, Oct. 1986, Progress of Theoretical Physics, vol. 76, 915-927
Monojets and Production of a new heavy particle, WATANABE SHUJI, Jun. 1986, Progress of Theoretical Physics, vol. 75, 656-663
The solution to the BCS gap equation and the second-order phase transition in superconductivity (vol 383, pg 353, 2011), Watanabe, Shuji, 2013, JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 405, 2, 742, 745
The Solution to the BCS Gap Equation for Superconductivity and Its Temperature Dependence, Watanabe, Shuji, 2013, ABSTRACT AND APPLIED ANALYSIS
Temperature Dependence of the Solution to the BCS Gap Equation (Applications of the Renormalization Group Methods in Mathematical Sciences), Watanabe, Shuji, Aug. 2012, 1805, 1, 10
Fixed Point Theorems and the BCS Gap Equation for Superconductivity (Mathematical aspects of quantum fields and related topics), Watanabe, Shuji, Oct. 2014, 1921, 84, 90
The second-order phase transition in the BCS-Bogoliubov model of superconductivity and its operator-theoretical proof (Mathematical Aspects of Quantum Fields and Related Topics), Watanabe, Shuji, Aug. 2018, RIMS Kokyuroku, 2089, 166, 176
The BCS-Bogoliubov Model of Superconductivity with External Magnetic Field, Shuji Watanabe, 3rd International Meet on Condensed Matter Physics (CMPMEET2024), 14 May 2024, 14 May 2024, 14 May 2024, English, Webinar, International conference
外部磁場のあるときの超伝導のBCS理論におけるBogoliubov変換とギャップ方程式, 渡辺秀司, 日本数学会関数解析学分科会, 17 Mar. 2024, 17 Mar. 2024, 20 Mar. 2024, Japanese, Japan
外部磁場付きのBCS理論におけるGap方程式の導出と1次相転移の証明, 渡辺秀司, 大阪公立大学大学院理学研究科物性理論研究室でのセミナー, 06 Nov. 2023
The existence, uniqueness and smoothness of the solution to the BCS-Bogoliubov gap equation in superconductivity, Shuji Watanabe, 2nd International Meet on Condensed Matter Physics 2023 (CMPMEET2023), 05 Jun. 2023, English, Online
超伝導のBCSギャップ方程式の新たな作用素論的扱いと2次相転移への応用, 渡辺秀司, 日本数学会 関数解析分科会, 15 Mar. 2023, 15 Mar. 2023, 18 Mar. 2023, Japanese, Japan
The second-order phase transition in the BCS-Bogoliubov model of superconductivity and its operator-theoretical proof, Shuji Watanabe, International Meet on Condensed Matter Physics 2022 (CMPMEET2022), 25 May 2022, 23 May 2022, 26 May 2022, English, Munich, Germany, International conference
超伝導のBCS-Bogoliubovモデルにおける絶対零度近傍での臨界磁場の作用素論的研究, 渡辺秀司, 日本数学会 関数解析学分科会, 14 Sep. 2021
超伝導の BCS-Bogoliubov モデルにおける超伝導体の臨界磁場の作用素論的研究, 渡辺秀司, 日本数学会 関数解析学分科会, 16 Mar. 2021, Japan
An operator-theoretical proof for the second-order phase transition in superconductivity, Shuji Watanabe, Operator Theory 2020, 19 Dec. 2020, 19 Dec. 2020, 19 Dec. 2020, English, Online Workshop, International conference
超伝導のBCS-Bogoliubovモデルにおける超伝導体の比熱の作用素論的研究, 渡辺秀司, 日本数学会 関数解析学分科会, 22 Sep. 2020, 22 Sep. 2020, 25 Sep. 2020, Japanese
超伝導の BCS-Bogoliubov モデルにおける2次相転移とその作用素論的証明 III, 渡辺秀司, 日本数学会 関数解析分科会, 17 Sep. 2019
超伝導の BCS-Bogoliubov モデルにおける2次相転移とその作用素論的証明 II, 渡辺秀司, 日本数学会 関数解析学分科会, 17 Mar. 2019
超伝導の BCS-Bogoliubov モデルにおける2次相転移とその作用素論的証明, 渡辺秀司, 日本数学会, 2018
The second-order phase transition in the BCS-Bogoliubov model ofsuperconductivity and its operator-theoretical proof, RIMS Conference: Mathematical Aspects of Quantum Fields and Related Topics, 2017
The Second-Order Phase Transition in the BCS-Bogoliubov Model of Superconductivity, Nano Science & Technology-2017, 2017
The second-order phase transition in the BCS-Bogoliubov model ofsuperconductivity and its operator-theoretical proof, RIMS Conference: Mathematical Aspects of Quantum Fields and Related Topics, 2017
The Second-Order Phase Transition in the BCS-Bogoliubov Model of Superconductivity, Nano Science & Technology-2017, 2017
The solution to the BCS-Bogoliubov gap equation for superconductivity and its temperature dependence, EMN (Energy, Materials and Nanotechnology) Meeting, Invited Talk, 2016
The solution to the BCS-Bogoliubov gap equation for superconductivity and its temperature dependence, EMN (Energy, Materials and Nanotechnology) Meeting, Invited Talk, 2016
量子電磁力学におけるカイラル対称性の自発的破れと Maskawa-Nakajima 方程式, 京都大学数理解析研究所研究集会「再生核の応用についての総合的な研究」, 2015
超伝導におけるBCSギャップ方程式の解の温度依存性 II, 数理物理学セミナー, 2014
超伝導におけるBCSギャップ方程式の解の温度依存性, 数理物理学セミナー, 2014
A generalized Fourier transform and the Schroedinger operator with the inverse square potential, Kagurazaka Seminar, Tokyo University of Science, 2013
Temperature dependence of the solution to the BCS gap equation for superconductivity and fixed point theorems, QMath12 (Mathematical Results in Quantum Mechanics), 2013
Fixed point theorems and the BCS gap equation for superconductivity, RIMS Workshop ``Mathematical Aspects of Quantum Fields and Related Topics'', 2013
A generalized Fourier transform and the Schroedinger operator with the inverse square potential, Kagurazaka Seminar, Tokyo University of Science, 2013
Temperature dependence of the solution to the BCS gap equation for superconductivity and fixed point theorems, QMath12 (Mathematical Results in Quantum Mechanics), 2013
Fixed point theorems and the BCS gap equation for superconductivity, RIMS Workshop ``Mathematical Aspects of Quantum Fields and Related Topics'', 2013
Temperature dependence of the solution to the BCS gap equation forsuperconductivity, XVII th International Congress on Mathematical Physics, 2012
Applications of fixed point theorems to the BCS gap equation for superconductivity, The Fourth International Symposium on Banach and Function Spaces 2012, 2012
カイラル対称性の自発的破れへの不動点定理の応用, 千葉大学素粒子論研究室コロキウム, 2012
Temperature dependence of the solution to the BCS gap equation forsuperconductivity, XVII th International Congress on Mathematical Physics, 2012
Applications of fixed point theorems to the BCS gap equation for superconductivity, The Fourth International Symposium on Banach and Function Spaces 2012, 2012
Temperature dependence of the solution to the BCS gap equation, International Symposium on Applications of the Renormalization Group Methods in Mathematical Sciences, 2011
超伝導におけるBCSギャップ方程式とその解の温度依存性, 数理物理学セミナー, 2011
Temperature dependence of the solution to the BCS gap equation, International Symposium on Applications of the Renormalization Group Methods in Mathematical Sciences, 2011
超伝導のBCSモデルにおける相転移の作用素論的扱い, 日本数学会, 2009
温度も考慮されたBanach空間における、超伝導のギャップ方程式, 日本数学会, 2009
超伝導におけるBCSモデルの数学的基礎付け, 連続講演会(2009年11月9日から10日まで), 2009
超伝導におけるギャップ方程式の解は微分可能か?, 日本数学会, 2008
超伝導における新たなギャップ方程式, 日本数学会 関数解析学分科会, 2008
超伝導におけるギャップ方程式と積分変換, 京都大学数理解析研究所研究集会, 2008
超伝導とBCS理論の数理, 日本数学会 関数解析学分科会, 2007
Mathematical Analysis of the BCS-Bogoliubov Theory, Applications of Renormalization Group Methods in Mathematical Sciences, 2007
BCS状態より低いエネルギーをもつ超伝導状態, 日本数学会, 2007
Mathematical Analysis of the BCS-Bogoliubov Theory, Applications of Renormalization Group Methods in Mathematical Sciences, 2007
量子力学における点変換、S^1上の量子力学、およびフーリエ型の変換, 京都大学数理解析研究所研究集会「力学系と微分幾何学」, 2006
量子力学に由来する1つのFourier型解析II, 日本数学会, 2006
Quantum Mechanics and Fourier Type Analysis, the 3rd International Symposium ''Current Problems of Analysis and Mathematical Physics'', 2006
Quantum Mechanics and Fourier Type Analysis, the 3rd International Symposium ''Current Problems of Analysis and Mathematical Physics'', 2006
The dilatation operator in quantum mechanics, 日本数学会, 2005
量子力学に由来する1つのFourier型解析, 日本数学会, 2005
Fourier type analysis and quantum mechanics, the 5th International ISAAC Congress, 2005
Fourier type analysis and quantum mechanics, the 5th International ISAAC Congress, 2005
Integral transforms, commutation relations in quantum mechanics and applications, International Conference on Analysis and its Applications, 2004
An integral transform related to QM on S^1 and its applications I, 日本数学会, 2004
An integral transform related to QM on S^1 and its applications II, 日本数学会, 2004
The dilatation operator in quantum mechanics and Fourier type analysis, 第30回発展方程式研究会, 2004
Integral transforms, commutation relations in quantum mechanics and applications, International Conference on Analysis and its Applications, 2004
解析力学における点変換と量子力学における点変換, 筑波大学大学院数理物質科学研究科数学専攻解析セミナー, 2003
解析力学と量子力学における点変換II, 日本数学会, 2003
An integral transform related to an operator in quantum mechanics on S^1, 京都大学数理解析研究所研究集会「再生核の理論の応用」, 2003
解析力学と量子力学における点変換I, 日本数学会, 2003
A generalized Fourier transform and its applications to PDEs I, 日本数学会, 2002
A generalized Fourier transform and its applications to PDEs II, 日本数学会, 2002
解析力学での点変換と量子力学での点変換, 第28回発展方程式研究会, 2002
A generalized Fourier transform, the 3rd International ISAAC Congress, 2001
Applications of a generalized Fourier transform, 第27回発展方程式研究会, 2001
A generalized Fourier transform, the 3rd International ISAAC Congress, 2001