Specialities

Mathematical analysis

Speciality Keywords

Quantum statistical mechanics, Funcational analysis

Research Themes

Books

Papers

• 　Continuous extension of the discrete shift translations on one-dimensional quantum lattice systems　Hajime Moriya, Heide Narnhofer　Proc. Amer. Math. Soc. 　152　4479-4491　2024　
• 　Non-existence of spontaneous symmetry breakdown of time-translation symmetry on general quantum systems: Any macroscopic order parameter moves not!　H Moriya　Rev in Math Phys　online　2023
• 　On the open Dicke-type model generated by an infite-component vector spin 　R. Kyokawa, H. Moriya, H. Tamura　Open Systems & Information Dynamics　27　no.3　2050012　2020/12
• 　Characterization of degenerate supersymmetric ground states of the Nicolai supersymmetric fermion lattice model by symmetry breakdown　H katsura, H Moriya, Y Nakayama　J. Phys. A: Math. Theor.　53　38　385003　2020
• 　Supersymmetry breakdown for an extended version of the Nicolai supersymmetric fermion lattice model　Hajime Moriya　Phys. Rev. D.　98　1　2018/07/12

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Conference Presentations

• Thermal area law for infinite quantum systems(2025/03/20)
• On some known theorems on non-existence of spontaneous symmetry breakdown of time-translation symmetry for equilibrium states (2022/07/23)
• On dynamics of some supersymmetric fermion lattice models(conference：2018 kanazawa Quantum dynamics seminar )(2018/12/13)

Others

Arts and Fieldwork

Patent

Theme to the desired joint research

○Math education using cloud

Grant-in-Aid for Scientific Research

○「超対称性を持つ統計力学模型の関数解析的な研究」(2021-2024)　

Competitive research funding,Contribution

Collaborative research,Consignment study

Classes (Bachelors)

○Basic Literacy for Mathematics and Physics(2021)
○Theory of Differential Equations and Exercise(2021)
○Theory of Complex Analysis and Exercise(2021)
○Theory of Fourier Analysis and Exercise(2021)
○Theory of Fourier Analysis and Exercise(2021)
○Applied Mathematical Analysis A(2021)
○Applied Mathematical Analysis B(2021)
○Applied Mathematical Analysis A(2021)
○Applied Mathematical Analysis B(2021)
○Basic Literacy for Mathematics and Physics(2021)
○Theory of Complex Analysis and Exercise(2021)

Classes (Graduate Schools)

○Advanced lectures on quantum dynamics(2017)
○Advanced lectures on quantum dynamics(2017)
○Statistical Mechanics A(2017)
○Statistical Mechanics B(2017)
○Advanced lectures on quantum dynamics(2017)
○Advanced lectures on quantum dynamics(2017)