Research areas	Mathematical Physics, Partial Differential Equations
Keywords	Schroedinger Equation, Spectral and Scattering Theory
Themes
Major publications	(with Y. Tsujii) On spectral and scattering theory for one-body quantum systems in crossed constant electric and magnetic fields, Rev. Math. Phys. 36 (2024), Paper No. 2450011. (with K. Itakura, K. Ito and E. Skibsted) Spectral theory for 1-body Stark operators, Journal of Differential Equations 268 (2020), 5179--5206. (with A. Kiyose) On the Mourre estimates for Floquet Hamiltonians, Letters in Mathematical Physics 109 (2019), 2513--2529. (with M. Kawamoto) Quantum scattering in a periodically pulsed magnetic field, Ann. Henri Poincare 17 (2016), 2409--2438. (with Y. Fujiwara and A. Ishida) On multidimensional inverse scattering in time-dependent electric fields, Inverse Problems 29 (2013), 085012. (with M. Kawamoto) Avron-Herbst type formula in crossed constant magnetic and time-dependent electric fields, Lett. Math. Phys. 102 (2012), 65--90. Asymptotic completeness for N-body quantum systems with long-range interactions in a time-periodic electric field, Commun. Math. Phys. 275 (2007), 443--477. On spectral and scattering theory for N-body Schrodinger operators in a constant magnetic field, Rev. Math. Phys. 14 (2002), 199--240. Scattering theory for a two-body quantum system in a constant magnetic field, J. Math. Sci., The Univ. of Tokyo 8 (2001), 243--274. Scattering theory for N-body quantum systems in a time-periodic electric field, Funkcial. Ekvac. 44 (2001), 335--376. (with H. Tamura) Asymptotic Completeness for Long-Range Many-Particle Systems with Stark Effect, II, Commun. Math. Phys. 174 (1996), 537--559. Propagation estimates for N-body Stark Hamiltonians, Ann. l'Inst. H. Poincare -- Phys. Theor. 62 (1995), 409--428.
Professional societies/Research and synergic activities	The Mathematical Society of Japan
Teaching Areas	Undergraduate courses Real Analysis A, B Research in Mathematical Science Graduate courses (Master's program) Analysis of Mathematical Phenomena 1 Seminar on Mathematics of Phenomena 4A, 4B Graduate courses (Doctor's program) Special Seminar on Mathematics of Phenomena 1, 2 Special Seminar on Mathematical Science Undergraduate courses open to all departments Calculus with Exercises A, B Linear Algebra with Exercises A, B Advanced Linear Algebra
Background

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