Department/Division Human and Environmental Studies/Mathematical and Information Sciences
Undergraduate School Division of Cognitive and Information Sciences
Other Affiliation
Email adachi(_at_) (replace "(_at_)" with at-sign)
Personal Page Website
Research areas Mathematical Physics, Partial Differential Equations
Keywords Schroedinger Equation, Spectral and Scattering Theory
Major publications (with Kyohei Itakura, Kenichi Ito and Erik Skibsted) Spectral theory for 1-body Stark operators, Journal of Differential Equations 268 (2020), 5179--5206.
(with Amane 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 Hideo 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

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