Dr. Tomoki Ohsawa is an Assistant Professor of Applied Mathematics. His research interests are in the "geometric aspects of Hamiltonian dynamics, semiclassical and quantum dynamics, nonholonomic dynamics, and optimal control theory, and their applications."
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We investigate symmetry reduction of optimal control problems for left-invariant control affine systems on Lie groups, with partial symmetry breaking cost functions. Our approach emphasizes the role of variational principles ...
(Amer Inst Physics, 2018-09-24)We find a relationship between the dynamics of the Gaussian wave packet and the dynamics of the corresponding Gaussian Wigner function from the Hamiltonian/symplectic point of view. The main result states that the momentum ...
(American Institute of Physics Inc., 2015-03-18)We formulate symmetries in semiclassical Gaussian wave packet dynamics and find the corresponding conserved quantities, particularly the semiclassical angular momentum, via Noether's theorem. We consider two slightly ...