Now showing items 1-5 of 5

    • Dual Pairs and Regularization of Kummer Shapes in Resonances 

      Ohsawa, Tomoki (American Institute of Mathematical Sciences, 2019-06)
      We present an account of dual pairs and the Kummer shapes for n : m resonances that provides an alternative to Holm and Vizman’s work. The advantages of our point of view are that the associated Poisson structure on su(2)* ...
    • Geometry and Dynamics of Gaussian Wave Packets and Their Wigner Transforms 

      Ohsawa, Tomoki; Tronci, Cesare (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 ...
    • Optimal Control Problems with Symmetry Breaking Cost Functions 

      Bloch, Anthony M.; Colombo, Leonardo J.; Gupta, Rohit; Ohsawa, Tomoki
      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 ...
    • Symmetry and Conservation Laws in Semiclassical Wave Packet Dynamics 

      Ohsawa, Tomoki (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 ...
    • The Hagedorn–Hermite Correspondence 

      Ohsawa, Tomoki
      We investigate the relationship between the semiclassical wave packets of Hagedorn and the Hermite functions by establishing a relationship between their ladder operators. This Hagedorn–Hermite correspondence provides a ...