2 citations · 3 across the 3 of their papers we have counts for
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Approximation of Semiclassical Expectation Values by Symplectic Gaussian Wave Packet Dynamics
Tomoki Ohsawa
This paper concerns an approximation of the expectation values of the position and momentum of the solution to the semiclassical Schrödinger equation with a Gaussian as the initial…
Collective Heavy Top Dynamics
Tomoki Ohsawa
We construct a Poisson map with respect to the canonical Poisson bracket on $T^{*}\mathbb{C}^{2} \cong T^{*}\mathbb{…
The Symmetric Representation of the Generalized Rigid Body Equations and Symplectic Reduction
Tomoki Ohsawa
We show that a symplectic reduction of the symmetric representation of the generalized -dimensional rigid body equations yields the -dimensional Euler equation. This result p…
Symplectic Reduction and the Lie--Poisson Shape Dynamics of Point Vortices on the Plane
Tomoki Ohsawa
We show that the symplectic reduction of the dynamics of point vortices on the plane by the special Euclidean group yields a Lie--Poisson equation for relative…