14 citations · 39 across the 8 of their papers we have counts for
8 papers
Runge-Lenz Vector as a 3d Projection of SO(4) Moment Map in Phase Space
Hitoshi Ikemori, Shinsaku Kitakado, Yoshimitsu Matsui +1
We show, using the methods of geometric algebra, that Runge-Lenz vector in the Kepler problem is a 3-dimensional projection of SO(4) moment map that acts on the phase space of 4-di…
Solitons of Sigma Model on Noncommutative Space as Solitons of Electron System
H. Otsu, T. Sato, H. Ikemori +1
We study the relationship of soliton solutions for electron system with those of the sigma model on the noncommutative space, working directly in the operator formalism. We find th…
Lost equivalence of nonlinear sigma and models on noncommutative space
H. Otsu, T. Sato, H. Ikemori +1
We show that the equivalence of nonlinear sigma and models which is valid on the commutative space is broken on the noncommutative space. This conclusion is arrived at thr…
New BPS Solitons in 2+1 Dimensional Noncommutative CP^1 Model
H. Otsu, T. Sato, H. Ikemori +1
Investigating the solitons in the non-commutative model, we have found a new set of BPS solitons which does not have counterparts in the commutative model.
Berry Connections and Induced Gauge Fields in Quantum Mechanics on Sphere
H. Ikemori, S. Kitakado, H. Otsu +1
Quantum mechanics on sphere is studied from the viewpoint that the Berry's connection has to appear as a topological term in the effective action. Furthermore we show that…
Hopf Map and Quantization on Sphere
H. Ikemori, S. Kitakado, H. Otsu +1
Quantization of a system constrained to move on a sphere is considered by taking a square root of the ``on sphere condition''. We arrive at the fibre bundle structure of the Hopf m…