13 citations · 45 across the 6 of their papers we have counts for
6 papers
Diffusion enhancement in a levitated droplet via oscillatory deformation
Yuki Koyano, Hiroyuki Kitahata, Koji Hasegawa +5
Recent experimental results indicate that mixing is enhanced by a reciprocal flow induced inside a levitated droplet with an oscillatory deformation [T. Watanabe et al. Sci. Rep. 8…
Oscillation of a Rotating Levitated Droplet: Analysis with a Mechanical Model
Hiroyuki Kitahata, Rui Tanaka, Yuki Koyano +7
A droplet of millimeter-to-centimeter scale can exhibit electrostatic levitation, and such levitated droplets can be used for the measurement of the surface tension of the liquids…
Quantizing the discrete Painlevé VI equation : The Lax formalism
Koji Hasegawa
A discretization of Painlevé VI equation was obtained by Jimbo and Sakai in 1996. There are two ways to quantize it: 1) use the affine Weyl group symmetry (of ) (Hasegaw…
Quantizing the Bäcklund transformations of Painlevé equations and the quantum discrete Painlevé VI equation
Koji Hasegawa
Based on the works by Kajiwara, Noumi and Yamada, we propose a canonically quantized version of the rational Weyl group representation which originally arose as "symmetries" or the…
Commuting difference operators arising from the elliptic C_2^{(1)}-face model
Koji Hasegawa, Takeshi Ikeda, Tetsuya Kikuchi
We study a pair of commuting difference operators arising from the elliptic C_2^{(1)}-face model. The operators, whose coefficients are expressed in terms of the Jacobi's elliptic…
Ruijsenaars' commuting difference operators as commuting transfer matrices
Koji Hasegawa
For Belavin's elliptic quantum R-matrix, we construct an L-operator as a set of difference operators acting on functions on the type A weight space. According to the fundamental re…