36 citations · 248 across the 57 of their papers we have counts for
15 papers · 1 filter
An algebraic description of screw dislocations in SC and BCC crystal lattices
Hiroyasu Hamada, Shigeki Matsutani, Junichi Nakagawa +2
We give an algebraic description of screw dislocations in a crystal, especially simple cubic (SC) and body centered cubic (BCC) crystals, using free abelian groups and fibering str…
From Euler's elastica to the mKdV hierarchy, through the Faber polynomials
Shigeki Matsutani, Emma Previato
The modified Korteweg-de Vries hierarchy (mKdV) is derived by imposing isometry and isoenergy conditions on a moduli space of plane loops. The conditions are compared to the constr…
On homogenized conductivity and fractal structure in a high contrast continuum percolation model
Shigeki Matsutani, Yoshiyuki Shimosako
In the previous article (S. Matsutani and Y. Shimosako and Y. Wang, Physica A \bf{391} (2012) 5802-5809) we numerically investigated an electric potential problem with high contras…
Sigma functions for a space curve of type (3, 4, 5)
Shigeki Matsutani, Jiryo Komeda
In this article, a generalized Kleinian sigma function for an affine (3,4,5) space curve of genus 2 was constructed as the simplest example of the sigma function for an affine spac…
On a commutative ring structure in quantum mechanics
Shigeki Matsutani
In this article, I propose a concept of the -on which is modelled on the multi-photon absorptions in quantum optics. It provides a commutative ring structure in quantum mechanic…
Gauss Optics and Gauss Sum on an Optical Phenomena
Shigeki Matsutani
In the previous article (Found Phys. Lett. {\bf{16}} 325-341), we showed that a reciprocity of the Gauss sums is connected with the wave and particle complementary. In this article…