4 citations · 6 across the 7 of their papers we have counts for
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Neumann system and hyperelliptic al functions
Shigeki Matsutani
This article shows that the Neumann dynamical system is described well in terms of the Weierestrass hyperelliptic al functions.
Relations in a Loop Soliton as a Quantized Elastica
Shigeki Matsutani
In the previous article (J. Geom. Phys. {\bf 43} (2002) 146), we show the hyperelliptic solutions of a loop soliton as a study of a quantized elastica. This article gives some func…
Submanifold Dirac Operator with Torsion
Shigeki Matsutani
The submanifold Dirac operator has been studied for this decade, which is closely related to Frenet-Serret and generalized Weierstrass relations. In this article, we will give a su…
On an Algebraic Essential of Submanifold Quantum Mechanics
Shigeki Matsutani
The submanifold quantum mechanics was opened by Jensen and Koppe (Ann. Phys. {\bf 63} (1971) 586-591) and has been studied for these three decades. This article gives its more alge…
Wave-Particle Complementarity and Reciprocity of Gauss Sums on Talbot Effects
Shigeki Matsutani, Yoshihiro Ônishi
Berry and Klein (J. Mod. Opt. (1997) 43 2139-2164) showed that the Talbot effects in classical optics are naturally explained by Gauss sums studied in number theory. Their result w…
Soliton Solutions of Kortweg-de Vries Equations and Hyperelliptic Sigma Functions
Shigeki Matsutani
Soliton Solutions of Korteweg-de Vries (KdV) were constructed for given degenerate curves in terms of hyperelliptic sigma functions and explicit Abelian integra…