4 citations · 6 across the 7 of their papers we have counts for
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Weierstrass Relation for a Submanifold in $\EE^n$ Coming from Submanifold Dirac Operator
Shigeki Matsutani
Using the submanifold quantum mechanical scheme, the restricted Dirac operator in a submanifold is defined. Then it is shown that the zero mode of the Dirac operator expresses the…
Submanifold Differential Operators in $\Cal D$-Module Theory II: Generalized Weierstrass and Frenet-Serret Relations as Dirac Equations
Shigeki Matsutani
This article is one of a series of papers. For this decade, the Dirac operator on a submanifold has been studied as a restriction of the Dirac operator in -dimensional euclidean…
Submanifold Differential Operators in $\Cal D$-Module Theory I : Schrödinger Operators
Shigeki Matsutani
For this quarter of century, differential operators in a lower dimensional submanifold embedded or immersed in real -dimensional euclidean space $\EE^n$ have been studied as qua…
On the Moduli of a quantized loop in P and KdV flows: Study of hyperelliptic curves as an extension of Euler's perspective of elastica I
Shigeki Matsutani, Yoshihiro Onishi
Quantization needs evaluation of all of states of a quantized object rather than its stationary states with respect to its energy. In this paper, we have investigated moduli $\CMeP…