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math-ph2003
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…
math-ph2003
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…
math-ph2003
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…