Hyperelliptic loop solitons with genus g: investigations of a quantized elastica
نویسندگان
چکیده
منابع مشابه
Hyperelliptic loop solitons with genus g: investigations of a quantized elastica
In the previous work (J. Geom. Phys. 39 (2001) 50-61), the closed loop solitons in a plane, i.e., loops whose curvatures obey the modified Korteweg-de Vries equations, were investigated for the case related to algebraic curves with genera one and two. This article is a generalization of the previous article to those of hyperelliptic curves with general genera. It was proved that the tangential ...
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This article is devoted to an investigation of a reality condition of a hyperelliptic loop soliton of higher genus. In the investigation, we have a natural extension of Jacobi am-function for an elliptic curves to that for a hyperelliptic curve. We also compute winding numbers of loop solitons.
متن کاملRelations in a Loop Soliton as a Quantized Elastica
In the previous article (J. Geom. Phys. 43 (2002) 146), we show the hyperelliptic solutions of a loop soliton as a study of a quantized elastica. This article gives some functional relations in a loop soliton as a quantized elastica. 2000 MSC: 37K20, 35Q53, 14H45, 14H70
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Closed loop solitons in a plane, whose curvatures obey the modified Korteweg-de Vries equation, were investigated. It was shown that their tangential vectors are expressed by ratio of Weierstrass sigma functions for genus one case and ratio of Baker’s sigma functions for the genus two case. This study is closely related to classical and quantized elastica problems. 2000 MSC: 35Q53, 53A04, 14H45...
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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 Melas of a quantized elastica, a quantized loop on with an energy functional associated with the Schwarz derivative, on a Riemannian sphere P. Then we proved that its moduli is decomposed to equivalent classes determined by...
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ژورنال
عنوان ژورنال: Journal of Geometry and Physics
سال: 2002
ISSN: 0393-0440
DOI: 10.1016/s0393-0440(02)00017-7