The Path-Integral Computations on Two-Sheeted Riemann Surfaces of Genus N
碩士 === 國立交通大學 === 應用數學系 === 88 === The integrals over a,b cycles for the cuts on Riemann surface will solve many problems in Differential Equations. Generalize the complex plane C to the Riemann surface such that one two-valued function defined on C becomes single-valued and analytic defi...
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2000
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| Online Access: | http://ndltd.ncl.edu.tw/handle/50568567391687392432 |
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ndltd-TW-088NCTU05070122016-07-08T04:22:40Z http://ndltd.ncl.edu.tw/handle/50568567391687392432 The Path-Integral Computations on Two-Sheeted Riemann Surfaces of Genus N 黎曼空間之積分運算 Jie-Ru Wu 吳潔如 碩士 國立交通大學 應用數學系 88 The integrals over a,b cycles for the cuts on Riemann surface will solve many problems in Differential Equations. Generalize the complex plane C to the Riemann surface such that one two-valued function defined on C becomes single-valued and analytic defined on Riemann surface. By Cauchy integral theorem, we find an equivalent path of a,b cycle such that two integrals equal. The equivalent path integrals along cuts can be computed by "Mathematica" simply and correctly. This approach offers an easy way to obtain the periodic soliton solution and be checked by "Mathematica". Jong-Eao Lee 李榮耀 2000 學位論文 ; thesis 37 en_US |
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NDLTD |
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en_US |
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Others
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NDLTD |
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碩士 === 國立交通大學 === 應用數學系 === 88 === The integrals over a,b cycles for the cuts on Riemann surface will solve many problems in Differential Equations. Generalize the complex plane C to the Riemann surface such that one two-valued function defined on C becomes single-valued and analytic defined on Riemann surface. By Cauchy integral theorem, we find an equivalent path of a,b cycle such that two integrals equal. The equivalent path integrals along cuts can be computed by "Mathematica" simply and correctly. This approach offers an easy way to obtain the periodic soliton solution and be checked by "Mathematica".
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| author2 |
Jong-Eao Lee |
| author_facet |
Jong-Eao Lee Jie-Ru Wu 吳潔如 |
| author |
Jie-Ru Wu 吳潔如 |
| spellingShingle |
Jie-Ru Wu 吳潔如 The Path-Integral Computations on Two-Sheeted Riemann Surfaces of Genus N |
| author_sort |
Jie-Ru Wu |
| title |
The Path-Integral Computations on Two-Sheeted Riemann Surfaces of Genus N |
| title_short |
The Path-Integral Computations on Two-Sheeted Riemann Surfaces of Genus N |
| title_full |
The Path-Integral Computations on Two-Sheeted Riemann Surfaces of Genus N |
| title_fullStr |
The Path-Integral Computations on Two-Sheeted Riemann Surfaces of Genus N |
| title_full_unstemmed |
The Path-Integral Computations on Two-Sheeted Riemann Surfaces of Genus N |
| title_sort |
path-integral computations on two-sheeted riemann surfaces of genus n |
| publishDate |
2000 |
| url |
http://ndltd.ncl.edu.tw/handle/50568567391687392432 |
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