摘要翻译:
量子力学系统本征函数的完备性对其概率解释至关重要。利用等高线积分的方法,对Morse势的离散谱和连续谱都给出了适当的归一化本征函数,并显式证明了完备性关系。作为应用,我们利用谱分解公式研究了金融市场上交易的亚式期权的定价问题。
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英文标题:
《Morse Potential, Contour Integrals, and Asian Options》
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作者:
Peng Zhang
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最新提交年份:
2010
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分类信息:
一级分类:Physics 物理学
二级分类:Quantum Physics 量子物理学
分类描述:Description coming soon
描述即将到来
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一级分类:Quantitative Finance 数量金融学
二级分类:Pricing of Securities 证券定价
分类描述:Valuation and hedging of financial securities, their derivatives, and structured products
金融证券及其衍生产品和结构化产品的估值和套期保值
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英文摘要:
Completeness of the eigenfunctions of a quantum mechanical system is crucial for its probability interpretation. By using the method of contour integral we give properly normalized eigenfunctions for both discrete and continuum spectrum of the Morse potential, and explicitly prove the completeness relation. As an application we use our spectral decomposition formula to study the problem of the pricing of an Asian option traded in financial markets.
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PDF链接:
https://arxiv.org/pdf/1010.3820