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arXiv 1111.6859q-fin.GNquant-ph
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最小长度不确定性与股票市场的量子模型

The minimal length uncertainty and the quantum model for the stock market

Pouria Pedram

摘要:

我们推广了张和黄最近提出的股票市场的量子模型,使其与股票价格的离散性质相一致。在该形式中,股票价格及其趋势满足广义不确定性关系,相应的广义哈密顿量包含一个与趋势的四次方成正比的附加项。我们研究了一个受驱动的无限量子阱,其中信息作为外部场周期性地波动,并表明股票的最小交易价值的存在导致量子系统的特征频率的正移。最后讨论了信息频率与跃迁概率之间的关系。

英文摘要:

We generalize the recently proposed quantum model for the stock market by Zhang and Huang to make it consistent with the discrete nature of the stock price. In this formalism, the price of the stock and its trend satisfy the generalized uncertainty relation and the corresponding generalized Hamiltonian contains an additional term proportional to the fourth power of the trend. We study a driven infinite quantum well where information as the external field periodically fluctuates and show that the presence of the minimal trading value of stocks results in a positive shift in the characteristic frequencies of the quantum system. The connection between the information frequency and the transition probabilities is discussed finally.

机构、总结、中文摘要均由AI分析而来,可能存在错误,请以论文正文为准。

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