A quantum model for the stock market

Chao Zhang and Lu Huang

Papers from arXiv.org

Abstract: Beginning with several basic hypotheses of quantum mechanics, we give a new quantum model in econophysics. In this model, we define wave functions and operators of the stock market to establish the Schr\"odinger equation for the stock price. Based on this theoretical framework, an example of a driven infinite quantum well is considered, in which we use a cosine distribution to simulate the state of stock price in equilibrium. After adding an external field into the Hamiltonian to analytically calculate the wave function, the distribution and the average value of the rate of return are shown.

Date: 2010-09, Revised 2010-10
New Economics Papers: this item is included in nep-fmk
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Citations: View citations in EconPapers (22)

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