A quantum model for the stock market

Details A quantum model for the stock market A quantum model for the stock market

2010-09-24

arxiv.org/abs/1009.4843v2

Economy

Quantitative Finance

Statistical Finance

Final accepted version by Physica A. 13 pages and 3 figures

Scientific paper

10.1016/j.physa.2010.09.008

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.

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