Stock markets and quantum dynamics: A second quantized description

F. Bagarello

Physica A: Statistical Mechanics and its Applications, 2007, vol. 386, issue 1, 283-302

Abstract: In this paper we continue our description of stock markets in terms of some non-abelian operators which are used to describe the portfolio of the various traders and other observable quantities. After a first prototype model with only two traders, we discuss a more realistic model of market involving an arbitrary number of traders. For both models we find approximated solutions for the time evolution of the portfolio of each trader. In particular, for the more realistic model, we use the stochastic limit approach and a fixed point like approximation.

Keywords: Second quantization; Quantum dynamics; Stock markets (search for similar items in EconPapers)
Date: 2007
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Citations: View citations in EconPapers (11)

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Persistent link: https://EconPapers.repec.org/RePEc:eee:phsmap:v:386:y:2007:i:1:p:283-302

DOI: 10.1016/j.physa.2007.08.031

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