# Closed Quantum Black-Scholes: Quantum Drift and the Heisenberg Equation of Motion

@article{Hicks2020ClosedQB,
title={Closed Quantum Black-Scholes: Quantum Drift and the Heisenberg Equation of Motion},
author={William Hicks},
journal={Risk Management eJournal},
year={2020}
}
• William Hicks
• Published 26 November 2019
• Physics
• Risk Management eJournal
In this article we model a financial derivative price as an observable on the market state function. We apply geometric techniques to integrating the Heisenberg Equation of Motion. We illustrate how the non-commutative nature of the model introduces quantum interference effects that can act as either a drag or a boost on the resulting return. The ultimate objective is to investigate the nature of quantum drift in the Accardi-Boukas quantum Black-Scholes framework which involves modelling the…
1 Citations
Wild Randomness and the Application of Hyperbolic Diffusion in Financial Modelling
The application of the Cauchy distribution has often been discussed as a potential model of the financial markets. In particular the way in which single extreme, or "Black Swan", events can impact

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