# Pseudo-Hermiticity and Removing Brownian Motion From Finance

@article{Hicks2020PseudoHermiticityAR, title={Pseudo-Hermiticity and Removing Brownian Motion From Finance}, author={William Hicks}, journal={arXiv: Mathematical Finance}, year={2020} }

In this article we apply the methods of quantum mechanics to the study of the financial markets. Specifically, we discuss the Pseudo-Hermiticity of the Hamiltonian operators associated to the typical partial differential equations of Mathematical Finance (such as the Black-Scholes equation) and how this relates to the non-arbitrage condition.
We propose that one can use a Schrodinger equation to derive the probabilistic behaviour of the financial market, and discuss the benefits of doing so…

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