# š¯’«š¯’Æ Symmetry, Non-Gaussian Path Integrals, and the Quantum Blackā€“Scholes Equation

@article{Hicks2019SN, title={š¯’«š¯’Æ Symmetry, Non-Gaussian Path Integrals, and the Quantum Blackā€“Scholes Equation}, author={William Hicks}, journal={Entropy}, year={2019}, volume={21} }

The Accardiā€“Boukas quantum Blackā€“Scholes framework, provides a means by which one can apply the Hudsonā€“Parthasarathy quantum stochastic calculus to problems in finance. Solutions to these equations can be modelled using nonlocal diffusion processes, via a Kramersā€“Moyal expansion, and this provides useful tools to understand their behaviour. In this paper we develop further links between quantum stochastic processes, and nonlocal diffusions, by inverting the question, and showing how certainā€¦Ā

## 7 Citations

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### Application of the Laplace Homotopy Perturbation Method to the Blackā€“Scholes Model Based on a European Put Option with Two Assets

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In this paper, the Laplace homotopy perturbation method (LHPM) is applied to obtain the approximate solution of Blackā€“Scholes partial differential equations for a European put option with two assets.ā€¦

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