A financially interpretable quantum model is proposed to study the probability distributions of the stock price return. Stock market forces can be modeled with a quantum harmonic oscillator Traditionally, a quantum harmonic oscillator model is used to describe the tiny vibrations in a diatomic molecule, but the description is also universal in the sense that it can be extended to … The MarketWatch News Department was not involved in the creation of this content. The stochastic equation governing our model is transformed into a Schrödinger equation, … The dynamics of a quantum particle is considered an analog of the motion of stock price. Sep 25, 2020 (The Expresswire) -- Global “Harmonic Oscillator Market” forecast report … Instead of a harmonic oscillator in previous studies, a quantum anharmonic oscillator is applied to the stock in liquid market. The leptokurtic distributions of price return can be reproduced by our quantum model with the introduction of mixed-state and multi-potential. Then the probability distributions of price return can be computed from the wave functions that evolve according to Schrodinger equation. We propose a quantum harmonic oscillator as a model for the market force which draws a stock return from short-run fluctuations to the long-run equilibrium. We propose a quantum harmonic oscillator as a model for the market force which draws a stock return from short-run fluctuations to the long-run equilibrium.