CALIBRATION OF QUANTUM HARMONIC OSCILLATOR AS A STOCK RETURN DISTRIBUTION MODEL ON THE INDEX OF NSEI

Atman Bhatt; Ravi Gor

doi:10.29121/ijoest.v6.i6.2022.423

Authors

Atman Bhatt Research Scholar, Department of Applied Mathematical Science, Actuarial Science and Analytics, Gujarat University, Ahmedabad, India
Dr. Ravi Gor Department of Applied Mathematical Science, Actuarial Science and Analytics, Gujarat University, Ahmedabad, India

DOI:

https://doi.org/10.29121/ijoest.v6.i6.2022.423

Keywords:

Quantum Harmonic Oscillator, Gaussian Distribution, Non-Gaussian Properties, Eigen-State, Eigen-Energy, Angular Frequency, Schrodinger Equation, Stock Return Distribution

Abstract

Stock returns have a mixed distribution, which describes Gaussian and non-Gaussian characteristics of the stock return distribution, according to the solution of the Schrodinger equation for the quantum harmonic oscillator. As a model for the market force, A quantum harmonic oscillator which uses a stock return from short-run oscillations to long-run equilibrium will be suggested. We will calculate fitting errors and goodness of fit statistics by analysing the All-Share Index of the National Stock Exchange of India.

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