Quantum Physics

    

Numerical Study of Anharmonic Oscillator Using Python Code

Authors: Sahebabegum Pathan, Naveen K. Singh

In this work, we explore the python code to study the anharmonic oscillator. In obtaining the numerical solution for eigenvalues and eigen-functions, we discretize the spatial coordinates into the finite number of grid points and use the finite difference method. We observe that the effect of anharmonic term in hamiltonian in shifting energy level increases towards higher energy states. We compare eigen functions for ground, first excited and second excited state of the harmonic oscillator with anharmonic oscillator. Further, the corrected wave-functions using first order perturbationtheory are compared with wave-functions obtained from the numerical solutions of Schrodinger’s equations. The numerical Python code shows consistency of first order perturbation theory for the small value of anharmonic term.

Comments: 15 Pages.

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Submission history

[v1] 2026-04-19 20:12:15

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