Excel: graphing the quantum harmonic oscillator eigenfunctions, part 2

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This video demonstrates how to modify the Excel (R) worksheet created in part 1 to demonstrate that the eigenfunctions of quantum harmonic oscillator Hamiltonian with different eigenvalues are orthogonal to each other. As noted in previous videos, the methods shown are not necessarily the most elegant, but are intended to be the easiest to implement and to understand for non-experts.

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Is it necessary to write psi ( subscribt 1) or I can write it as psi 1 without subscribt because the option equation doesn't work during write these my problem in ( subscribt)

mariamtarawneh-