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Could anybody explain me why indeed we can express the first-order correction to the n-th wave function [tex]\psi_{n}^{1}[/tex] by linear combination [tex]\sum_{m} c_{m}^{(n)}\psi_{m}^{o}[/tex]
mfb said:you didn't specify where they come from
The formula for first order correction to the n-th wave function is given by:
Δψn = ∑k≠n ckψk
The first order correction is calculated by taking the sum of the products of the coefficients (ck) of all the other wave functions (ψk) and the original wave function (ψn) for all values of k except n.
The first order correction represents the change in the n-th wave function due to the presence of a perturbation in the system.
Yes, the first order correction can be either positive or negative, depending on the values of the coefficients and the perturbation.
The first order correction is used in quantum mechanics to improve the accuracy of the wave function by taking into account the effects of a perturbation on the system. It allows for a more precise calculation of the energy levels and properties of the system.