I have just learnt the quantum harmonic oscillator
When we start to Solve the schodinger equation. y"= (K - x^2) y
We look at large x behaviour and use a substitution y = u(x)* exp(-x^2 /2)
to approximate the large x behaviour first,
then we use series method to solve the equation which is in terms of u(x)
I wonder if we can use power series or froenvious series to solve the equation at the very beginning
When we start to Solve the schodinger equation. y"= (K - x^2) y
We look at large x behaviour and use a substitution y = u(x)* exp(-x^2 /2)
to approximate the large x behaviour first,
then we use series method to solve the equation which is in terms of u(x)
I wonder if we can use power series or froenvious series to solve the equation at the very beginning
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