- #1

phyQu

- 2

- 1

- TL;DR Summary
- How to calculate the error made using the WKB approximation?

hello everyone

I tell you a little about my situation.

I already found the approximate wavefunctions for the schrodinger equation with the potential ##V(x) = x^2##, likewise, energy, etc.

I have the approximate WKB solution and also the exact numeric solution.

What I need to do is to calculate the error of the approximate solution with respect to the exact solution,

but I need help to start, because I am lost with this topic.

Will it be possible to make an error analysis?

Will it be possible apply that is defined as ##e = |y_{exact} - y_{approx}|##?

Do you know if someone has already worked out the error for the WKB approximation?

Do you know of any recent article dealing with this?

I've searched the internet and I can't find anything that tells me specifically about the error of this method, please, can someone help me.

Thanks in advance

I tell you a little about my situation.

I already found the approximate wavefunctions for the schrodinger equation with the potential ##V(x) = x^2##, likewise, energy, etc.

I have the approximate WKB solution and also the exact numeric solution.

What I need to do is to calculate the error of the approximate solution with respect to the exact solution,

but I need help to start, because I am lost with this topic.

Will it be possible to make an error analysis?

Will it be possible apply that is defined as ##e = |y_{exact} - y_{approx}|##?

Do you know if someone has already worked out the error for the WKB approximation?

Do you know of any recent article dealing with this?

I've searched the internet and I can't find anything that tells me specifically about the error of this method, please, can someone help me.

Thanks in advance