Differentiating a complex valued conjugate function Watch

Jammy4410
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What is d/dx of G bar (x) ?

where G(x) is a complex valued function and G bar is the conjugate, is it just G bar prime?
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davros
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(Original post by Jammy4410)
What is d/dx of G bar (x) ?

where G(x) is a complex valued function and G bar is the conjugate, is it just G bar prime?
I'm very rusty on this stuff, but are you sure it's differentiable?

Is there a specific question you're working on?
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Smaug123
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(Original post by Jammy4410)
What is d/dx of G bar (x) ?

where G(x) is a complex valued function and G bar is the conjugate, is it just G bar prime?
The complex conjugate function is not complex-differentiable. If you mean G: \mathbb{R} \to \mathbb{C}, just write out the limit expression to obtain that it is the complex conjugate of G'.
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Jammy4410
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(Original post by Smaug123)
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(Original post by davros)
I
trying to show this but for the extra term that prevents self-adjointness, i get the negative o that (wrong sign)

Take L to be the second order differential operator (for simplicity) and the inner product is with respect to w(x)=1 so it adds no value
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