- #1
daudaudaudau
- 302
- 0
Hi.
Sometimes in my quantum mechanics course we encounter derivatives such as [itex]\frac{d}{dz}z^*[/itex], i.e. the derivative of the complex conjugate of the complex variable z wrt z. We are told that this is just zero, even though I know that the complex conjugate is not an analytic function ... Has anyone else encountered this? I asked my teachers but they didn't know what was going on. Does this have anything to do with the fact that for an analytic function [itex]f(z)[/itex], the derivative wrt [itex]z^*[/itex] is zero, i.e. [itex]\frac{d}{dz^*}f(z)=0[/itex]?
Sometimes in my quantum mechanics course we encounter derivatives such as [itex]\frac{d}{dz}z^*[/itex], i.e. the derivative of the complex conjugate of the complex variable z wrt z. We are told that this is just zero, even though I know that the complex conjugate is not an analytic function ... Has anyone else encountered this? I asked my teachers but they didn't know what was going on. Does this have anything to do with the fact that for an analytic function [itex]f(z)[/itex], the derivative wrt [itex]z^*[/itex] is zero, i.e. [itex]\frac{d}{dz^*}f(z)=0[/itex]?