What is the conjugate of (A+iB)exp(C+iD)?

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SUMMARY

The discussion centers on finding the conjugate of the expression (A+iB)exp(C+iD). The user successfully converted A+iB into exponential form and applied De Moivre's theorem to compute the square root of A+iB. Subsequently, they combined the two exponential forms and determined the conjugate of the resulting expression. This method effectively demonstrates the application of complex number theory in quantum mechanics.

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henry wang
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I came across this in QM course while trying to work out the time evolution equation of a wave-packet.

##(A+iB)^{1/2}*e^{C+iD}##

*Thank you I got it: I converted A+iB to exponential form and used De Moivre theorem to find the sqrt of A+iB, and finally combined the two exponentials and worked out the conjugate.*
 
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