📝 Exercise

What is the complex conjugate of $\( \Psi(x,t) = A e^{(a+bi)(kx - \omega t)} \)$

The complex conjugate is obtained by replacing \(i\) with \(-i\). So

\[ \Psi^*(x,t) = A e^{(a-bi)(kx - \omega t)} \]

I would accept an answer where it was not assumed that the constants in the expression were real, e.g.,

\[ \Psi^*(x,t) = A^* e^{(a^*-b^*i)(k^*x - \omega^* t)} \]