Why is the complex conjugate of a TISE solution also a solution?

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gimak

OP warned about not providing an attempt at a solution

Homework Statement

Lets say f(x) is a solution to TISE. If it is, why is its complex conjugate f*(x) a solution too?

TISE = time independent Schrödinger equation

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BvU

Science Advisor

Homework Helper

You can convince yourself by showing that $$H\Psi = E\Psi\Rightarrow (H\Psi)^* = (E\Psi)^*$$