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Main Question or Discussion Point
Why momentum is replaced by momentum operator in Schrodinger equation ?
He took one part de Broglie and one part Einstein and mixed it together... on a serious note, [tex]p \mapsto -i \hbar \tfrac{\partial}{\partial x}[/tex] follows from de Broglie's work and is based on analogies between classical mechanics of particles and waves.So we have a set of quantum rule or postulate that can not be derived. That will be a bit strange, because then where did Schrodinger get his equation?
That is not strange, every field has its postulates (axioms) that can't be derived nor be prooved.So we have a set of quantum rule or postulate that can not be derived. That will be a bit strange, because then where did Schrodinger get his equation?