Schrodinger developed his famous wave equation which describes how the quantum state of a system changes over time. But, what was Schrodinger trying to initially prove with his equation?I assume that it has to do with Debrogile's hypothesis. I know from my classes that we use the Schrodinger equation to find the probability of an electron at some position in space. But, wasn't it Born who suggested the probability distribution density interpretation? I know that Schrodinger once believed it was the electrical-charged density, but later abandoned it. I guess my question is this: Doesn't the probability distribution interpretation rely on the belief of quantum superposition and the Copenhagen interpretation (CHI); but as from what I understand, Schrodinger did not agree with superposition or the CHI as demonstrated by his famous (although often misunderstood) cat in the box thought experiment , so what did he believe the wave function represented?