Hi, The reason I'm posting this is because I'm trying to understand how to interpret the wave function of a particle. I'm trying to decide which interpretations of quantum mechanics are just speculation, and which ones are consistent with experimentation. I know that quantum objects such as electrons exhibit wave-like properties, but how do we know these observed properties are consistent with the Shrondinger equation? Is there any particular experiment which shows that the probability distribution of a quantum particle is consistent with the Shrodinger equation? Or any other types of experiments which support the Shrodinger equation? For example, can you construct an approximately infinite well and observe the appropriate energies and expectation values predicted by the Shrodinger equation? Etc etc.