Saint Guinefort
Verified User
The story I've read is that Heisenberg and Schrodinger independently came up with different mathmatical treatments of the quantum wave function, and both had perfectly adequate predictive power.
They apparently are both equivalent.
(Emphasis added)APS said:Shortly after Heisenberg came up with his matrix-based quantum mechanics, Erwin Schrödinger developed his wave formulation. The absolute square of Schrödinger’s wave function was soon interpreted as the probability of finding a particle in a certain state. Schrödinger’s wave formulation, which he soon proved was mathematically equivalent to Heisenberg’s matrix methods, became the more popular approach, partly because physicists were more comfortable with it than with the unfamiliar matrix mathematics. (HERE)
But they both can't be true and certain depictions of reality. They both can't be right.
Actually if they are equivalent they can both be true. One is based in matrices the other based in wave functions.
It seems that the value of Heisenberg's matrix approach was that it led to the Uncertainty Principle.
That is an example of this long standing debate in philosopy of science. Do scientific theories represent reality as it really is? Or does they only represent relationships of our experiences with nature
I am not entirely certain this would be a good example of two competing theories that are mutually exclusive. It really looks more like a framing difference.