Part 7/10:
The Schrödinger Equation and Probability
With the establishment of wave properties in particles like electrons, physicists sought a wave equation to encapsulate their behavior, leading to the development of the Schrödinger equation. This equation has significant implications: it defines the probability of finding a quantum object at specific locations, represented by the square of the wave function's amplitude (Ψ).
Thus, an electron does not possess a definitive position until it is observed; rather, it exists within a probability distribution. This means that prior to measurement, its location is not unknown but fundamentally probabilistic in nature.