Who made the mathematical equation for electron locations?

The mathematical equation for electron locations is primarily derived from the principles of quantum mechanics, specifically through the work of physicist Erwin Schrödinger. In 1926, he formulated the Schrödinger equation, which describes how the quantum state of a physical system changes over time and is fundamental to understanding the behavior of electrons in atoms. This equation allows for the calculation of electron probability distributions, leading to the concept of atomic orbitals.