What is the Schrödinger Equation? A basic introduction to Quantum Mechanics

This video provides a basic introduction to the Schrödinger equation by exploring how it can be used to perform simple quantum mechanical calculations. After explaining the basic structure of the equation, the infinite square well potential is used as a case study. The separation of variables approach is used to solve the Schrödinger equation and Born's probabilistic interpretation of the wave-function is used to calculate the expectation value of the position of a particle in a box. Stationary states are discussed, and it is shown that a linear superposition of energy eigenstates leads to non-stationary states with uncertain energy. The oscillation frequency of a simple superposition of states is calculated and comparisons with radiation emission from atoms is discussed. References: Quantum physics of atoms, molecules, solids, nuclei and particles - Eisberg and Resnick (Motivating the structure of the Schrodinger equation) Introduction to Quantum Mechanics - Griffiths and Schroeter (Examples of expectation values and superposition of states). Introduction to Quantum Mechanics - Phillips Vibrations and Waves - King The Quantum Story - Jim Baggot Quantum Physics for Dummies - Steven Holzner Thirty Years that Shook Physics - Gamow Inward Bound - Abraham Pais You can help support this channel via the Physics Explained Patreon account: https://www.patreon.com/physicsexplained You can follow me on instagram: https://www.instagram.com/physics_explained_ig You can follow me on Twitter: https://twitter.com/PhysicsExplain1