Schrodinger Equation - SS3 Physics Lesson Note

The Schrödinger equation is a fundamental equation in quantum mechanics that describes the time evolution of a quantum mechanical state. The equation was first formulated by Austrian physicist Erwin Schrödinger in 1925.

The Schrödinger equation is a partial differential equation that describes how the wavefunction of a physical system change over time. The wavefunction is a mathematical function that describes the probability amplitude of the system being in a particular state at a particular time.

The general form of the time-dependent Schrödinger equation for a single particle is:

iħ∂ψ÷∂t = Hψ

where ψ is the wavefunction, t is time, H is the Hamiltonian operator, and ħ is the reduced Planck constant.

The Schrödinger equation is the fundamental equation of quantum mechanics, and it is used to describe a wide variety of physical systems, including atoms, molecules, and solid-state materials.