Schrödinger’s Equation

Schrödinger’s equation says that the equation models matter not as a particle but as a wave and describes how such a wave propagates. Schrödinger’s equation is fundamental to quantum mechanics, which together with general relativity constitute today’s most effective theories of the physical universe. It led us to a radical revision of physics at very small scales, in which every object has a ‘wave function’ that describes a probability cloud of possible states. At this level, the world is inherently uncertain. Attempts to relate the microscopic quantum world to our macroscopic classical world led to philosophical issues that still reverberate. But experimentally, the quantum theory works beautifully, and today’s computer chips and lasers wouldn’t work without it.

Similar Stuff

The Formula to Get 42 Billion Digits of π

The Formula to Get 42 Billion Digits of π

While writing "7 Utterly Well-written Math Books About Pi," I found a very interesting math formula that will give you 42 consecutive digits of π accurately but is still wrong.
Black-Scholes Equation | Equations That Changed the World

Black-Scholes Equation

Black-Scholes equation says how the price of financial derivative changes over time, based on the principle that when the price is correct.
Chaos Theory | Equations That Changed the World | Abakcus

Chaos Theory

Chaos theory models how a population of living creatures changes from one generation to the next, when there are limits to the available resources. It is one of the simplest…
Information Theory| Equations That Changed the World | Abakcus

Information Theory

Information theory ushered in the age of information. It is basic to today’s digital communications—phones, CDs, DVDs, the Internet.
Relativity | Equations That Changed the World | Abakcus


Einstein's relativity formula says that matter contains energy equal to its mass multiplied by the square of the speed of light.
Maxwell's Equations | Equations That Changed the World | Abakcus

Maxwell’s Equations

Maxwell's equations were the first major unification of physical forces, showing that electricity and magnetism are intimately interrelated.
Navier-Stokes | Equations That Changed the World | Abakcus


Navier-Stokes is actually Newton’s second law of motion in disguise. This formula provides an accurate way to calculate how fluids move.
Fourier Transform | Equations That Changed the World | Abakcus

Fourier Transform

Fourier transform says any pattern in space and time can be considered a superposition of sinusoidal patterns with different frequencies.