# Wave function

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Probability densities for the electron of a hydrogen atom in different quantum states. (ref: http://en.wikipedia.org/wiki/Quantum_state)

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Hydrogen wave function image from the Picture Book of Quantum Mechanics.

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A simple explanation of the components of the Schrodinger Equation

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Does the quantum wave function represent reality? At the heart of quantum mechanics lies the wave function, a probability function used by physicists to understand the nanoscale world. Using the wave function, physicists can calculate a system's future behavior, but only with a certain probability. This inherently probabilistic nature of quantum theory differs from the certainty with which scientists can describe the classical world, leading to a debate on how to interpret the wave function.

“The universe seems to like talking to itself faster than the speed of light,” said Steinberg. “I could understand a universe where nothing can go faster than light, but a universe where the internal workings operate faster than light, and yet we’re forbidden from ever making use of that at the macroscopic level — it’s very hard to understand.”

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Schrödinger equation - Wikipedia, the free encyclopedia

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LED Curtain Fairy Lights Multi Function, 198-LED, White

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Molecular Orbitals for the H2 Molecule. (a) This diagram shows the formation of a bonding σ1s molecular orbital for H2 as the sum of the wave functions (Ψ) of two H 1s atomic orbitals. (b) This plot of the square of the wave function (Ψ2) for the bonding σ1s molecular orbital illustrates the increased electron probability density between the two hydrogen nuclei. (Recall that the probability density is proportional to the square of the wave function.) (c) This diagram shows...

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