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Symbols · Greek letters

ψ Ψ Psi

Say it: “psi” · SIGH (the p is usually silent in English), also PSY

What it means

The twenty-third Greek letter. In quantum mechanics ψ is the wave function, which holds the state of a system. It is also a stream function in fluids and the digamma function.

Read aloud in real formulas

Quantum mechanics

iħ ∂ψ/∂t = Ĥψ

Aethel says

i h bar the partial derivative of psi with respect to t equals H hat psi

the Schrödinger equation for ψ

Quantum mechanics

∫ |ψ|² dx = 1

Aethel says

the integral of the absolute value of psi, squared d x equals 1

the probabilities add up to one

Typing it

LaTeX
\psi, \Psi
Unicode
U+03C8, U+03A8

Formulas that use it

Questions

How do you pronounce psi (ψ)?

It is said “psi”, roughly SIGH (the p is usually silent in English), also PSY.

What does ψ mean in maths?

The twenty-third Greek letter. In quantum mechanics ψ is the wave function, which holds the state of a system. It is also a stream function in fluids and the digamma function.

How do you type ψ?

In LaTeX, write \psi, \Psi. Its Unicode code point is U+03C8, U+03A8.

Related symbols

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