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Symbols · Notation and constants

ħ h-bar (reduced Planck constant)

Say it: “h bar”

What it means

The Planck constant divided by 2π, about 1.055 × 10⁻³⁴ joule-seconds. It sets the scale of quantum effects.

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

Quantum mechanics

E = ħω

Aethel says

E equals h bar omega

the energy of a photon of angular frequency ω

Typing it

LaTeX
\hbar
Unicode
U+210F, U+0127

Formulas that use it

Questions

How do you say ħ out loud?

It is usually read “h bar”.

What does ħ mean in maths?

The Planck constant divided by 2π, about 1.055 × 10⁻³⁴ joule-seconds. It sets the scale of quantum effects.

How do you type ħ?

In LaTeX, write \hbar. Its Unicode code point is U+210F, U+0127.

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