reducedPlanckConstant

Reduced Planck constant

Try it yourself:


Reduced Planck constant: h-bar

reducedPlanckConstant, ℏ, equals Planck constant divided by 2π. It is the standard quantum constant for angular momentum and angular frequency.

Practical use

Use ℏ in E = ℏω and quantum commutation relations. Compare planckConstant for ordinary frequency and tau for the full-turn factor 2π.

Caveats

Do not mix ω with frequency ν: they differ by 2π. Use multiply with units of radians per second, and retain the distinction in symbolic work with simplify.

Use Reduced Planck Constant in a calculation

Enter reducedPlanckConstant on a calculator line to see its built-in value, or place the name inside a longer expression. Keep any displayed unit attached when converting or combining physical quantities, and check that every other value uses a compatible dimension.

The example above is editable, so you can replace surrounding values and test the constant in your own formula. Browse all constants to compare related values and notation.

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