Is Planck's constant a fundamental unit of angular momentum or action?
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Planck’s constant is not a fundamental unit of angular momentum or action. It is a fundamental constant of physics that appears in many equations in quantum mechanics. It is the proportionality constant between the energy of a quantum mechanical system and its frequency.
Angular momentum is a physical quantity that is conserved in many systems. It is the product of an object’s mass and its rotational velocity. Action is a quantity that is used to measure the change in a system’s phase space as it evolves over time.
Planck’s constant can be used to calculate the angular momentum and action of a quantum mechanical system. However, it is not a fundamental unit of either quantity. The fundamental units of angular momentum and action are the kilogram, the meter, and the second.
Here is a table that summarizes the units of Planck’s constant, angular momentum, and action:
As you can see, Planck’s constant has different units than angular momentum and action. This is because it is not a fundamental unit of either quantity.