Quantum Mechnics Why Heisenberg Uncertianty Principle is applies for only certain pairs like position and momentum,...

Quantum Mechnics

Why Heisenberg Uncertianty Principle is applies for only certain pairs like position and momentum, Energy and time, Angular momentum and theeta?

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Expert Solution

Very good question indeed.

They come in pairs has nothing to do with quantum mechanics, but with the structure of classical mechanics. In classical mechanics, initial conditions for a system is described by the initial position of everything, and also the initial momentum. The classical variables come in pairs which are called canonically conjugate, because of having property that the time rate of change of one variable is given by the derivative of the energy with respect to the other variable.

Furthermore, The uncertainty principle is not expressed by pairs like Energy and position because they are not canonically conjugate. So all the given pairs are anologous in character i.e. Canonically conjugate.

genius_generous answered 1 year ago

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