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LagrangeEuler
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In quantum mechanics hydrogen atom problem ##L=\sqrt{l(l+1)}\hbar##. What that means physically when ##L=0##?
Angular momentum is a measure of the rotational motion of a particle around a fixed point. In the context of the hydrogen atom problem, it refers to the orbital motion of the electron around the nucleus.
The quantum number L represents the magnitude of the angular momentum of the electron in the hydrogen atom. It is related to the shape of the electron's orbital and can take on values from 0 to n-1, where n is the principal quantum number.
The angular momentum of the electron is quantized in the hydrogen atom because the electron can only occupy certain discrete energy levels, and each energy level corresponds to a specific value of angular momentum. This is a fundamental principle of quantum mechanics.
The value of L determines the energy levels of the hydrogen atom. As L increases, the energy levels also increase. This is because the higher the angular momentum, the more energy the electron has in its orbital motion.
Yes, the angular momentum of the electron can be changed if the electron absorbs or emits energy. This can happen through interactions with other particles or through the absorption or emission of photons. However, the value of L will always be quantized and will correspond to a specific energy level.