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quantum123
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What is the classical analog for l=0 state?
Angular momentum = 0 , what kind of orbits is that?
Angular momentum = 0 , what kind of orbits is that?
DrDu said:For angular momentum zero, in a centrosymmetric potential, the particle will move from -r to +r and back again along a line of constant angle phi. Hence it falls through the center. I do not see why this should be classically forbidden. If an obstacle (like a nucleus) happens to be in the center, the particle may or may not get reflected. In classical mechanics, the particle either gets completely reflected or not reflected at all, while in QM (like in the hydrogen atom) you usually observe a superposition of unreflected and reflected paths. Furthermore in QM, the angle phi is undetermined, which does not mean that it changes in time.
The L=0 state refers to the quantum mechanical state of an atom or molecule where the angular momentum is equal to zero. This state is also known as the s-orbital or ground state, and it determines the shape and energy of the electron orbitals in the atom.
Angular momentum is a property of an object in motion that measures the amount of rotation it has around a specific axis. In the context of atoms, the orbital movement of electrons is related to their angular momentum, as the electrons are constantly moving in circular or elliptical paths around the nucleus.
The L=0 state, or the s-orbital, is the lowest energy state for an electron in an atom. This means that electrons in this state have the lowest possible energy level, and they can only move to higher energy states by absorbing energy.
The L=0 state is crucial for the stability of atoms because it determines the shape and energy of the electron orbitals. These orbitals determine the arrangement and distribution of electrons around the nucleus, which ultimately affects the chemical properties and stability of the atom.
Yes, the L=0 state can change if the atom absorbs or emits energy. This can cause the electron to move to a higher or lower energy state, which will change the shape and energy of the electron orbitals. However, the L=0 state will always be the lowest energy state for an electron in an atom under normal circumstances.