Hydrogen atom Lets have a non-relativistic description of the hydrogen atom using pointlike electron and nucleus without any spin. a. What are the quantum numbers and their range of values of the energy levels? Which energy levels are degenerate? b. Assume that the electron has a (small) finite volume. What is the effect on the energy levels (i.e. shifts, splittings)? c. Now assume instead that the nucleus has a spin and magnetic moment (but NOT the electron). Describe whether this leads to an additional term in the Hamiltonian and what its effect is on the energy levels and (good) quantum numbers.
Hydrogen atom Lets have a non-relativistic description of the hydrogen atom using pointlike electron and nucleus without any spin. a. What are the quantum numbers and their range of values of the energy levels? Which energy levels are degenerate? b. Assume that the electron has a (small) finite volume. What is the effect on the energy levels (i.e. shifts, splittings)? c. Now assume instead that the nucleus has a spin and magnetic moment (but NOT the electron). Describe whether this leads to an additional term in the Hamiltonian and what its effect is on the energy levels and (good) quantum numbers.
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Hydrogen atom Lets have a non-relativistic description of the hydrogen atom using pointlike electron and nucleus without any spin. a. What are the quantum numbers and their range of values of the energy levels? Which energy levels are degenerate? b. Assume that the electron has a (small) finite volume. What is the effect on the energy levels (i.e. shifts, splittings)? c. Now assume instead that the nucleus has a spin and magnetic moment (but NOT the electron). Describe whether this leads to an additional term in the Hamiltonian and what its effect is on the energy levels and (good) quantum numbers.
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