Q2) Consider the n=3 state |3, j, m¡,l) of the hydrogen atom. a) Write all the combinations of the possible quantum numbers, (n, l,j,m;) and the corresponding states in the spectroscopic notation, n25+1L¡. b) Calculate the energy of the each state including the fine structure. Express your result in terms of fine structure constant. Sketch a diagram to show the energy splitting. c) Consider the transitions 3 2D5/2 3 ?P/2. Calculate the wavelengths of light emitted in this transition. d) Find the energy of each state under weak -field Zeeman splitting .
Q2) Consider the n=3 state |3, j, m¡,l) of the hydrogen atom. a) Write all the combinations of the possible quantum numbers, (n, l,j,m;) and the corresponding states in the spectroscopic notation, n25+1L¡. b) Calculate the energy of the each state including the fine structure. Express your result in terms of fine structure constant. Sketch a diagram to show the energy splitting. c) Consider the transitions 3 2D5/2 3 ?P/2. Calculate the wavelengths of light emitted in this transition. d) Find the energy of each state under weak -field Zeeman splitting .
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Transcribed Image Text:Q2) Consider the n=3 state |3, j, m¡,l) of the hydrogen atom.
a) Write all the combinations of the possible quantum numbers,(n, l, j,m;) and the corresponding
states in the spectroscopic notation, n2s+1L¡.
"Lj.
b) Calculate the energy of the each state including the fine structure. Express your result in terms of fine
structure constant. Sketch a diagram to show the energy splitting.
c) Consider the transitions 3 2D5/2 → 3 2P1/2. Calculate the wavelengths of light emitted in this
transition.
d) Find the energy of each state under weak -field Zeeman splitting .
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