In high static-magnetic field environment, such stellar interiors, the energy levels of a H-atom are modified in such a way that they depend on land m in addition to n. In this problem assume that the eigenvectors of Ĥo, 1² and Î₂ are still the usual In, l, m), but the energy is eigenvalue is Enem o ném (r,0,0) = EnemÞnim (1, 0, 0) 13.6eV Enem 2 n +0.1m 1+ 1 2l+1
In high static-magnetic field environment, such stellar interiors, the energy levels of a H-atom are modified in such a way that they depend on land m in addition to n. In this problem assume that the eigenvectors of Ĥo, 1² and Î₂ are still the usual In, l, m), but the energy is eigenvalue is Enem o ném (r,0,0) = EnemÞnim (1, 0, 0) 13.6eV Enem 2 n +0.1m 1+ 1 2l+1
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Transcribed Image Text:In high static-magnetic field environment, such stellar interiors, the
energy levels of a H-atom are modified in such a way that they depend on l and m
in addition to n. In this problem assume that the eigenvectors of Ĥo, β and Î₂ are
still the usual In, l, m), but the energy is eigenvalue is Enem
O
Ĥ
Φ nem (r,0,0) = EnemÞµlm (1,0,0)
13.6eV
■
E
'nlm
=
+0.1m 1+
n
。 Znm (1,0,0) = l (l+1)ħ²Þntm (r,0,0)
O Î₂nem (r,0,0) = mħÞ,
Dnem (1,0,0)
1
2l+1
Consider the n = 2 level. Calculate the energy eigenvalues for all 4 states. Draw a
stack of lines in order of increasing energy with the lowest one at the bottom
Expert Solution
Step 1
In this question, we have given Energy eigenvalues which also depend on the n, l, and m values. So we have to find the energy level of each level and see the exact value of their energy.
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