Ignoring the fine structure splitting, hyperfine structure splitting, etc., such that energy levels depend only on the principal quantum number \( n \), how many distinct states of singly-ionized helium (\( Z = 2 \)) have energy \( E = -13.6 \, \text{eV} \)? Write out all the quantum numbers \( (n, \ell, m_{\ell}, m_s) \) describing each distinct state. (Recall that the ground state energy of hydrogen is \( E_1 = -13.6 \, \text{eV} \), and singly-ionized helium may be treated as a hydrogen-like atom.)

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Ignoring the fine structure splitting, hyperfine structure splitting, etc., such that energy levels depend only on the principal quantum number n, how many distinct states of singly-ionized helium (Z = 2) have energy E = -13.6 eV? Write out all the quantum numbers (n, l, me, ms) describing each distinct state. (Recall that the ground state energy of hydrogen is E₁ -13.6 eV, and singly-ionized helium may be treated as a hydrogen-like atom.)

Ignoring the fine structure splitting, hyperfine structure splitting, etc., such that energy levels depend only on the principal quantum number n, how many distinct states of singly-ionized helium (Z = 2) have energy E = -13.6 eV? Write out all the quantum numbers (n, l, me, ms) describing each distinct state. (Recall that the ground state energy of hydrogen is E₁ -13.6 eV, and singly-ionized helium may be treated as a hydrogen-like atom.)