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What operators commute with the Hamiltonian of a Deuterium Atom in the state n=1 (ie, what...

What operators commute with the Hamiltonian of a Deuterium Atom in the state n=1 (ie, what quantum numbers describe the system)?. The nucleus has spin i =1 and will induce hyperfine splitting.

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Answer #1

The operators that commutes with Hamiltonian of a Deuterium atom are:

1. Energy Operator

2. Orbital Angular Momentum Operator

3. Spin Angular Momentum Operator

the quantum numbers that describe the system are:

i. n = principle quantum number

ii. = Angular Momentum quantum number

iii. = Spin quantum number

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