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What is the total Hamiltonian for a particle in motion with initial Hamiltonian H0, and then experiencing a magnetic field of strength B?

What is the total Hamiltonian for a particle in motion with initial Hamiltonian H0, and then experiencing a magnetic field of strength B? Correct Answer H0 + \(\frac{eB}{2m_e}\)Lz

The total Hamiltonian is the sum of the initial Hamiltonian and energy due to the magnetic field. This energy is the spin magnetic moment in a field of strength B. This considers the magnetic quantum number, m, and field strength. Eigenvalues for this can be found as well.

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