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ifos • paper_2 • quantum_mechanicsifos-2024-subject-05-007

Hamilton’s equations — UPSC IFoS 2024 Physics PYQ

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Find the energy levels of a spin S = \frac{3}{2} particle whose Hamiltonian is given by H = \frac{\alpha}{\hbar^2}(S_x^2 + S_y^2 - 2S_z^2) - \frac{\beta}{\hbar} S_z where \alpha, \beta are constants. Are these levels degenerate?

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