A Modern Approach to Quantum Mechanics · Problem 5.6

Wave Mechanics in One Dimension — John S. Townsend

Physics — Quantum Mechanics · positronium-hamiltonian-energy-eigenvalues

Problem

Take the spin Hamiltonian of the positronium atom (a bound state of an electron and a positron) in an external magnetic field in the zz direction to be H^=2Aℏ2S^1⋅S^2+ω0(S^1z−S^2z)\hat{H} = \frac{2A}{\hbar^2}\hat{S}_1 \cdot \hat{S}_2 + \omega_0(\hat{S}_{1z} - \hat{S}_{2z}) Determine the energy eigenvalues.

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