Franz Schwabl Quantum Mechanics 4th Edit · Problem 10.1

Approximation Methods for Stationary States

Physics — Quantum Mechanics · spin-half-two-particle-hamiltonian

Problem

Let the Hamiltonian of a two-spin system be given by

H = A + B\mathbf{S}_1 \cdot \mathbf{S}_2 + C\,(S_{1,z} + S_{2,z}) \;.

Determine the eigenvalues and eigenfunctions if the particles are identical and have spin

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