The spin-dependent Hamiltonian of an electron positron system in the presence of a uniform magnetic field in
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The spin-dependent Hamiltonian of an electron positron system in the presence of a uniform magnetic field in the z-direction can be written as
Suppose the spin function of the system is given by
(a) Is this an eigenfunction of H in the limit A → 0, e B ⁄ mc ≠ 0? If it is, what is the energy eigenvalue? If it is not, what is the expectation value of H?
(b) Solve the same problem when e B ⁄ mc → 0, A ≠ 0.
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