Effective Hamiltonian for Non-Kramers Doublets

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Abstract
A method of irreducible tensor operators is described for constructing effective Hamiltonians for non-Kramers doublets. It is pointed out that this method is superior in several points to other methods. The exact effective Hamiltonians for all the non-Kramers doublets in 32 point groups are tabulated. These Hamiltonians involve the effects of magnetic and electric fields up to the second order as well as those of the hyperfine interactions. The interaction of nuclear spins with a magnetic field is taken into account to the first order. Finally, selection rules for paraelectric and paramagnetic resonances are derived by use of the effective Hamiltonians for all the non-Kramers doublets.