Semiclassical quantization of a classical analog for the Jahn–Teller E×e system

We semiclassically quantize a classical analog Hamiltonian, derived using the classical electron formalism of Meyer and Miller, for the linear approximation to the Jahn–Teller E×e system. Quantization is achieved for realistic values of the nonadiabatic coupling parameter, by means of the method of adiabatic switching. The results are found to be in reasonable agreement with quantum mechanical eigenvalues, and a useful qualitative picture of the associated nonadiabatic dynamics is obtained.