Energies for Arbitrarily Excited States in Adiabatic Approximation

In the previous chapter we presented the complete list of results for principal quantum numbers up to n p = 5. It is evident that the expenditure necessary to cover arbitrary n p does not, in general, justify the effort. However, in the limit of intense magnetic fields, where the adiabatic approximation is applicable — that is, the factorization of the wave function in a single product of a Landau wave function and a longitudinal part —, an asymptotic property of the effective potentials together with a quantum defect description allows us to determine the energy values of states with an arbitrary degree of excitation for any magnetic quantum number in intense magnetic fields from a single table. Explaining the method and the use of the table is the subject of this section.