Level statistics for H in a high magnetic field

Although Garton and Tomkins discovered -mixing, n-mixing and the quasi-Landau resonances in the spectrum of Ba, from the standpoint of quantum chaology the asymptotically Coulombic nature of the atomic 

From the theoretical point of view, as stated at the outset, there is no problem of quantisation if the variables of the problem are separable. In fact, the problem of H in a strong magnetic field, taking even the simplest possible Hamiltonian with only Coulomb and diamagnetic terms 

The beauty of the magnetic field problem is the degree of control over its structure which can be achieved. In particular, increasing a single parameter (the energy or n value) allows the system to be raised to the semiclassical limit. Varying the field strength, on the other hand, allows the point where the order-to-chaos transition occurs to be modified. 

There are, however, difficulties in this approach. These difficulties are not connected with the high magnetic field problem rather, they are 

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