The diabolic point bifurcates into two exceptional ones on exceptional lines where the matrices are defective. The adiabatic transport of eigenvectors and eigenstates in parameter space is discussed in this generalized diabolic crossing scenario, in particular the geometric Berry phases for a cyclic ...
In the discussion of the possible experimental identification of a diabolic point in deformed nuclei as a function of mass number and rotational angular momentum one should consider not only the pair transfer between yrast states but also the Coulomb excitation of the continuation of the ground-...
Seyranian, Unfolding of eigenvalue surfaces near a diabolic point due to a complex perturbation. J. Phys. A: Math. Gen., 38:5531-5546, 2005.Kirillov O N, Mailybaev A A and Seyranian A P 2004 Unfolding of eigenvalue surfaces near a diabolic point due to a complex perturbation Preprint...