Chirality of wavefunctions for three coalescing levels
W D Heiss · Journal of Physics A Mathematical and Theoretical · 2008
The analytic structure in the vicinity of three coalescing eigenvalues (EP3) of a matrix problem is investigated. It is argued that the three eigenfunctions—also coalescing at the EP3—invoke a true chiral behaviour in the vicinity of the EP3 and that they can be related to a three-dimensional helix. The orientation of the helix depends on the distribution of the widths of the three levels in the vicinity of the EP3.