Nodal domains in open microwave systems

Details Nodal domains in open microwave systems Nodal domains in open microwave systems

2006-12-18

arxiv.org/abs/cond-mat/0612421v1

Physics

Condensed Matter

Other Condensed Matter

7 pages, 10 figures, submitted to PRE

Scientific paper

Nodal domains are studied both for real $\psi_R$ and imaginary part $\psi_I$ of the wavefunctions of an open microwave cavity and found to show the same behavior as wavefunctions in closed billiards. In addition we investigate the variation of the number of nodal domains and the signed area correlation by changing the global phase $\phi_g$ according to $\psi_R+i\psi_I=e^{i\phi_g}(\psi_R'+i\psi_I')$. This variation can be qualitatively, and the correlation quantitatively explained in terms of the phase rigidity characterising the openness of the billiard.

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