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According to Berry a wave-chaotic state may be viewed as a superposition ofmonochromatic plane waves with random phases and amplitudes. Here we considerthe distribution of nodal points associated with this state. Using the propertythat both the real and imaginary parts of the wave function are random Gaussianfields we analyze the correlation function and densities of the nodal points.Using two approaches (the Poisson and Bernoulli) we derive the distribution ofnearest neighbor separations. Furthermore the distribution functions for nodalpoints with specific chirality are found. Comparison is made with results fromfrom numerical calculations for the Berry wave function.Comment: 11 pages, 7 figure

Distribution of nearest distances between nodal points for the Berry function in two dimensions