Quantum billiards and constrained random wave correlations

Abstract

We study chaotic eigenfunctions in wedge-shaped and rectangular regions using a generalization of Berry's conjecture. An expression for the two-point correlation function is derived and verified numerically.

References in corpus (4)

• Linear and Nonlinear Theory of Eigenfunction Scars
• Correlations in Chaotic Eigenfunctions at Large Separation
• Wavefunction Intensity Statistics from Unstable Periodic Orbits
• Weak Quantum Ergodicity

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• Integrating Random Matrix Theory Predictions with Short-Time Dynamical Effects in Chaotic Systems
• Quantum birthmarks: Ergodicity breaking beyond scarring
• Relaxation Fluctuations of Correlation Functions: Spin and Random Matrix Models