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What is Quantum Chaos in Vibrating Billiards about?

This document discusses the radially vibrating spherical quantum billiard as a model for studying quantum chaos. It considers superposition states of the quantum billiard and derives conditions for when such states will exhibit chaotic behavior. Specifically, it finds that a two-term superposition state will only behave chaotically if the normal modes have common rotational symmetry. The document provides examples of both integrable and chaotic superposition states through numerical simulations. It observes

Author

José Rojas Olavarría

Language

EN