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VIBRATING QUANTUM BILLIARDS ON RIEMANNIAN MANIFOLDS

VIBRATING QUANTUM BILLIARDS ON RIEMANNIAN MANIFOLDS

Quantum billiards provide an excellent forum for the analysis of quantum chaos. Toward this end, we consider quantum billiards with time-varying surfaces, which provide an important example of quantum chaos that does not require the semiclassical (ℏ → 0) or high quantum-number limits. We analyze vibrating quantum billiards using the …