Abstract
Quantum nonintegrability in finite systems, as viewed from geometry and dynamical symmetry breaking, is discussed in this article. The concept of quantum nonintegrability can be constructed from the mathematical structures of quantum mechanics. It is shown that there is a natural geometrical description for a quantum system, which provides a suitable stage to investigate the time-honored question of quantum-classical correspondence as well as the underlying problem of nonintegrability in quantum mechanics. The implication of dynamical symmetry breaking to quantum nonintegrability and chaos is explored.
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