Abstract
The connection between classical and quantum mechanics (i.e., the semi-classical limiting asymptotics as ħ → 0) must be subtle and complicated, because classical mechanics itself (i.e., the classical limit ħ = 0) is subtle and complicated: the orbits of systems governed by Hamilton’s equations of motion may be predictable (regular) or unpredictable (irregular) depending on subtle details of the form of the Hamiltonian H(q i , p i ).(1–3) A natural question is: how does the “chaology” of classical orbits reflect itself in the corresponding quantum system? Sometimes this question is put in the form: what is quantum chaos?
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Berry, M.V. (1988). Classical Chaos and Quantum Eigenvalues. In: Lundqvist, S., March, N.H., Tosi, M.P. (eds) Order and Chaos in Nonlinear Physical Systems. Physics of Solids and Liquids. Springer, Boston, MA. https://doi.org/10.1007/978-1-4899-2058-4_11
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