Phys. Rev. Lett. 75, 1244–1247 (1995)Invariant Tori and Heisenberg Matrix Mechanics: A New Window on the Quantum- Classical CorrespondenceReceived 9 November 1994; revised 27 April 1995; published in the issue dated 14 August 1995 Despite the seminal connection between classical multiply periodic motion and Heisenberg matrix mechanics, we show that there are fundamental, previously undisclosed aspects of this quantum-classical correspondence. These include a quantum variational principle that implies the classical variational principle for invariant tori and the connection between commutation relations and quantization of action variables. Possible applications are described briefly. © 1995 The American Physical Society URL:
http://link.aps.org/doi/10.1103/PhysRevLett.75.1244
DOI:
10.1103/PhysRevLett.75.1244
PACS:
03.65.Ca
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