Invariant Tori and Heisenberg Matrix Mechanics: A New Window on the Quantum- Classical Correspondence
- 14 August 1995
- journal article
- research article
- Published by American Physical Society (APS) in Physical Review Letters
- Vol. 75 (7) , 1244-1247
- https://doi.org/10.1103/physrevlett.75.1244
Abstract
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.Keywords
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