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.
- Received 9 November 1994
DOI:https://doi.org/10.1103/PhysRevLett.75.1244
©1995 American Physical Society