Phys. Rev. Lett. 58, 2611–2614 (1987)Metamorphosis and duality between quantum systemsReceived 29 December 1986; published in the issue dated 22 June 1987 We show that a duality transformation (connecting integrable Hamiltonian systems) recently discovered by Hietarinta and co-workers in two dimensions at a classical level can be directly established in N dimensions from a quantum formulation of the problem. Further, we show duality to be valid for a much larger class of dynamical systems and to be not necessarily unique. We speculate that this nonuniqueness could be a characteristic of separable systems. © 1987 The American Physical Society URL:
http://link.aps.org/doi/10.1103/PhysRevLett.58.2611
DOI:
10.1103/PhysRevLett.58.2611
PACS:
03.20.+i, 02.30.+g
|
|
About | Terms and Conditions | Subscriptions | Search | Help
Use of the American Physical Society websites and journals implies that the user has read and agrees to our Terms and Conditions and any applicable Subscription Agreement. Physical Review®, Physical Review Letters®, Reviews of Modern Physics®, and Physical Review Special Topics® are trademarks of the American Physical Society.