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Volume 14, Issue 4, December 2007, Pages 612 - 636
On a new technique to manufacture isochronous Hamiltonian systems: classical and quantal treatments
Authors
F. Calogero, F. Leyvraz
Corresponding Author
F. Calogero
Received 12 June 2007, Accepted 14 August 2007, Available Online 1 December 2007.
- DOI
- 10.2991/jnmp.2007.14.4.8How to use a DOI?
- Abstract
We discuss a new technique to -modify real Hamiltonians so that they become isochronous while remaining real. Although the ω-modified Hamiltonians thereby obtained often yield, in the classical context, singular motions, we exhibit and inves- tigate simple examples when this does not (quite) happen. We also identify quantized versions of some of these isochronous models featuring equispaced spectra, and observe that there are cases when in the classical context the motions run into singularities while in the quantal context it is nevertheless justified to arrive at nonsingular models with equispaced spectra.
- Copyright
- © 2007, the Authors. Published by Atlantis Press.
- Open Access
- This is an open access article distributed under the CC BY-NC license (http://creativecommons.org/licenses/by-nc/4.0/).
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Cite this article
TY - JOUR AU - F. Calogero AU - F. Leyvraz PY - 2007 DA - 2007/12/01 TI - On a new technique to manufacture isochronous Hamiltonian systems: classical and quantal treatments JO - Journal of Nonlinear Mathematical Physics SP - 612 EP - 636 VL - 14 IS - 4 SN - 1776-0852 UR - https://doi.org/10.2991/jnmp.2007.14.4.8 DO - 10.2991/jnmp.2007.14.4.8 ID - Calogero2007 ER -