Journal of Nonlinear Mathematical Physics

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
https://doi.org/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.
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Journal
Journal of Nonlinear Mathematical Physics
Volume-Issue
14 - 4
Pages
612 - 636
Publication Date
2007/12
ISSN (Online)
1776-0852
ISSN (Print)
1402-9251
DOI
https://doi.org/10.2991/jnmp.2007.14.4.8How to use a DOI?
Open Access
This is an open access article distributed under the CC BY-NC license.

Cite this article

TY  - JOUR
AU  - F. Calogero
AU  - F. Leyvraz
PY  - 2007
DA  - 2007/12
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  - https://doi.org/10.2991/jnmp.2007.14.4.8
ID  - Calogero2007
ER  -