On a new technique to manufacture isochronous Hamiltonian systems: classical and quantal treatments
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We discuss a new technique to -modify real Hamiltonians so that they become isochronous while remaining real. Although the Ï‰-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.
- © 2007, the Authors. Published by Atlantis Press.
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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 -