On the Quantization of Yet Another Two Nonlinear Harmonic Oscillators

DOI

10.2991/jnmp.2004.11.1.1How to use a DOI?

Abstract

In two previous papers the quantization was discussed of three one-degree-of-freedom Hamiltonians featuring a constant c, the value of which does not influence at all the corresponding classical dynamics (which is characterized by isochronous solutions, all of them periodic with period 2: "nonlinear harmonic oscillators"), but turned instead out to influence, possibly quite nontrivially, the results in the quantized case. The quantization of two analogous Hamiltonian systems is discussed in this paper. The outcome is analogous, if perhaps even more clear cut, than in the previous three cases; it also confirms that different quantized spectra may be obtained if quantization is performed before or after a (nonlinear) canonical transformation.

Copyright

© 2006, 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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TY  - JOUR
AU  - Francesco Calogero
PY  - 2004
DA  - 2004/02/01
TI  - On the Quantization of Yet Another Two Nonlinear Harmonic Oscillators
JO  - Journal of Nonlinear Mathematical Physics
SP  - 1
EP  - 6
VL  - 11
IS  - 1
SN  - 1776-0852
UR  - https://doi.org/10.2991/jnmp.2004.11.1.1
DO  - 10.2991/jnmp.2004.11.1.1
ID  - Calogero2004
ER  -