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Isochronous systems and their quantization

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An Erratum to this article was published on 01 August 2007

Abstract

We review recent results about classical isochronous systems characterized by the presence of an open (hence fully dimensional) region in their phase space in which all their solutions are completely periodic (i.e., periodic in all degrees of freedom) with the same fixed period (independent of the initial data provided they are inside the isochronicity region). We report a technique for generating such systems, whose wide applicability justifies the statement that isochronous systems are not rare. We also present an analogous technique applicable to a vast class of Hamiltonian systems and generating isochronous Hamiltonian systems. We also report some results concerning the quantized versions of such systems.

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Authors and Affiliations

  1. Dipartimento di Fisica, Università degli studi di Roma “La Sapienza,” INFN, Sezione di Roma, Rome, Italy

    F. Calogero

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  1. F. Calogero
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__________

Translated from Teoreticheskaya i Matematicheskaya Fizika, Vol. 152, No. 1, pp. 5–19, July, 2007.

An erratum to this article is available at http://dx.doi.org/10.1007/s11232-007-0105-1.

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Calogero, F. Isochronous systems and their quantization. Theor Math Phys 152, 882–893 (2007). https://doi.org/10.1007/s11232-007-0074-4

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