POLYNOMIAL FORMULAE FOR THE HIGH ORDER INVARIANTS OF THE ANISOTROPIC OSCILLATOR AND POCHAMMER SYMBOLS

CAMPOAMOR-STURSBERG, RUTWIG (2016) POLYNOMIAL FORMULAE FOR THE HIGH ORDER INVARIANTS OF THE ANISOTROPIC OSCILLATOR AND POCHAMMER SYMBOLS. Asian Journal of Mathematics and Computer Research, 14 (4). pp. 267-274.

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Abstract

For the HamiltoniansH=p212+p222+q21+n2q22withn≥2, explicit polynomial formulae for thenth-order invariantJin the momenta are obtained by means of linear systems and the Pochammersymbols. It is further shown that invariants with leading termpk1(p1q2−p2q1) characterize quadraticpotentials separable in Cartesian coordinates.

Item Type: Article
Subjects: Eprints AP open Archive > Mathematical Science
Depositing User: Unnamed user with email admin@eprints.apopenarchive.com
Date Deposited: 28 Dec 2023 04:55
Last Modified: 28 Dec 2023 04:55
URI: http://asian.go4sending.com/id/eprint/1836

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