Superposition of super-integrable pseudo-Euclidean potentials in N = 2 with a fundamental constant of motion of arbitrary order in the momenta

Journal Article · Tue Apr 15 00:00:00 EDT 2014 · Journal of Mathematical Physics

DOI:https://doi.org/10.1063/1.4871546· OSTI ID:22250780

Campoamor-Stursberg, R., E-mail: [e-mail] ^[1]

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1. I.M.I. and Dpto. de Geometría y Topología, Fac. CC. Matemáticas, Universidad Complutense de Madrid, Plaza de Ciencias 3, E-28040 Madrid (Spain)

It is shown that for any α,β∈R and k∈Z, the Hamiltonian H{sub k}=p{sub 1}p{sub 2}−αq{sub 2}{sup (2k+1)}q{sub 1}{sup (−2k−3)}−(β)/2 q{sub 2}{sup k}q{sub 1}{sup (−k−2)} is super-integrable, possessing fundamental constants of motion of degrees 2 and 2k + 2 in the momenta.

• OSTI ID: 22250780
• Journal Information: Journal of Mathematical Physics, Vol. 55, Issue 4; Other Information: (c) 2014 AIP Publishing LLC; Country of input: International Atomic Energy Agency (IAEA); ISSN 0022-2488
• Country of Publication: United States
• Language: English

Related Subjects

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GENERAL PHYSICS
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FUNDAMENTAL CONSTANTS
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POTENTIALS