Erratum: Polynomial Poisson Algebras for Classical Superintegrable Systems with a Third Order Integral of Motion [J. Math. Phys. 48, 012902 (2007)] | Zendy

Ian Marquette | Zendy; P. Winternitz | Zendy

Open Access

Erratum: Polynomial Poisson Algebras for Classical Superintegrable Systems with a Third Order Integral of Motion [J. Math. Phys. 48, 012902 (2007)]

Author(s) -

Ian Marquette,

P. Winternitz

Publication year - 2008

Publication title -

journal of mathematical physics

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.708

H-Index - 119

eISSN - 1089-7658

pISSN - 0022-2488

DOI - 10.1063/1.2831929

Subject(s) - superintegrable hamiltonian system , mathematics , mathematical physics , cartesian coordinate system , quadratic equation , poisson algebra , quantum , hamiltonian (control theory) , separation of variables , separable space , scalar (mathematics) , mathematical analysis , poisson bracket , hamiltonian system , pure mathematics , physics , quantum mechanics , lie algebra , covariant hamiltonian field theory , partial differential equation , mathematical optimization , geometry

We consider a superintegrable Hamiltonian system in a two-dimensional spacewith a scalar potential that allows one quadratic and one cubic integral ofmotion. We construct the most general associative cubic algebra and we presentspecific realizations. We use them to calculate the energy spectrum. Allclassical and quantum superintegrable potentials separable in cartesiancoordinates with a third order integral are known. The general formalism isapplied to one of the quantum potentials

The content you want is available to Zendy users.

Already have an account? Click here to sign in.

Having issues? You can contact us here

Accelerating Research