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math-ph2011★ 31 cited
Algebraic Calculation of the Energy Eigenvalues for the Nondegenerate Three-Dimensional Kepler-Coulomb Potential
Yannis Tanoudis, Costas Daskaloyannis
In the three-dimensional flat space, a classical Hamiltonian, which has five functionally independent integrals of motion, including the Hamiltonian, is characterized as superinteg…
math-ph2009★ 5 cited
Ternary Poisson algebra for the non degenerate three dimensional Kepler Coulomb potential
Y. tanoudis, C. Daskaloyannis
In the three dimensional flat space any classical Hamiltonian, which has five functionally independent integrals of motion, including the Hamiltonian, is characterized as superinte…
math-ph2009★ 6 cited
Quadratic algebras for three dimensional non degenerate superintegrable systems with quadratic integrals of motion
Y. Tanoudis, C. Daskaloyannis
The three dimensional superintegrable systems with quadratic integrals of motion have five functionally independent integrals, one among them is the Hamiltonian. Kalnins, Kress and…