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math-ph2006★ 58 cited
A maximally superintegrable system on an n-dimensional space of nonconstant curvature
Angel Ballesteros, Alberto Enciso, Francisco J. Herranz +1
A novel Hamiltonian system in n dimensions which admits the maximal number 2n-1 of functionally independent, quadratic first integrals is presented. This system turns out to be the…
math-ph2004
On quantum integrability and Hamiltonians with pure point spectrum
A. Enciso, D. Peralta-Salas
We prove that any -dimensional Hamiltonian operator with pure point spectrum is completely integrable via self-adjoint first integrals. Furthermore, we establish that given any…