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math-ph2022★ 7 cited
Shannon information entropy for a quantum nonlinear oscillator on a space of non-constant curvature
Angel Ballesteros, Ivan Gutierrez-Sagredo
The so-called Darboux III oscillator is an exactly solvable -dimensional nonlinear oscillator defined on a radially symmetric space with non-constant negative curvature. This os…
math-ph2022★ 5 cited
Higher-order superintegrable momentum-dependent Hamiltonians on curved spaces from the classical Zernike system
Alfonso Blasco, Ivan Gutierrez-Sagredo, Francisco J. Herranz
We consider the classical momentum- or velocity-dependent two-dimensional Hamiltonian given by where …