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math-ph2025
Generalized classical and quantum Zernike Hamiltonians
Francisco J. Herranz, Alfonso Blasco, Rutwig Campoamor-Stursberg +3
A superintegrable generalization of the classical and quantum Zernike systems is reviewed. The corresponding Hamiltonians are endowed with higher-order integrals and can be interpr…
quant-ph2025
Rényi and Tsallis information entropies for the Darboux III quantum nonlinear oscillator
Ignacio Baena-Jimenez, Angel Ballesteros, Ivan Gutierrez-Sagredo +1
The Darboux III oscillator is an exactly solvable -dimensional nonlinear oscillator defined on a radially symmetric space with non-constant negative curvature. Its one-dimension…