id	author	title	date	pages	extension	mime	words	sentence	flesch	summary	cache	txt
ap-10691	del Olmo, Mariano A.; Romaniega, Álvaro	Classical and quantum superintegrable systems on the sphere and the hyperbolic 2-space	2025	14	.pdf	application/pdf	9380	514	69	For this solution, we obtain the following expression for N−,1N+,1 + µ1: −∂2 ξ − coth ξ ∂ξ − (l2 − 1)2 − 1 4 cosh2 ξ + (Mk − 1)2 sinh2 ξ . In this case N−,2N+,2 + µ2 yields: −∂2 ξ − coth ξ ∂ξ − (l2 + 1)2 − 1 4 cosh2 ξ + (Mk − 1)2 sinh2 ξ , (97) where the parameters Mk and l2 are replaced by Mk−1 and l2 + 1, respectively.	cache/ap-10691.pdf	txt/ap-10691.txt