$C_{\lambda }$-extended oscillator algebras and some of their deformations and applications to quantum mechanics

C. Quesne, N. Vansteenkiste

$C_{\lambda }$-extended oscillator algebras generalizing the Calogero-Vasiliev algebra, where $C_{\lambda }$ is the cyclic group of order $\lambda$, are studied both from mathematical and applied viewpoin…