Generalized coherent states for solvable quantum systems with degenerate discrete spectra and their nonclassical properties

► We introduce new generalized coherent states for with degenerated quantum systems. ► We study some non-classicality features of the introduced states. ► Number-phase entropic uncertainty relations of these states are investigated. ► We apply the presented formalism to two particular degenerated quantum systems. ► We also study the time evolution of non-classical properties of the introduced states.