  We study the Quasinormal Modes (QNMs) of the Schwarzschild black hole
surrounded by a quintessence field after implementing the quantum corrections
to its solution as required by the Generalised Uncertainty Principle (GUP). We
analyse the dependence of the QNMs on the deformation parameters of GUP as well
as on the quintessence parameter. In most cases the QNMs show the appreciable
dependency on these parameters. For a better idea of the accuracy of
calculations of QNMs, we compare the results of the QNMs obtained via Mashhoon
method with the 6th order WKB method. A good agreement between these two
methods of QNM calculations is seen depending on the different factors.
Further, we study the thermodynamic properties of the GUP-corrected
Schwarzschild black hole and check for any dependence with the deformation
parameters and the quintessence parameter. In particular, we compute the
Hawking temperature, heat capacity and entropy for the black hole and analyse
the results graphically to show the dependency of the thermodynamic properties
on the said parameters. We have seen that the thermodynamic properties of black
holes also depend noticeably on the model parameters in most cases. Black hole
remnants have been studied and it is shown that the possible existence of
remnant radius as well as remnant temperature depends on the deformations
introduced. However, it is observed that the GUP-corrected black hole
constructed here can not become a remnant.
