External non-minimally coupled scalar and spinor field perturbations have been studied in a (1 + 1) dimensional dilatonic blackhole spacetime (Mandal et al. in Mod Phys Lett A 6:1685–1692. https://doi.org/10.1142/S0217732391001822, 1991; Witten in Phys Rev D 44:314–324. https://doi.org/10.1103/PhysRevD.44.314, 1991). Exact analytical expressions of the quasi-normal mode frequencies have been found for both the cases. In the scalar perturbations the quasi-normal mode frequencies turn out to be purely imaginary and negative. Furthermore we have found that the quasi-normal frequencies for Dirac field exhibit both real and imaginary part. The QNM frequencies decay monotonically with the overtone number under certain class of the blackhole parameters. The decay profile ensures the stability of the blackhole spacetime under these perturbations.

外部非最小耦合标量场和旋量场扰动已在 (1 + 1) 维膨胀黑洞时空中进行了研究（Mandal 等人在 Mod Phys Lett A 6:1685–1692 中。https://doi.org/10.1142/ S0217732391001822，1991；Witten，Phys Rev D 44：314–324。https://doi.org/10.1103/PhysRevD.44.314，1991）。对于这两种情况都找到了准简正模频率的精确解析表达式。在标量扰动中，准简正模频率结果是纯虚数和负数。此外，我们发现狄拉克场的准正规频率同时具有实部和虚部。在某类黑洞参数下，QNM 频率随泛音数单调衰减。衰变剖面确保了黑洞时空在这些扰动下的稳定性。