[en] Applying the Jacobi method of second variation to the Bianchi IX system in Misner variables ($\mathrm{\alpha <!--\; ??\; -->},{\mathrm{\beta <!--\; ??\; -->}}_{+},{\mathrm{\beta <!--\; ??\; -->}}_{-<!--\; ???\; -->}$), we specialize to the Taub space background (${\mathrm{\beta <!--\; ??\; -->}}_{-<!--\; ???\; -->}=0$) and obtain the governing equations for linearized homogeneous perturbations (${\mathrm{\alpha <!--\; ??\; -->}}^{\mathrm{\prime <!--\; ???\; -->}},{\mathrm{\beta <!--\; ??\; -->}}_{+}^{\mathrm{\prime <!--\; ???\; -->}},{\mathrm{\beta <!--\; ??\; -->}}_{-<!--\; ???\; -->}^{\mathrm{\prime <!--\; ???\; -->}}$) thereabout. Employing a canonical transformation, we isolate two decoupled gauge-invariant linearized variables (${\mathrm{\beta <!--\; ??\; -->}}_{-<!--\; ???\; -->}^{\mathrm{\prime <!--\; ???\; -->}}$ and $Q_{+}^{\mathrm{\prime <!--\; ???\; -->}}=p_{+}{\mathrm{\alpha <!--\; ??\; -->}}^{\mathrm{\prime <!--\; ???\; -->}}+p_{\mathrm{\alpha <!--\; ??\; -->}}{\mathrm{\beta <!--\; ??\; -->}}_{+}^{\mathrm{\prime <!--\; ???\; -->}}$), together with their conjugate momenta and linearized Hamiltonians. These two linearized Hamiltonians are of time-dependent harmonic oscillator form, and we quantize them to get time-dependent Schrödinger equations. For the case of $Q_{+}^{\mathrm{\prime <!--\; ???\; -->}}$, we are able to solve for the discrete solutions and the exact quantum squeezed states. (paper)