  We calculate perturbatively the tunneling decay rate $\Gamma$ of the
metastable phase in the quantum d=1 Ising model in a skew magnetic field near
the coexistence line $0<h_{x}<1, h_{z}\to -0$ at T=0. It is shown that $\Gamma$
oscillates in the magnetic field $h_{z}$ due to discreteness of the excitation
energy spectrum. After mapping of the obtained results onto the extreme
anisotropic d=2 Ising model at $T<T_c$, we verify in the latter model the
droplet theory predictions for the free energy analytically continued to the
metastable phase. We find also evidence for the discrete-lattice corrections in
this metastable phase free energy.
