The dependence of the energy spectrum of a quantum particle in an infinite V-shaped potential well on its asymmetry parameter has been analyzed. The relationship between the occurrence of this dependence and different penetration depths of the quantum particle into classically forbidden regions under the walls of the well has been demonstrated. In particular, the estimate of the energy spectrum using the Bohr—Sommerfeld quantization rule, which does not take into account the penetration of particles into sub-barrier regions, shows that there is no dependence on the well asymmetry parameter. The exception is the transition to the case of a vertical wall, for which the semiclassical approach is characterized by a special boundary condition. The results obtained have been illustrated by the dependence of the tunneling current of a Brownian motor (ratchet) with an applied fluctuating force on the asymmetry of the sawtooth potential. With a certain selection of ratchet parameters, taking the zero-point oscillations into account describes the occurrence of a particle current in the direction opposite to that obtained without this account.