Quantum particle on Minkowski plane

The problem of nonrelativistic quantum particle on Minkowski plane is discussed. The corresponding Schrödinger equation for eigenstates is obtained with the help of Beltrami-Laplas operator of pseudoeuclidean plane. The infinitely high poten- tial barriers are placed on isotropic lines. In contrast to the standard problem on euclidean plane where there is only continuous energy spectrum, the particle on Minkowski plane has discrete energy eigenvalues as well.