Exact Solutions of Multidimensional Schroedinger Equation with Polynomial Potentials

摘要

Three classes of exact solutions for the discrete spectrum of the two-dimensional Schroedinger equation with special polynomial potentials are constructed. Various types of the node surfaces in wave functions are found. It is shown that there are some node surfaces which do not change under variations of the asymmetry parameter of the potential. Multidimensional case is discussed in brief. 7 refs.; 1 fig. (Atomindex citation 18:091332)