CLASSICAL REPRESENTATION FOR ONE-DIMENSIONAL SCHRODINGER-EQUATION

Using the Abel transform for the squared wave function, we build a new representation for one-dimensional Schrodinger equation, which can naturally be called classical, since the role of the kernel of the corresponding integral operator is played by the probability density of a classical state of energy epsilon in potential V(x). The meaning of this representation is similar to the Wigner distribution method, although it has crucial differences in its formalism.