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Abstract
Abstract The quantum phase formalism, suggested earlier (Abarenov A.V. and Stolyarov A.V. J. Phys. B, (1990) 23 2419-26), for the solution of the one-dimensional (1D) eigenvalue problem, is applied for eigenfunctions and its overlap integrals. The quantum phase and amplitude functions of the offered method is found to concide with semiclassical ones under standart semiclassical conditions (p' << p). It made possible to obtain the closed form of wavefunctions and energies, which is equivalent to those of h2 order W.K.B. expansion. The method is the most efficient for strongly oscillating eigenfunctions, i.e. in the high-energy limit.
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