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quant-ph2001
Quasi-uniform approximation for the radial Schrödinger equation with power-law potentials
V. V. Kudryashov, Yu. V. Vanne
The uniformly valid approximation to solutions of the radial Schrödinger equation with power-law potentials are obtained by means of the explicit summation of the leading constitue…
quant-ph2001
Explicit summation of the constituent WKB series and new approximate wave functions
Vladimir V. Kudryashov, Yulian V. Vanne
The independent solutions of the one-dimensional Schrödinger equation are approximated by means of the explicit summation of the leading constituent WKB series. The continuous matc…