  A new semiclassical approach to linear (L) and nonlinear (NL) one-dimensional
Schr\"odinger equation (SE) is presented. Unlike the usual WKB solution, our
solution does not diverge at the classical turning point. For LSE, our
zeroth-order solution, when expanded in powers of \hbar, agrees with the usual
WKB solution. For NLSE, our zeroth-order solution includes quantum corrections
to the Thomas-Fermi solution, thereby giving a smoothly decaying wave function
into the forbidden region.
