Abstract
A practical method is developed for calculating numerically one-dimensional path integrals for an arbitrary potential $V(x)$. For the oscillator potential $V(x)=\frac{k{x}^{2}}{2}$ the well-known analytic solution is obtained. To illustrate the numerical convergence of this method the path integral for the Ginzburg-Landau potential, $V(x)=\ensuremath{-}\frac{A{x}^{2}}{2}+\frac{B{x}^{4}}{4}$, is calculated over a range of the positive constants $A$ and $B$ and compared with numerical solutions of the Schr\"odinger equation.
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