Numerical path integration without Monte Carlo
Christopher C. Gerry, J. Kiefer
A numerical procedure for evaluating Feynman’s path integral in imaginary time without using the Monte Carlo ‘‘heat bath’’ method is discussed. The method is essentially iterative matrix multiplication and bears a close resemblance to the Feynman procedure of summing all paths by time slicing and then integrating. The procedure is used to determine ground-state energy eigenvalues for the harmonic oscillator, double-well anharmonic oscillator, and the Morse oscillator.
American Journal of Physics•Nov 1, 1988•8 citations