Abstract
A local harmonic (LH) propagator has been derived through an adequate splitting of the Hamiltonian operator. This propagator has been applied to study several quantum systems including a quartic oscillator, a double well potential, and the Morse potential. We have calculated equilibrium and dynamical properties using the transfer matrix path integral method. It has been verified that the LH propagator is significantly more accurate than other propagators proposed by several studies. For the LH propagator, higher order corrections to the Trotter formula lead to an excellent short time approximation. It is suggested that the LH propagator can be of wide interest for path integral studies of quantum systems.
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