TY - JOUR
T1 - SPEEDUP Code for Calculation of Transition Amplitudes via the Effective Action Approach
AU - Balaž , Antun
AU - Vidanović , Ivana
AU - Stojiljković , Danica
AU - Vudragović , Dušan
AU - Belić , Aleksandar
AU - Bogojević , Aleksandar
JO - Communications in Computational Physics
VL - 3
SP - 739
EP - 755
PY - 2012
DA - 2012/11
SN - 11
DO - http://doi.org/10.4208/cicp.131210.180411a
UR - https://global-sci.org/intro/article_detail/cicp/7389.html
KW - 
AB - <p style="text-align: justify;">We present Path Integral Monte Carlo C code for calculation of quantum
mechanical transition amplitudes for 1D models. The SPEEDUP C code is based on the
use of higher-order short-time effective actions and implemented to the maximal order $p$=18 in the time of propagation (Monte Carlo time step), which substantially improves
the convergence of discretized amplitudes to their exact continuum values. Symbolic
derivation of higher-order effective actions is implemented in SPEEDUP Mathematica
codes, using the recursive Schrödinger equation approach. In addition to the general
1D quantum theory, developed Mathematica codes are capable of calculating effective
actions for specific models, for general 2D and 3D potentials, as well as for a general
many-body theory in arbitrary number of spatial dimensions.</p>