SPEEDUP Code for Calculation of Transition Amplitudes via the Effective Action Approach

作     者：Antun Balaz Ivana Vidanovic Danica Stojiljkovic Dusan Vudragovic Aleksandar Belic Aleksandar Bogojevic Scientific 

作者机构：Computing LaboratoryInstitute of Physics BelgradeUniversity of BelgradePregrevica 11811080 BelgradeSerbia. 

出 版 物：《Communications in Computational Physics》 (计算物理通讯（英文）)

年 卷 期：2012年第11卷第3期

页      面：739-755页

核心收录：

学科分类：07[理学] 0701[理学-数学] 070101[理学-基础数学] 

基　　金：The authors gratefully acknowledge useful discussions with Axel Pelster and Vladimir Slavni´c.This work was supported in part by the Ministry of Education and Science of the Republic of Serbia under project No.ON171017 and bilateral project NAD-BEC funded jointly with the German Academic Exchange Service(DAAD) and by the European Commission under EU FP7 projects PRACE-1IP HP-SEE and EGI-InSPIRE 

主　　题：Transition amplitude effective action path integrals Monte Carlo 

摘      要：We present Path Integral Monte Carlo C code for calculation of quantum mechanical transition amplitudes for *** SPEEDUP C code is based on the use of higher-order short-time effective actions and implemented to themaximal order p=18 in the time of propagation(Monte Carlo time step),which substantially improves the convergence of discretized amplitudes to their exact continuum *** derivation of higher-order effective actions is implemented in SPEEDUP Mathematica codes,using the recursive Schrodinger equation *** 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.