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SPEEDUP Code for Calculation of Transition Amplitudes via the Effective Action Approach
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作者 Antun Balaz Ivana Vidanovic +3 位作者 danica stojiljkovic Dusan Vudragovic Aleksandar Belic Aleksandar Bogojevic Scientific 《Communications in Computational Physics》 SCIE 2012年第3期739-755,共17页
We present Path Integral Monte Carlo C code for calculation of quantum mechanical transition amplitudes for 1Dmodels.The SPEEDUP C code is based on the use of higher-order short-time effective actions and implemented ... We present Path Integral Monte Carlo C code for calculation of quantum mechanical transition amplitudes for 1Dmodels.The 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 values.Symbolic derivation of higher-order effective actions is implemented in SPEEDUP Mathematica codes,using the recursive Schrodinger 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. 展开更多
关键词 Transition amplitude effective action path integrals Monte Carlo
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