Testing Monte Carlo methods for path integrals in some quantum mechanical problems

E. V. Shuryak; O. V. Zhirov

doi:10.1016/0550-3213(84)90401-2

Testing Monte Carlo methods for path integrals in some quantum mechanical problems

E. V. Shuryak
, O. V. Zhirov

Physics and Astronomy

Budker Institute of Nuclear Physics (BINP)

Research output: Contribution to journal › Article › peer-review

53 Scopus citations

Abstract

The metropolis algorithm for numerical simulation of configurations, widely used nowadays for lattice gauge theories, is applied to the evaluation of path integrals of quantum mechanics. Our aim is both to test the method in the case of well-known systems (nonlinear oscillator, H and He atoms) and also to consider its ability to treat more complicated systems with more degrees of freedom (light nuclei up to ⁴He). We also show how effective the method is for the evaluation of Green functions in arbitrary (multidimensional) potentials.

Original language	English
Pages (from-to)	393-406
Number of pages	14
Journal	Nuclear Physics, Section B
Volume	242
Issue number	2
DOIs	https://doi.org/10.1016/0550-3213(84)90401-2
State	Published - Aug 13 1984

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title = "Testing Monte Carlo methods for path integrals in some quantum mechanical problems",

abstract = "The metropolis algorithm for numerical simulation of configurations, widely used nowadays for lattice gauge theories, is applied to the evaluation of path integrals of quantum mechanics. Our aim is both to test the method in the case of well-known systems (nonlinear oscillator, H and He atoms) and also to consider its ability to treat more complicated systems with more degrees of freedom (light nuclei up to 4He). We also show how effective the method is for the evaluation of Green functions in arbitrary (multidimensional) potentials.",

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AB - The metropolis algorithm for numerical simulation of configurations, widely used nowadays for lattice gauge theories, is applied to the evaluation of path integrals of quantum mechanics. Our aim is both to test the method in the case of well-known systems (nonlinear oscillator, H and He atoms) and also to consider its ability to treat more complicated systems with more degrees of freedom (light nuclei up to 4He). We also show how effective the method is for the evaluation of Green functions in arbitrary (multidimensional) potentials.

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Testing Monte Carlo methods for path integrals in some quantum mechanical problems

Abstract

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