Relativistic path integral Monte Carlo: Relativistic oscillator problem

Aleksandr Ivanov (), Alexander Novoselov and Oleg Pavlovsky
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Aleksandr Ivanov: Department of Physics, Moscow State University, Moscow 119991, Russia
Alexander Novoselov: Institute for Theoretical Problems of Microphysics, Moscow State University, Moscow 119991, Russia†Institute for Theoretical and Experimental Physics, Moscow 117218, Russia
Oleg Pavlovsky: Institute for Theoretical Problems of Microphysics, Moscow State University, Moscow 119991, Russia†Institute for Theoretical and Experimental Physics, Moscow 117218, Russia‡Far Eastern Federal University, School of Biomedicine, Vladivosok 690950, Russia

International Journal of Modern Physics C (IJMPC), 2016, vol. 27, issue 11, 1-14

Abstract: Relativistic generalization of path integral Monte Carlo (PIMC) method has been proposed. The problem of relativistic oscillator has been studied in the framework of this approach. Ultra-relativistic and nonrelativistic limits have been discussed. We show that PIMC method can be effectively used for investigation of relativistic systems.

Keywords: Path integral; Monte Carlo algorithms; relativistic effects; oscillator (search for similar items in EconPapers)
Date: 2016
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DOI: 10.1142/S0129183116501333

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