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Kvantovaya Elektronika, 2007, Volume 37, Number 12, Pages 1091–1096 (Mi qe13668)  

This article is cited in 1 scientific paper (total in 1 paper)

Fifth Seminar in memory of D.N. Klyshko

Simulation of quantum systems by the tomography Monte Carlo method

Yu. I. Bogdanov

Insitute of Physics and Technology, Institution of Russian Academy of Sciences, Moscow

Abstract: A new method of statistical simulation of quantum systems is presented which is based on the generation of data by the Monte Carlo method and their purposeful tomography with the energy minimisation. The numerical solution of the problem is based on the optimisation of the target functional providing a compromise between the maximisation of the statistical likelihood function and the energy minimisation. The method does not involve complicated and ill-posed multidimensional computational procedures and can be used to calculate the wave functions and energies of the ground and excited stationary sates of complex quantum systems. The applications of the method are illustrated.

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English version:
Quantum Electronics, 2007, 37:12, 1091–1096

Bibliographic databases:

PACS: 03.67.Lx, 05.10.Ln
Received: 05.07.2007

Citation: Yu. I. Bogdanov, “Simulation of quantum systems by the tomography Monte Carlo method”, Kvantovaya Elektronika, 37:12 (2007), 1091–1096 [Quantum Electron., 37:12 (2007), 1091–1096]

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  • http://mi.mathnet.ru/eng/qe/v37/i12/p1091

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    Citing articles on Google Scholar: Russian citations, English citations
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    This publication is cited in the following articles:
    1. Yu. I. Bogdanov, N. A. Bogdanova, D. V. Fastovets, V. F. Lukichev, Pisma v ZhETF, 114:6 (2021), 391–399  mathnet  crossref
  • Квантовая электроника Quantum Electronics
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