Theory and application of explicitly correlated Gaussians

Jim Mitroy, Sergiy Bubin, Wataru Horiuchi, Yasuyuki Suzuki, Ludwik Adamowicz, Wojciech Cencek, Krzysztof Szalewicz, Jacek Komasa, D. Blume, Kálmán Varga

Research output: Contribution to journalArticle

148 Citations (Scopus)

Abstract

The variational method complemented with the use of explicitly correlated Gaussian basis functions is one of the most powerful approaches currently used for calculating the properties of few-body systems. Despite its conceptual simplicity, the method offers great flexibility, high accuracy, and can be used to study diverse quantum systems, ranging from small atoms and molecules to light nuclei, hadrons, quantum dots, and Efimov systems. The basic theoretical foundations are discussed, recent advances in the applications of explicitly correlated Gaussians in physics and chemistry are reviewed, and the strengths and weaknesses of the explicitly correlated Gaussians approach are compared with other few-body techniques.

Original languageEnglish
Pages (from-to)693-749
Number of pages57
JournalReviews of Modern Physics
Volume85
Issue number2
DOIs
Publication statusPublished - May 6 2013
Externally publishedYes

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hadrons
flexibility
quantum dots
chemistry
physics
nuclei
atoms
molecules

ASJC Scopus subject areas

  • Physics and Astronomy(all)

Cite this

Mitroy, J., Bubin, S., Horiuchi, W., Suzuki, Y., Adamowicz, L., Cencek, W., ... Varga, K. (2013). Theory and application of explicitly correlated Gaussians. Reviews of Modern Physics, 85(2), 693-749. https://doi.org/10.1103/RevModPhys.85.693

Theory and application of explicitly correlated Gaussians. / Mitroy, Jim; Bubin, Sergiy; Horiuchi, Wataru; Suzuki, Yasuyuki; Adamowicz, Ludwik; Cencek, Wojciech; Szalewicz, Krzysztof; Komasa, Jacek; Blume, D.; Varga, Kálmán.

In: Reviews of Modern Physics, Vol. 85, No. 2, 06.05.2013, p. 693-749.

Research output: Contribution to journalArticle

Mitroy, J, Bubin, S, Horiuchi, W, Suzuki, Y, Adamowicz, L, Cencek, W, Szalewicz, K, Komasa, J, Blume, D & Varga, K 2013, 'Theory and application of explicitly correlated Gaussians', Reviews of Modern Physics, vol. 85, no. 2, pp. 693-749. https://doi.org/10.1103/RevModPhys.85.693
Mitroy J, Bubin S, Horiuchi W, Suzuki Y, Adamowicz L, Cencek W et al. Theory and application of explicitly correlated Gaussians. Reviews of Modern Physics. 2013 May 6;85(2):693-749. https://doi.org/10.1103/RevModPhys.85.693
Mitroy, Jim ; Bubin, Sergiy ; Horiuchi, Wataru ; Suzuki, Yasuyuki ; Adamowicz, Ludwik ; Cencek, Wojciech ; Szalewicz, Krzysztof ; Komasa, Jacek ; Blume, D. ; Varga, Kálmán. / Theory and application of explicitly correlated Gaussians. In: Reviews of Modern Physics. 2013 ; Vol. 85, No. 2. pp. 693-749.
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