Rev. Mod. Phys. 85, 693 (2013) - Theory and application of explicitly correlated Gaussians

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, and Kálmán Varga

Rev. Mod. Phys. 85, 693 – Published 6 May 2013

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.

Received 20 December 2011

DOI:https://doi.org/10.1103/RevModPhys.85.693

© 2013 American Physical Society

Authors & Affiliations

ARC Center for Antimatter-Matter Studies, School of Engineering, Charles Darwin University, Darwin NT 0909, Australia

Department of Physics and Astronomy, Vanderbilt University, Nashville, Tennessee 37235, USA

Wataru Horiuchi

Department of Physics, Hokkaido University, Sapporo 060-0810, Japan

Yasuyuki Suzuki

Department of Physics, Niigata University, Niigata 950-2181, Japan, and RIKEN Nishina Center, Wako 351-0198, Japan

Ludwik Adamowicz

Department of Chemistry and Biochemistry and Department of Physics, University of Arizona, Tucson, Arizona 85721, USA

Wojciech Cencek and Krzysztof Szalewicz

Department of Physics and Astronomy, University of Delaware, Newark, Delaware 19716, USA

Faculty of Chemistry, Adam Mickiewicz University, Grunwaldzka 6, Poznan 60-780, Poland

Department of Physics and Astronomy, Washington State University, Pullman, Washington 99164-2814, USA

Kálmán Varga^*

Department of Physics and Astronomy, Vanderbilt University, Nashville, Tennessee 37235, USA

^*kalman.varga@vanderbilt.edu

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Issue

Vol. 85, Iss. 2 — April - June 2013

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