Explicitly Correlated Gaussians with Tensor Pre-factors: Analytic Matrix Elements

D. V. Fedorov; A. F. Teilmann; M. C. Østerlund; T. L. Norrbohm

doi:10.1007/s00601-024-01945-x

Explicitly Correlated Gaussians with Tensor Pre-factors: Analytic Matrix Elements

D. V. Fedorov^*, A. F. Teilmann, M. C. Østerlund, T. L. Norrbohm

^*Corresponding author for this work

Research output: Contribution to journal/Conference contribution in journal/Contribution to newspaper › Journal article › Research

Abstract

We consider a specific form of explicitly correlated Gaussians—with tensor pre-factors—which appear naturally when dealing with certain few-body systems in nuclear and particle physics. We derive analytic matrix elements with these Gaussians—overlap, kinetic energy, and Coulomb potential—to be used in variational calculations of those systems. We also perform a quick test of the derived formulae by applying them to p- and d-waves of the hydrogen atom.

Original language	English
Book series	Few-Body Systems
Volume	65
Issue	3
ISSN	0177-7963
DOIs	https://doi.org/10.1007/s00601-024-01945-x
Publication status	Published - Sept 2024

Access to Document

10.1007/s00601-024-01945-xLicence: CC BY

Check availability with the Royal Danish Library

Cite this

@article{4d555da2081d41479d10371203d300f6,

title = "Explicitly Correlated Gaussians with Tensor Pre-factors: Analytic Matrix Elements",

abstract = "We consider a specific form of explicitly correlated Gaussians—with tensor pre-factors—which appear naturally when dealing with certain few-body systems in nuclear and particle physics. We derive analytic matrix elements with these Gaussians—overlap, kinetic energy, and Coulomb potential—to be used in variational calculations of those systems. We also perform a quick test of the derived formulae by applying them to p- and d-waves of the hydrogen atom.",

author = "Fedorov, {D. V.} and Teilmann, {A. F.} and {\O}sterlund, {M. C.} and Norrbohm, {T. L.}",

note = "Publisher Copyright: {\textcopyright} The Author(s) 2024.",

year = "2024",

month = sep,

doi = "10.1007/s00601-024-01945-x",

language = "English",

volume = "65",

journal = "Few-Body Systems",

issn = "0177-7963",

publisher = "Springer Wien",

number = "3",

}

TY - JOUR

T1 - Explicitly Correlated Gaussians with Tensor Pre-factors

T2 - Analytic Matrix Elements

AU - Fedorov, D. V.

AU - Teilmann, A. F.

AU - Østerlund, M. C.

AU - Norrbohm, T. L.

PY - 2024/9

Y1 - 2024/9

N2 - We consider a specific form of explicitly correlated Gaussians—with tensor pre-factors—which appear naturally when dealing with certain few-body systems in nuclear and particle physics. We derive analytic matrix elements with these Gaussians—overlap, kinetic energy, and Coulomb potential—to be used in variational calculations of those systems. We also perform a quick test of the derived formulae by applying them to p- and d-waves of the hydrogen atom.

AB - We consider a specific form of explicitly correlated Gaussians—with tensor pre-factors—which appear naturally when dealing with certain few-body systems in nuclear and particle physics. We derive analytic matrix elements with these Gaussians—overlap, kinetic energy, and Coulomb potential—to be used in variational calculations of those systems. We also perform a quick test of the derived formulae by applying them to p- and d-waves of the hydrogen atom.

UR - http://www.scopus.com/inward/record.url?scp=85198850392&partnerID=8YFLogxK

U2 - 10.1007/s00601-024-01945-x

DO - 10.1007/s00601-024-01945-x

M3 - Journal article

AN - SCOPUS:85198850392

SN - 0177-7963

VL - 65

JO - Few-Body Systems

JF - Few-Body Systems

IS - 3

ER -

Explicitly Correlated Gaussians with Tensor Pre-factors: Analytic Matrix Elements

Abstract

Access to Document

Check availability with the Royal Danish Library

Other files and links

Fingerprint

Cite this