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Two electrons in an external oscillator potential: Particular analytic solutions of a Coulomb correlation problem

https://doi.org/10.1103/physreva.48.3561
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Correlation in time-dependent density-functional theory
inferred← citeshttps://doi.org/10.1063/1.1535442openalex-snapshot
A new correlation functional based on a transcorrelated Hamiltonian
inferred← citeshttps://doi.org/10.1063/1.1542874openalex-snapshot
Three electrons in a harmonic oscillator potential: Pairs versus single particles
inferred← citeshttps://doi.org/10.1063/1.1574786openalex-snapshot
Two interacting electrons confined within a sphere: An accurate solution
inferred← citeshttps://doi.org/10.1063/1.1579465openalex-snapshot
Accurate adiabatic connection curve beyond the physical interaction strength
inferred← citeshttps://doi.org/10.1063/1.1647514openalex-snapshot
Quantal density functional theory of the hydrogen molecule
inferred← citeshttps://doi.org/10.1063/1.1697374openalex-snapshot
The Fisher–Shannon information plane, an electron correlation tool
inferred← citeshttps://doi.org/10.1063/1.1846655openalex-snapshot
Collective natural orbital occupancies of harmonium
inferred← citeshttps://doi.org/10.1063/1.1862237openalex-snapshot
Electron correlation in Hooke’s law atom in the high-density limit
inferred← citeshttps://doi.org/10.1063/1.1869978openalex-snapshot
A comparison of Hartree–Fock and exact diagonalization solutions for a model two-electron system
inferred← citeshttps://doi.org/10.1063/1.1940611openalex-snapshot
Non-Born–Oppenheimer treatment of the H2 Hookean molecule
inferred← citeshttps://doi.org/10.1063/1.1961312openalex-snapshot
Simulations of one- and two-electron systems by Bead-Fourier path integral molecular dynamics
inferred← citeshttps://doi.org/10.1063/1.2033747openalex-snapshot
Effect of the one-body potential on interelectronic correlation in two-electron systems
inferred← citeshttps://doi.org/10.1063/1.2131068openalex-snapshot
A study of two-electron quantum dot spectrum using discrete variable representation method
inferred← citeshttps://doi.org/10.1063/1.2137322openalex-snapshot
Simple approximants for natural orbitals of harmonium
inferred← citeshttps://doi.org/10.1063/1.2141509openalex-snapshot
On the emergence of molecular structure from atomic shape in the 1∕r2 harmonium model
inferred← citeshttps://doi.org/10.1063/1.2206183openalex-snapshot
Nonuniversality of commonly used correlation-energy density functionals
inferred← citeshttps://doi.org/10.1063/1.2222353openalex-snapshot
Exact density functionals for two-electron systems in an external magnetic field
inferred← citeshttps://doi.org/10.1063/1.2222360openalex-snapshot
Wigner molecules: Natural orbitals of strongly correlated two-electron harmonium
inferred← citeshttps://doi.org/10.1063/1.2222361openalex-snapshot
Wigner molecules: The strong-correlation limit of the three-electron harmonium
inferred← citeshttps://doi.org/10.1063/1.2733665openalex-snapshot
Local effective potential theory: Nonuniqueness of potential and wave function
inferred← citeshttps://doi.org/10.1063/1.2759202openalex-snapshot
How tight is the Lieb-Oxford bound?
inferred← citeshttps://doi.org/10.1063/1.2905214openalex-snapshot
Properties of Coulomb crystals: Rigorous results
inferred← citeshttps://doi.org/10.1063/1.3352564openalex-snapshot
First principles multielectron mixed quantum/classical simulations in the condensed phase. I. An efficient Fourier-grid method for solving the many-electron problem
inferred← citeshttps://doi.org/10.1063/1.3455706openalex-snapshot
Correlation energy of two electrons in a ball
inferred← citeshttps://doi.org/10.1063/1.3533778openalex-snapshot
Electronic structure of three-dimensional isotropic quantum dots by four-component relativistic coupled cluster methods
inferred← citeshttps://doi.org/10.1063/1.3553558openalex-snapshot
Note: The weak-correlation limit of the three-electron harmonium atom
inferred← citeshttps://doi.org/10.1063/1.360211openalex-snapshot
Electron–electron interaction in three-dimensional model quantum box
inferred← citeshttps://doi.org/10.1063/1.3679657openalex-snapshot
Robust interpolation between weak- and strong-correlation regimes of quantum systems
inferred← citeshttps://doi.org/10.1063/1.3693517openalex-snapshot
Shell models of two-dimensional Coulomb crystals: Assessment and comparison with the three-dimensional case
inferred← citeshttps://doi.org/10.1063/1.4707932openalex-snapshot
Exact expressions for ensemble functionals from particle number dependence
inferred← citeshttps://doi.org/10.1063/1.4717461openalex-snapshot
The three-electron harmonium atom: The lowest-energy doublet and quadruplet states
inferred← citeshttps://doi.org/10.1063/1.472142openalex-snapshot
Long-range asymptotic behavior of ground-state wave functions, one-matrices, and pair densities
inferred← citeshttps://doi.org/10.1063/1.477485openalex-snapshot
Elimination of Coulombic infinities through transformation of the Hamiltonian
inferred← citeshttps://doi.org/10.1063/1.478560openalex-snapshot
The He isoelectronic series and the Hooke’s law model: Correlation measures and modifications of Collins’ conjecture
inferred← citeshttps://doi.org/10.1063/1.478959openalex-snapshot
Exact high-density limit of correlation potential for two-electron density
inferred← citeshttps://doi.org/10.1063/1.481099openalex-snapshot
Adiabatic connection from accurate wave-function calculations
inferred← citeshttps://doi.org/10.1063/1.4820245openalex-snapshot
Wave function for time-dependent harmonically confined electrons in a time-dependent electric field
inferred← citeshttps://doi.org/10.1063/1.4820419openalex-snapshot
Natural occupation numbers: When do they vanish?
inferred← citeshttps://doi.org/10.1063/1.4837179openalex-snapshot
The weak-correlation limits of few-electron harmonium atoms
inferred← citeshttps://doi.org/10.1063/1.4867910openalex-snapshot
Uniform electron gases. II. The generalized local density approximation in one dimension
inferred← citeshttps://doi.org/10.1063/1.4879266openalex-snapshot
General coalescence conditions for the exact wave functions. II. Higher-order relations for many-particle systems
inferred← citeshttps://doi.org/10.1063/1.4891301openalex-snapshot
Benchmark calculations on the lowest-energy singlet, triplet, and quintet states of the four-electron harmonium atom
inferred← citeshttps://doi.org/10.1063/1.4904448openalex-snapshot
Communication: Testing and using the Lewin-Lieb bounds in density functional theory
inferred← citeshttps://doi.org/10.1063/1.4909520openalex-snapshot
Free-complement local-Schrödinger-equation method for solving the Schrödinger equation of atoms and molecules: Basic theories and features
inferred← citeshttps://doi.org/10.1063/1.4914021openalex-snapshot
The Coulomb, exchange, and correlation components of the electron-electron repulsion in harmonium atoms
inferred← citeshttps://doi.org/10.1063/1.4914171openalex-snapshot
One-electron reduced density matrices of strongly correlated harmonium atoms
inferred← citeshttps://doi.org/10.1063/1.4935374openalex-snapshot
Communication: Three-electron coalescence points in two and three dimensions
inferred← citeshttps://doi.org/10.1063/1.4936583openalex-snapshot
Robust validation of approximate 1-matrix functionals with few-electron harmonium atoms
inferred← citeshttps://doi.org/10.1063/1.4950845openalex-snapshot
Communication: Near-locality of exchange and correlation density functionals for 1- and 2-electron systems
inferred← citeshttps://doi.org/10.1063/1.4953677openalex-snapshot
The order of three lowest-energy states of the six-electron harmonium at small force constant
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