Biconfluent Heun equation in quantum chemistry: Harmonium and related systems

J Karwowski, HA Witek - Theoretical Chemistry Accounts, 2014 - Springer
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Fibrillar gels via the self-assembly of poly (L-glutamate)-based statistical copolymers

CD Vacogne, SM Brosnan, A Masic, H Schlaad - Polymer Chemistry, 2015 - pubs.rsc.org
Polypeptides having secondary structures often undergo self-assembly which can extend
over multiple length scales. Poly (γ-benzyl-L-glutamate)(PBLG), for example, folds into α …

Coordinate systems and analytic expansions for three-body atomic wavefunctions. I. Partial summation for the Fock expansion in hyperspherical coordinates

PC Abbott, EN Maslen - Journal of Physics A: Mathematical and …, 1987 - iopscience.iop.org
A survey of analytic techniques for solving the two-electron atomic Schrodinger equation is
presented. The hyperspherical formalism is introduced and specialised to the case of two …

Angular Fock coefficients: Refinement and further development

EZ Liverts, N Barnea - Physical Review A, 2015 - APS
The angular coefficients ψ k, p (α, θ) of the Fock expansion characterizing the S-state wave
function of the two-electron atomic system are calculated in hyperspherical angular …

Reduction formulae for generalised hypergeometric functions of one variable

JE Gottschalk, EN Maslen - Journal of Physics A: Mathematical …, 1988 - iopscience.iop.org
Abstract Series of gamma functions can usually be expressed as generalised
hypergeometric functions of one or more variables, providing a tool for classifying series …

Coordinate systems and analytic expansions for three-body atomic wavefunctions. III. Derivative continuity via solutions to Laplace's equation

JE Gottschalk, EN Maslen - Journal of Physics A: Mathematical …, 1987 - iopscience.iop.org
Terms in a few-particle wavefunction, written as an expansion of homogeneous functions,
are derived by a method which resembles standard techniques for solving differential …

Asymptotic wavefunctions for two-electron systems

SH Patil - Journal of Physics B: Atomic, Molecular and Optical …, 1990 - iopscience.iop.org
The author has evaluated the first five terms in the asymptotic series for the wavefunctions of
two-electron systems. The general approach is also useful for evaluating perturbed …

Collinear configuration of the helium atom and two-electron ions

EZ Liverts, R Krivec, N Barnea - Annals of Physics, 2020 - Elsevier
Collinear configurations of the helium-like atomic systems, relevant, eg, for the quasifree
mechanism of the double photoionization of helium, are studied, parameterized by the …

Explicit Green operators for quantum mechanical Hamiltonians. II. Edge-type singularities of the helium atom

HJ Flad, G Flad-Harutyunyan… - Asian-European Journal …, 2020 - World Scientific
We extend our approach of asymptotic parametrix construction for Hamiltonian operators
from conical to edge-type singularities which is applicable to coalescence points of two …

[HTML][HTML] Communication: Three-electron coalescence points in two and three dimensions

PF Loos, NJ Bloomfield, PMW Gill - The Journal of Chemical Physics, 2015 - pubs.aip.org
The form of the wave function at three-electron coalescence points is examined for several
spin states using an alternative method to the usual Fock expansion. We find that, in two-and …