Extension of the Hartree method to strongly interacting systems

JB Aviles Jr - Annals of Physics, 1958 - Elsevier
A trial solution constructed from two-body functions is applied to a variational treatment of
the many-body problem with strong forces. The expectation value of the energy for Bose …

Many-body problem with strong forces

R Jastrow - Physical Review, 1955 - APS
A trial solution constructed from two-particle functions is applied to the problem of the N-
particle system with strong interactions. In a variational treatment based on this wave …

The many-body problem and the Brueckner approximation

LS Rodberg - Annals of Physics, 1957 - Elsevier
The many-body problem has recently been studied by Brueckner and others using a self-
consistent-field approach which includes the effects of two-body correlations. Unlike the …

Variational calculations of simple Bose systems

VR Pandharipande, KE Schmidt - Physical Review A, 1977 - APS
Variational calculations of the ground-state energy of hard-sphere, helium-4, Coulomb, and
nuclear Yukawa fluids are carried out. The long-range part v (r> d) and a constant part λ at r< …

Ground state of a Bose system of hard spheres

TT Wu - Physical Review, 1959 - APS
It is shown that the pseudopotential method can be extended to yield further terms in the low-
density expansion of the ground-state energy of a system of Boltzmann or Bose particles …

Energy of a many-particle system

WB Riesenfeld, KM Watson - Physical Review, 1956 - APS
A formulation of the energy eigenvalue problem for a many-particle system is presented in
several alternative forms and, following Brueckner and his collaborators, the energy of the …

Quantum-mechanical many-body problem with hard-sphere interaction

K Huang, CN Yang - Physical review, 1957 - APS
The system under consideration is an N-particle quantum-mechanical system enclosed in a
volume V, in which the particles interact via two-body hard-sphere potentials, with hard …

The quantum-mechanical many-body problem: The Bose gas

EH Lieb, R Seiringer, JP Solovej… - Condensed Matter Physics …, 2004 - Springer
Now that the low temperature properties of quantum-mechanical many-body systems
(bosons) at low density, ρ, can be examined experimentally it is appropriate to revisit some …

Hard-core insertion in the many-body problem

JK Percus, GJ Yevick - Physical Review, 1964 - APS
Under many conditions, short-range interparticle forces may be simulated by hard cores.
The excluded-volume condition which this implies is equivalent to a single restriction upon …

The collective treatment of many-body systems: Iii

T Gaskell - Proceedings of the Physical Society, 1962 - iopscience.iop.org
In a previous paper a trial wave function of the form ψ= DII i< if (x ij) was used variationally to
calculate the ground-state energy of an interacting electron gas, D being a determinant of …