Ground State of Liquid Helium—Boson Solutions for Mass 3 and 4

1967 ◽  
Vol 157 (1) ◽  
pp. 190-190 ◽  
Author(s):  
Walter E. Massey
Keyword(s):  
Liquid Helium ◽  
Ground State

Ground State of Two-Dimensional Liquid Helium

1972 ◽  
Vol 6 (5) ◽  
pp. 1942-1947 ◽  
Author(s):  
Michael D. Miller ◽  
Chia-Wei Woo ◽  
Charles E. Campbell
Keyword(s):  
Liquid Helium ◽  
Ground State ◽  
Two Dimensional

Ground state of liquid helium-3: off-shell effects due to non-local potentials

Pramana ◽  
1976 ◽  
Vol 6 (6) ◽  
pp. 373-382
Author(s):  
Y S T Rao ◽  
I Rama Rao
Keyword(s):  
Liquid Helium ◽  
Ground State ◽  
Shell Effects ◽  
Non Local ◽  
Local Potentials ◽  
Helium 3

Paired-Phonon Analysis for the Ground State and Low Excited States of Liquid Helium

1969 ◽  
Vol 188 (1) ◽  
pp. 396-409 ◽  
Author(s):  
C. E. Campbell ◽  
E. Feenberg
Keyword(s):  
Liquid Helium ◽  
Excited States ◽  
Ground State

scholarly journals A MICROSCOPIC LOOK AT LIQUID HELIUM: THE 3He IMPURITY CASE

2001 ◽  
Vol 15 (10n11) ◽  
pp. 1575-1590
Author(s):  
A. POLLS ◽  
A. FABROCINI
Keyword(s):  
Monte Carlo ◽  
Liquid Helium ◽  
Basis Function ◽  
Ground State ◽  
Interatomic Interaction ◽  
Many Body ◽  
Excitation Energies ◽  
Momentum Range ◽  
Particle Correlation ◽  
Correlation Operator

The description of the properties of liquid Helium is a challenge for any microscopic many-body theory. In this context, we study the ground state and the excitation spectrum of one 3 He impurity in liquid 4 He at T=0 with the aim of illustrating the power of the correlated basis function formalism in describing heavily correlated systems. The strong interatomic interaction and the large density require the theory to be pushed to a high degree of sophistication. A many-body correlation operator containing explicit two- and three-particle correlation functions is needed to obtain a realistic ground state wave function, whereas a perturbative expansion including up to two phonon correlated states must be enforced to study the impurity excitation energies. The theory describes accurately the experimental spectrum along all the available momentum range. As empirically shown by the experiments, a marked deviation from the quadratic Landau-Pomeranchuck behavior is found and the momentum dependent effective mass of the impurity increases of ~50% at q~1.7 Å-1 with respect to its q=0 value. Although the main emphasis is given to the correlated basis function theory, we present also comparisons with other methods, as diffusion Monte Carlo, variational Monte Carlo with shadow wave functions and time dependent correlations.

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