LOCV CALCULATIONS FOR POLARIZED LIQUID 3He: THE EFFECT OF THREE-BODY CLUSTER ENERGY

2011 ◽  
Vol 25 (17) ◽  
pp. 2355-2363 ◽  
Author(s):  
G. H. BORDBAR ◽  
S. MOHSENIPOUR ◽  
M. J. KARIMI
Keyword(s):  
Phase Transition ◽  
Magnetic Susceptibility ◽  
Ground State ◽  
State Energy ◽  
Ferromagnetic Phase ◽  
Energy Contribution ◽  
Ferromagnetic Phase Transition ◽  
Cluster Energy ◽  
Three Body ◽  
Body Energy

We have used the lowest order constrained variational (LOCV) method to calculate some of the ground state properties of the polarized liquid 3 He by inclusion of the three-body cluster energy contribution. It is shown that the contribution of the three-body cluster term for the ground state energy of this system is substantial, especially at high densities. It is also shown that the inclusion of the three-body energy contribution improves our result for the binding energy of the liquid 3 He . It is seen that the magnitude of the three-body cluster energy decreases by increasing the polarization. The magnetic susceptibility of the liquid 3 He has also been computed, showing no spontaneous ferromagnetic phase transition.

Possible ferromagnetism of dense quark matter

2018 ◽  
Vol 96 (11) ◽  
pp. 1163-1172
Author(s):  
Kausik Pal
Keyword(s):  
Phase Transition ◽  
Magnetic Properties ◽  
Magnetic Susceptibility ◽  
Single Particle ◽  
Ground State ◽  
Quark Matter ◽  
State Energy ◽  
Magnetic Instability ◽  
Dense Quark Matter ◽  
Spin Polarized

The cardinal focus of the present review is to investigate the possibility of the para-ferro phase transition of dense quark matter. For these, the calculation of the single-particle energies, ground state energy (GSE) densities, and spin susceptibility χ of degenerate quark matter with one gluon exchange interaction in terms of spin-dependent Landau parameters (LPs) have been presented. The expressions for the GSE and χ of cold and dense spin-polarized quark matter have been derived with corrections due to correlation. Furthermore, the magnetic properties of spin polarized quark matter have been discussed by evaluating the magnetization ⟨M⟩ and magnetic susceptibility χM in terms of LPs. Finally, the possibility of magnetic instability has been revealed by studying the density dependence of ⟨M⟩ and χM.

THE ANGULAR MOMENTUM DEPENDENT CALCULATION OF THE GROUND STATE ENERGY OF LIQUID 3He

2005 ◽  
Vol 19 (30) ◽  
pp. 1793-1802 ◽  
Author(s):  
M. MODARRES
Keyword(s):  
Angular Momentum ◽  
Ground State Energy ◽  
Ground State ◽  
Correlation Functions ◽  
State Energy ◽  
Interatomic Potentials ◽  
Channel Correlation ◽  
P Waves ◽  
Effective Interactions ◽  
Three Body

We investigate the possible angular momentum, l, dependence of the ground state energy of normal liquid 3 He . The method of lowest order constrained variational (LOCV) which includes the three-body cluster energy and normalization constraint (LOCVE) is used with angular momentum dependent two-body correlation functions. A functional minimization is performed with respect to each l-channel correlation function. It is shown that this dependence increases the binding energy of liquid 3 He by 8% with respect to calculations without angular momentum dependent correlation functions. The l=0 state has completely different behavior with respect to other l-channels. It is also found that the main contribution from potential energy comes from the l=1 state (p-waves) and the effect of l≥11 is less than about 0.1%. The effective interactions and two-body correlations in different channels are being discussed. Finally we conclude that this l-dependence can be verified experimentally by looking into the magnetization properties of liquid helium 3 and interatomic potentials.

Ferromagnetic phase transition in ultra-thin films

2006 ◽  
Vol 243 (6) ◽  
pp. 1352-1359 ◽  
Author(s):  
S. Tuleja ◽  
J. Kecer ◽  
V. Ilkovič
Keyword(s):  
Thin Films ◽  
Phase Transition ◽  
Ferromagnetic Phase ◽  
Ferromagnetic Phase Transition

Raman spectroscopy ofSrRuO3near the paramagnetic-to-ferromagnetic phase transition

1999 ◽  
Vol 59 (1) ◽  
pp. 364-368 ◽  
Author(s):  
M. N. Iliev ◽  
A. P. Litvinchuk ◽  
H.-G. Lee ◽  
C. L. Chen ◽  
M. L. Dezaneti ◽  
...  
Keyword(s):  
Phase Transition ◽  
Raman Spectroscopy ◽  
Ferromagnetic Phase ◽  
Ferromagnetic Phase Transition

scholarly journals Zur Lösung des quantenmechanischen Drei-Körper-Problems

1968 ◽  
Vol 23 (4) ◽  
pp. 579-596
Author(s):  
H. Ruder
Keyword(s):  
Ground State ◽  
Physical Meaning ◽  
State Energy ◽  
Differential Operators ◽  
Perturbation Expansion ◽  
Reflection Symmetry ◽  
Body System ◽  
Rapid Convergence ◽  
Symmetry Properties ◽  
Three Body

For the description of a three-body-system 6 coordinates are introduced which take full advantage of the symmetry properties of the system. The Schrödinger equation in these coordinates is derived. Using rotational and reflection symmetry one obtains a set of l respectively l+1 coupled differential equations containing only the 3 coordinates of the triangle formed by the 3 masses. Solutions are given for special potentials and arbitrary l. The physical meaning of the differential operators appearing in the equations becomes evident from their application to the solution functions. This leads to a rearrangement of the Hamiltonian in a very transparent form and gives a hint how to get the most effective perturbation expansion. A simple example is worked out. For systems with Coulomb interaction a modification of the method is suggested by physical considerations. The calculation of the ground state energy of the Helium atom shows the rapid convergence of the procedure.

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