scholarly journals LOCV CALCULATIONS FOR POLARIZED LIQUID 3He WITH THE SPIN-DEPENDENT CORRELATION

2009 ◽  
Vol 23 (10) ◽  
pp. 2373-2382 ◽  
Author(s):  
G. H. BORDBAR ◽  
M. J. KARIMI
Keyword(s):  
Correlation Function ◽  
Total Energy ◽  
Ground State ◽  
Zero Temperature ◽  
Lennard Jones ◽  
Pair Potentials ◽  
Independent Case ◽  
Spin Triplet ◽  
The Difference ◽  
Dependent Correlation

We have used the lowest order constrained variational (LOCV) method to calculate some ground-state properties of polarized liquid 3 He at zero temperature with the spin-dependent correlation function employing the Lennard–Jones and Aziz pair potentials. We have seen that the total energy of polarized liquid 3 He increases with increasing polarization. For all polarizations, it is shown that the total energy in the spin-dependent case is lower than the spin-independent case. We have seen that the difference between the energies of spin-dependent and spin-independent cases decreases by increasing the polarization. We have shown that the main contribution of the potential energy comes from the spin-triplet state.

LOWEST-ORDER CONSTRAINED VARIATIONAL CALCULATIONS FOR TWO-DIMENSIONAL LIQUID 3He

2013 ◽  
Vol 12 (07) ◽  
pp. 1350061 ◽  
Author(s):  
G. H. BORDBAR ◽  
F. FATEMI ◽  
M. T. MOHAMADI SABET
Keyword(s):  
Total Energy ◽  
Cluster Expansion ◽  
Ground State ◽  
Bound State ◽  
Energy Functional ◽  
Two Dimensional ◽  
Zero Temperature ◽  
Lennard Jones ◽  
Pair Potentials ◽  
Variational Calculations

We have used the lowest-order constrained variational (LOCV) method based on the cluster expansion of the energy functional to calculate some ground state properties of two-dimensional liquid 3 He at zero temperature employing the Lennard-Jones and Aziz pair potentials. We have seen that the total energy increases by increasing density. It is shown that the two-dimensional liquid 3 He system has no self-bound state.

scholarly journals The energy of disintegration of radio-phosphorous [P 30 ]

1935 ◽  
Vol 152 (877) ◽  
pp. 714-723 ◽  
Keyword(s):  
Excited State ◽  
Total Energy ◽  
Continuous Spectrum ◽  
Atomic Number ◽  
Particle Bombardment ◽  
Ground State ◽  
Radioactive Elements ◽  
Upper Limit ◽  
Association Meeting ◽  
The Difference

The exact masses of the nuclei are quantity of great interest depending directly on the forces of cohesion between the nuclear particles. Already much valuable information has been obtained about the lighter element both by mass-spectrographic methods and by the study of atomic dis-integrations. The discovery of the new radioactive elements has extended greatly the number of nuclei open to investigation, but since nearly all of these disintegrate by emitting either positrons or electrons forming a continuous spectrum we meet here the same difficulty in determining the total energy change in the disintegration as with the natural β-ray bodies. In this latter case Henderson* has proved the correcting of the suggestion of Ellis and Mott that the difference of energy of two nuclei, apart from γ-emission, is given by the upper limit of the β-ray spectrum. However, as was emphasized by Cockroft at the British Association Meeting at Norwich, in September, 1935, this is a point which needs verification in the region of low atomic number and particularly for positron disintegration. We have attempted to obtain some information on this point by investigating the disintegration of radio-phosphorus [P30] formed from aluminium by α-particle bombardment, The disintegration of radio phosphorus has already been investigated several times, but there is such a notable disagreement between the values given by different observers for the energy of the upper limit that we felt fresh experiments were needed, further, it is necessary to determine whether the upper limit corresponds to the formation of the ground state or of an excited state of the product nucleus.

VARIATIONAL CALCULATIONS FOR NORMAL LIQUID 3He AT FINITE TEMPERATURE USING THE SPIN-DEPENDENT CORRELATION FUNCTION

2011 ◽  
Vol 25 (32) ◽  
pp. 4359-4368 ◽  
Author(s):  
G. H. BORDBAR ◽  
M. J. KARIMI
Keyword(s):  
Correlation Function ◽  
Variational Approach ◽  
Equations Of State ◽  
Singlet State ◽  
Spin Dependence ◽  
Normal Liquid ◽  
Spin Singlet ◽  
Variational Calculations ◽  
Spin Triplet ◽  
Dependent Correlation

By considering a spin dependence for the correlation function, the thermodynamic properties of normal liquid 3 He have been investigated by employing a lowest order constrained variational approach. It is seen that the spin-singlet state has a smaller contribution in the potential energy of normal liquid 3 He with respect to the spin-triplet state. It is seen that at high temperatures, the free energy of normal liquid 3 He in cases of spin-dependent and spin-independent correlation functions are nearly identical. The equations of state of these two cases are nearly similar too.

Isentropic calculation for thermodynamic properties of polarized liquid 3He by considering the effect of spin-dependent correlation function

2017 ◽  
Vol 31 (13) ◽  
pp. 1750097
Author(s):  
G. H. Bordbar ◽  
S. Hosseini ◽  
A. Poostforush
Keyword(s):  
Correlation Function ◽  
Thermodynamic Properties ◽  
Variational Approach ◽  
Adiabatic Compressibility ◽  
Spin Correlation ◽  
Energy Functional ◽  
Quantum Fluids ◽  
Jones Potential ◽  
Lennard Jones ◽  
Dependent Correlation

Correlations in quantum fluids such as liquid 3He continue to be of high interest to scientists. Based on this prospect, the present work is devoted to study the effects of spin–spin correlation function on the thermodynamic properties of polarized liquid 3He such as pressure, velocity of sound, adiabatic index and adiabatic compressibility along different isentropic paths, using the Lennard–Jones potential and employing the variational approach based on cluster expansion of the energy functional. The inclusion of this correlation improves our previous calculations and leads to good agreements with experimental results.

scholarly journals Ground-State Properties of Bosons in Three- and Two-Dimensional Traps

1998 ◽  
Vol 12 (21) ◽  
pp. 2129-2138 ◽  
Author(s):  
Augusto Gonzalez ◽  
Aurora Perez
Keyword(s):  
Total Energy ◽  
Strong Coupling ◽  
Ground State ◽  
Chemical Potential ◽  
Scattering Length ◽  
Two Dimensions ◽  
Series Expansions ◽  
Two Dimensional ◽  
Zero Temperature ◽  
Ground State Properties

We study trapped systems of bosons at zero temperature in three and two dimensions. Conditions are fulfilled for the application of Gross–Pitaevskii theory with a positive scattering length. Series expansions for ground-state properties are obtained in both the noninteracting and the strong-coupling (Thomas–Fermi) limits. From these expansions, analytic estimates are presented in the form of two-point Padé approximants. We explicitly show the approximants for the total energy per particle and the chemical potential.

scholarly journals More on complex Sachdev-Ye-Kitaev eternal wormholes

2021 ◽  
Vol 2021 (3) ◽  
Author(s):  
Pengfei Zhang
Keyword(s):  
Black Hole ◽  
Ground State ◽  
Effective Action ◽  
Chemical Potential ◽  
Specific Charge ◽  
Zero Temperature ◽  
Small Coupling ◽  
Chemical Potentials ◽  
Quench Dynamics ◽  
Two Sides

Abstract In this work, we study a generalization of the coupled Sachdev-Ye-Kitaev (SYK) model with U(1) charge conservations. The model contains two copies of the complex SYK model at different chemical potentials, coupled by a direct hopping term. In the zero-temperature and small coupling limit with small averaged chemical potential, the ground state is an eternal wormhole connecting two sides, with a specific charge Q = 0, which is equivalent to a thermofield double state. We derive the conformal Green’s functions and determine corresponding IR parameters. At higher chemical potential, the system transit into the black hole phase. We further derive the Schwarzian effective action and study its quench dynamics. Finally, we compare numerical results with the analytical predictions.

STRUCTURE, STABILITY, AND ELECTRONIC PROPERTIES OF LARGE FULLERENES

1993 ◽  
Vol 07 (26) ◽  
pp. 4305-4329 ◽  
Author(s):  
C.Z. WANG ◽  
B.L. ZHANG ◽  
K.M. HO ◽  
X.Q. WANG
Keyword(s):  
Total Energy ◽  
Electronic Properties ◽  
Ground State ◽  
Relative Stability ◽  
Chemical Reactivity ◽  
Structure Stability ◽  
Quantum Mechanical ◽  
Efficient Scheme ◽  
Ground State Structures ◽  
Fullerene Clusters

The recent development in understanding the structures, relative stability, and electronic properties of large fullerenes is reviewed. We describe an efficient scheme to generate the ground-state networks for fullerene clusters. Combining this scheme with quantum-mechanical total-energy calculations, the ground-state structures of fullerenes ranging from C 20 to C 100 have been studied. Fullerenes of sizes 60, 70, and 84 are found to be energetically more stable than their neighbors. In addition to the energies, the fragmentation stability and the chemical reactivity of the clusters are shown to be important in determining the abundance of fullerene isomers.

A Dynamic Model of III-V Ternary Semiconductor Alloys in the Epitaxial Growth

1994 ◽  
Vol 340 ◽  
Author(s):  
Bing-Lin Gu ◽  
Jing-Zhi Yu ◽  
Xiao Hu ◽  
Kaoru Ohno ◽  
Yoshiyuki Kawazoe
Keyword(s):  
Dynamic Model ◽  
Ground State ◽  
Wave Method ◽  
Semiconductor Alloys ◽  
Concentration Wave ◽  
Surface Layers ◽  
Ordered Structures ◽  
Effective Interactions ◽  
Ternary Semiconductor ◽  
The Difference

ABSTRACTA concentration wave method for several interpenetrating Bravais sublattices is presented by considering the intralayer and interlayer effective interactions and the difference between the surface layers and the deeper layers in III – V alloys. The ground state ordered structures of ternary III – V semiconductor alloys are deduced and a dynamic model is established.

Comparison of Lennard‐Jones and Exponential‐Six Pair Potentials for Solid Argon at Low Pressure

1970 ◽  
Vol 52 (4) ◽  
pp. 1782-1784 ◽  
Author(s):  
W. G. Hoover ◽  
A. C. Holt ◽  
D. R. Shortle ◽  
S. G. Gray
Keyword(s):  
Low Pressure ◽  
Lennard Jones ◽  
Pair Potentials ◽  
Solid Argon
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