ON SOME PROPERTIES OF THE VACUUM ENERGY OF THE UNIVERSE

2006 ◽  
Vol 21 (37) ◽  
pp. 2827-2831
Author(s):  
A. BHATTACHARYA ◽  
S. N. BANERJEE ◽  
B. CHAKRABARTI ◽  
S. BANERJEE ◽  
S. MANI
Keyword(s):  
Equation Of State ◽  
Ground State ◽  
Vacuum Energy ◽  
State Energy ◽  
Casimir Energy ◽  
Vacuum Field ◽  
Energy Calculation ◽  
Quantum Vacuum ◽  
Regularization Scheme ◽  
The Universe

The contribution of the cosmological constant to the ground state energy of the quantum vacuum field has been investigated in the framework of the Casimir energy calculation. A regularization scheme is suggested. The equation of state and the nature of the corresponding medium has been studied with some interesting observations.

scholarly journals HEAT KERNEL COEFFICIENTS AND DIVERGENCIES OF THE CASIMIR ENERGY FOR THE DISPERSIVE SPHERE

2002 ◽  
Vol 17 (06n07) ◽  
pp. 813-819 ◽  
Author(s):  
M. BORDAG ◽  
K. KIRSTEN
Keyword(s):  
Electromagnetic Field ◽  
Heat Kernel ◽  
Ground State Energy ◽  
Ground State ◽  
High Frequency ◽  
Vacuum Energy ◽  
State Energy ◽  
Casimir Energy ◽  
Divergent Part

The first heat kernel coefficients are calculated for a dispersive ball whose permittivity at high frequency differs from unity by inverse powers of the frequency. The corresponding divergent part of the vacuum energy of the electromagnetic field is given and ultraviolet divergencies are seen to be present. Also in a model where the number of atoms is fixed the pressure exhibits infinities. As a consequence, the ground-state energy for a dispersive dielectric ball cannot be interpreted easily.

On the Vanishing of the Cosmological Vacuum Energy

1997 ◽  
Vol 12 (16) ◽  
pp. 1127-1130 ◽  
Author(s):  
M. D. Pollock
Keyword(s):  
Wave Function ◽  
Schrödinger Equation ◽  
Ground State ◽  
Schrodinger Equation ◽  
Vacuum Energy ◽  
Ground State Solution ◽  
Space Time ◽  
State Solution ◽  
Superstring Theory ◽  
The Universe

By demanding the existence of a globally invariant ground-state solution of the Wheeler–De Witt equation (Schrödinger equation) for the wave function of the Universe Ψ, obtained from the heterotic superstring theory, in the four-dimensional Friedmann space-time, we prove that the cosmological vacuum energy has to be zero.

scholarly journals How does Casimir energy fall? II. Gravitational acceleration of quantum vacuum energy

2007 ◽  
Vol 40 (35) ◽  
pp. 10935-10943 ◽  
Author(s):  
Kimball A Milton ◽  
Prachi Parashar ◽  
K V Shajesh ◽  
Jef Wagner
Keyword(s):  
Vacuum Energy ◽  
Casimir Energy ◽  
Gravitational Acceleration ◽  
Quantum Vacuum

scholarly journals MASSLESS FLOWS II: THE EXACT S-MATRIX APPROACH

1993 ◽  
Vol 08 (32) ◽  
pp. 5751-5778 ◽  
Author(s):  
P. FENDLEY ◽  
H. SALEUR ◽  
AL. B. ZAMOLODCHIKOV
Keyword(s):  
Magnetic Field ◽  
Ground State ◽  
State Energy ◽  
Casimir Energy ◽  
Matrix Approach ◽  
Minimal Models ◽  
Unusual Behavior ◽  
Conformal Field ◽  
S Matrix ◽  
Sine Gordon Model

We study the spectrum, the massless S matrices and the ground-state energy of the flows between successive minimal models of conformal field theory, and within the sine-Gordon model with imaginary coefficient of the cosine term (related to the minimal models by “truncation”). For the minimal models, we find exact S matrices which describe the scattering of massless kinks, and show using the thermodynamic Bethe ansatz that the resulting non-perturbative c function (defined by the Casimir energy on a cylinder) flows appropriately between the two theories, as conjectured earlier. For the nonunitary sine-Gordon model, we find unusual behavior. For the range of couplings we can study analytically, the natural S matrix deduced from the minimal one by “undoing” the quantum-group truncation does not reproduce the proper c function with the TBA. It does, however, describe the correct properties of the model in a magnetic field.

Liquid 4He: Equation of State, Compressibility and Velocity of First Sound

1998 ◽  
Vol 12 (21) ◽  
pp. 2115-2127 ◽  
Author(s):  
B. Skjetne ◽  
E. Østgaard
Keyword(s):  
Wave Function ◽  
Equation Of State ◽  
Ground State Energy ◽  
Ground State ◽  
State Energy ◽  
Experimental Results ◽  
Interaction Models ◽  
First Sound ◽  
Polynomial Expression ◽  
Theoretical Results

In calculations for liquid 4 He , an investigation is made to check the accuracy of a lowest-order constrained variational (LOCV) method, using modified "healing" conditions on the two-body Jastrow wave function. Results obtained for the ground-state energy for four different interaction models are fitted by a polynomial expression, whereby the pressure, compressibility and velocity of first sound are obtained. The theoretical results are found to be in fair agreement with experimental results.

USING EVOLUTIONARY ALGORITHM TO CALCULATE THE GROUND-STATE ENERGY OF DOUBLE-ELECTRON ATOMS IN A UNIFORM MAGNETIC FIELD (B ≤ 109G)

2000 ◽  
Vol 11 (01) ◽  
pp. 183-194 ◽  
Author(s):  
LIANJUN LIU ◽  
LI ZHAO ◽  
YOUDONG MAO ◽  
DONG YU ◽  
JINGWEN XU ◽  
...  
Keyword(s):  
Magnetic Field ◽  
Evolutionary Algorithm ◽  
Ground State Energy ◽  
Ground State ◽  
Uniform Magnetic Field ◽  
State Energy ◽  
Electron System ◽  
Energy Calculation ◽  
Double Electron

It is very difficult to calculate the accurate ground-state energies of the double-electron atom like helium in a uniform magnetic field. By using the modified configuration interaction (MCI) method and the evolutionary algorithm (EA), we obtained highly accurate results. We discuss the role of magnetic field in the ground state of the double-electron system and the possibility of variational ground-state energy calculation by using evolutionary algorithm directly. Results show that compared with other algorithms, such as the simplex method, EA is more efficient in calculating atomic energies, and can be used in other fields of physics.

NUCLEAR EQUATION OF STATE IN A FORM SUITABLE FOR QUANTUM MOLECULAR DYNAMICS

2010 ◽  
Vol 19 (04) ◽  
pp. 759-767 ◽  
Author(s):  
ZBIGNIEW SOSIN
Keyword(s):  
Experimental Data ◽  
Molecular Dynamics ◽  
Equation Of State ◽  
Ground State Energy ◽  
Ground State ◽  
State Energy ◽  
Neutron Skin ◽  
Quantum Molecular Dynamics ◽  
Preliminary Results ◽  
Nuclear Equation Of State

The equation of state (EOS) in a form suitable for calculation in the model of quantum molecular dynamics (QMD) is presented. Using the proposed form of the EOS, different properties of nuclei such as ground state energy, nuclear radii and neutron skin could be calculated. The preliminary results of calculations are compared with the experimental data.

scholarly journals CASIMIR ENERGY OF CONFINED FIELDS: A ROLE OF THE RG-INVARIANCE

2002 ◽  
Vol 17 (06n07) ◽  
pp. 874-878 ◽  
Author(s):  
IGOR O. CHEREDNIKOV
Keyword(s):  
Renormalization Group ◽  
Ground State Energy ◽  
Ground State ◽  
State Energy ◽  
Casimir Energy ◽  
Bag Model ◽  
Group Invariance ◽  
Fermion Fields ◽  
Mit Bag Model

A role of the renormalization group invariance in calculations of the ground state energy for models with confined fermion fields is discussed. The case of the (1+1)D MIT bag model with the massive fermions is studied in detail.

Ground-state energy calculation in broken SUSYQM by a WKB-like method

1989 ◽  
Vol 22 (6) ◽  
pp. 647-661 ◽  
Author(s):  
S Giler ◽  
P Kosinski ◽  
J Rembielinski ◽  
P Maslanka
Keyword(s):  
Ground State Energy ◽  
Ground State ◽  
State Energy ◽  
Energy Calculation

Ground-state energy calculation of the electron-hole liquid in semiconductors

1974 ◽  
Vol 23 (1) ◽  
pp. 172-201 ◽  
Author(s):  
P. Vashishta ◽  
P. Bhattacharyya ◽  
K. S. Singwi
Keyword(s):  
Ground State Energy ◽  
Ground State ◽  
State Energy ◽  
Energy Calculation ◽  
Electron Hole
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