The introduction of the quantum kinetic energy term via the Hamilton-Jacobi approach

2013 ◽  
Vol 128 (1) ◽  
Author(s):  
Maedeh Mollai ◽  
Mohammad Razavi ◽  
Safa Jami ◽  
Ali Ahanj
Keyword(s):  
Kinetic Energy ◽  
Energy Term ◽  
Kinetic Energy Term

scholarly journals STATEFINDER PARAMETERS FOR QUINTOM DARK ENERGY MODEL

2005 ◽  
Vol 14 (11) ◽  
pp. 1873-1881 ◽  
Author(s):  
PUXUN WU ◽  
HONGWEI YU
Keyword(s):  
Dark Energy ◽  
Kinetic Energy ◽  
Dark Energy Model ◽  
Scalar Fields ◽  
Energy Model ◽  
The Other ◽  
Energy Term ◽  
Statefinder Parameters ◽  
Energy Models ◽  
Kinetic Energy Term

We perform in this paper a statefinder diagnostic to a dark energy model with two scalar fields, called "quintom," where one of the scalar fields has a canonical kinetic energy term and the other has a negative one. Several kinds of potentials are discussed. Our results show that the statefinder diagnostic can differentiate quintom model with other dark energy models.

Comparative assesment of steady-state pipeline gas flow models / Analiza porównawcza modeli przepływu gazu w rurociągu w stanach ustalonych

2012 ◽  
Vol 57 (1) ◽  
pp. 23-38 ◽  
Author(s):  
Maciej Chaczykowski ◽  
Andrzej J. Osiadacz
Keyword(s):  
Steady State ◽  
Kinetic Energy ◽  
Gas Flow ◽  
Energy Equation ◽  
Momentum Equation ◽  
Analytical Models ◽  
Energy Term ◽  
Convective Term ◽  
Flow Models ◽  
Kinetic Energy Term

One-dimensional, non-isothermal flow of gas in a straight pipe has been considered to predict pressure and temperature profiles along the horizontal pipeline under steady-state conditions. Selected analytical models for the simplified calculation of these profiles are evaluated on the basis of the numerical solution of the accurate model, which incorporates the convective term in the momentum equation and the kinetic energy term in the energy equation, while treating the enthalpy as a function of pressure and temperature. For closure of the system of the conservation equations, the GERG 2004 equation of state was chosen. In order to present the discrepancies introduced by the models, the results of the numerical and analytical solutions are compared with the field data. The results show that in the case of the high pressure gas transmission system, the effects of the convective term in the momentum equation and the kinetic energy term in the energy equation are negligible for pipeline pressure and temperature calculation accuracies. It also indicates that real gas effects play an important role in the temperature distribution along the pipeline and cannot be neglected from the calculation when approximate analytical equations are used.

SELFCONSISTENT FUSION BARRIERS AT NEAR BARRIER ENERGIES

2004 ◽  
Vol 13 (01) ◽  
pp. 305-308 ◽  
Author(s):  
JANUSZ SKALSKI
Keyword(s):  
Kinetic Energy ◽  
Skyrme Force ◽  
Energy Term ◽  
Density Method ◽  
Hartree Fock ◽  
Error Cancellation ◽  
Kinetic Energy Term ◽  
Relative Kinetic ◽  
Q Values ◽  
Better Than

Fusion potentials are calculated for a number of reactions within the static Hartree-Fock method with the Skyrme force SkM*. Fusion barriers agree with the data considerably better than reaction Q values. This suggests some error cancellation, possibly with the relative kinetic energy term. Our results are consistent with the idea of fusion hindrance in tip collisions. Some comparison to results of the frozen density method is made.

Three-Dimensional Analysis of Handspring with Full Turn Vault: Deterministic Model, Coaches' Beliefs, and Judges' Scores

1998 ◽  
Vol 14 (2) ◽  
pp. 190-210 ◽  
Author(s):  
Yoshiaki Takei
Keyword(s):  
Kinetic Energy ◽  
Deterministic Model ◽  
Three Dimensional ◽  
Vertical Displacement ◽  
Angular Distance ◽  
Energy Term ◽  
Long Duration ◽  
Full Turn ◽  
Vertical Displacements ◽  
Kinetic Energy Term

The purpose of the study was to identify mechanical variables that govern successful performance of the handspring with full turn vault. Subjects were 67 male gymnasts from 25 countries performing the vault during the 1992 Olympic Games. The vaults were filmed by two 16-mm Locam II DC cameras operating at 100 Hz. Approximately 80 frames per subject were digitized for each camera view. Direct linear transformation (DLT) was used to calculate the 3-D coordinates of the digitized body points. The method of Hay and Reid (1988) was used to develop a theoretical model to identify the mechanical variables that determine linear and angular motions of the vault. Significant correlations (p< .005) indicated that the following were important determinants for success: large horizontal velocity, large horizontal kinetic energy term, and overall translational kinetic energy term at takeoff from the board; short duration, small vertical displacement of the center of gravity (CG), and small somersaulting angular distance of preflight; large vertical velocity and large vertical kinetic energy term at takeoff from the horse; and large "amplitude of postflight," that is, large horizontal and vertical displacements of CG and long duration of flight; great height of CG during the second quarter-tum in postflight; and small point deduction for landing.

Local Density Approximations for the Energy of a Periodic Coulomb Model

2003 ◽  
Vol 13 (08) ◽  
pp. 1185-1217 ◽  
Author(s):  
Olivier Bokanowski ◽  
Benoît Grebert ◽  
Norbert J. Mauser
Keyword(s):  
Kinetic Energy ◽  
Local Density ◽  
Exchange Energy ◽  
Asymptotic Approximations ◽  
Exchange Potential ◽  
Energy Term ◽  
Local Exchange ◽  
Coulomb Model ◽  
Local Density Approximations ◽  
Number Of Particles

We deal with local density approximations for the kinetic and exchange energy term, ℰ kin (ρ) and ℰ ex (ρ), of a periodic Coulomb model. We study asymptotic approximations of the energy when the number of particles goes to infinity and for densities close to the constant averaged density. For the kinetic energy, we recover the usual combination of the von-Weizsäcker term and the Thomas–Fermi term. Furthermore, we justify the inclusion of the Dirac term for the exchange energy and the Slater term for the local exchange potential.

Localization of the 4f wave-function in cesium

1996 ◽  
Vol 74 (9-10) ◽  
pp. 565-567
Author(s):  
B. N. Onwuagba
Keyword(s):  
Wave Function ◽  
Field Potential ◽  
Local Spin Density Approximation ◽  
Energy Term ◽  
Radial Part ◽  
Consistent Field ◽  
Self Consistent ◽  
Self Consistent Field ◽  
Kinetic Energy Term ◽  
Insight Into

The local spin density approximation is used in the study of the localization of the 4f wave function in cesium, by superimposing the radial part of the kinetic-energy term on the self-consistent field potential VSCF(r). The results obtained show a collapsed 4f wave function in Cs+, but not in neutral Cs, which compares favourably with the previous findings and provide good insight into the understanding of the collapsed 4f wave function in cesium.

scholarly journals Some aspects of modified theory of gravity in Palatini formalism unveiled

2020 ◽  
Vol 35 (20) ◽  
pp. 2050162
Author(s):  
Manas Chakrabortty ◽  
Nayem Sk ◽  
Abhik Kumar Sanyal
Keyword(s):  
Cosmic Acceleration ◽  
Kinetic Term ◽  
Late Time ◽  
Interesting Aspect ◽  
Energy Term ◽  
Wrong Answer ◽  
Palatini Formalism ◽  
Kinetic Energy Term ◽  
Theory Of Gravity ◽  
Modified Theory

Under conformal transformation, [Formula: see text] theory of gravity in Palatini formalism leads to a Brans–Dicke type of scalar-tensor equivalent theory with a wrong sign in the effective kinetic energy term. This means that the effective scalar acts as the dark energy and so late-time cosmic acceleration in the matter-dominated era is accountable. However, we unveil some aspects of Palatini formalism, which reveals the fact that the formalism is not suitable to explain the cosmological evolution of the early universe with [Formula: see text] gravity alone. Additionally, it is noticed that some authors, in an attempt to explore Noether symmetry of the theory changed the sign of the kinetic term and hence obtained the wrong answer. Here, we make the correction and unmask a very interesting aspect of symmetry analysis. Mathematical inequivalence between Jordan’s and Einstein’s frame in Palatini [Formula: see text] theory has also been revealed.

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