scholarly journals On the Stability of Classical Orbits of the Hydrogen Ground State in Stochastic Electrodynamics

Entropy ◽  
2016 ◽  
Vol 18 (4) ◽  
pp. 135 ◽  
Author(s):  
Theodorus Nieuwenhuizen
Keyword(s):  
Ground State ◽  
Stochastic Electrodynamics ◽  
The Stability ◽  
Classical Orbits

On the stability of the perturbative ground state in non-abelian Yang-Mills theories

1985 ◽  
Vol 154 (5-6) ◽  
pp. 411-417 ◽  
Author(s):  
Maurizio Consoli ◽  
Giuliano Preparata
Keyword(s):  
Ground State ◽  
Yang Mills ◽  
The Stability

scholarly journals Study of Zero Temperature Ground State Properties of the Repulsive Bose-Einstein Condensate in an Anharmonic Trap

2021 ◽  
Vol 13 (3) ◽  
pp. 733-744
Author(s):  
P. K. DEBNATH
Keyword(s):  
Ground State ◽  
Expansion Method ◽  
Einstein Condensate ◽  
Zero Temperature ◽  
Many Body ◽  
Ground State Properties ◽  
Potential Harmonic ◽  
The Stability ◽  
Average Size ◽  
Body Potential

The zero-temperature ground state properties of experimental 87Rb condensate are studied in a harmonic plus quartic trap [ V(r) =  ½mω2r2 + λr4 ]. The anharmonic parameter (λ) is slowly tuned from harmonic to anharmonic. For each choice of λ, the many-particle Schrödinger equation is solved using the potential harmonic expansion method and determines the lowest effective many-body potential. We utilize the correlated two-body basis function, which keeps all possible two-body correlations. The use of van der Waals interaction gives realistic pictures. We calculate kinetic energy, trapping potential energy, interaction energy, and total ground state energy of the condensate in this confining potential, modelled experimentally. The motivation of the present study is to investigate the crucial dependency of the properties of an interacting quantum many-body system on λ. The average size of the condensate has also been calculated to observe how the stability of repulsive condensate depends on anharmonicity. In particular, our calculation presents a clear physical picture of the repulsive condensate in an anharmonic trap.

REVIEW ON THEORETICAL STUDIES OF SUPERHEAVY NUCLEI

2006 ◽  
Vol 15 (07) ◽  
pp. 1587-1599 ◽  
Author(s):  
ZHONGZHOU REN ◽  
DINGHAN CHEN ◽  
CHANG XU
Keyword(s):  
Ground State ◽  
Large Mass ◽  
Mass Region ◽  
Superheavy Nuclei ◽  
Theoretical Studies ◽  
Shape Coexistence ◽  
Good Test ◽  
Α Decay ◽  
The Stability ◽  
Theoretical Results

Superheavy elements have provided a good test of the validity of both nuclear structure models and nuclear decay models in a large mass region. We firstly review the recent progress on theoretical studies of superheavy nuclei. Emphasis is placed on the structure and decay of superheavy nuclei. Then theoretical results of odd-odd nuclei with Z = 109 - 115 are presented and discussed. It is clearly demonstrated that there is shape coexistence for the ground state of many superheavy nuclei from different models and many superheavy nuclei are deformed. In some cases superdeformation can become the ground state of superheavy nuclei and it is important for future studies of superheavy nuclei. This can lead to the existence of low-energy isomers in the superheavy region and it plays an important role for the stability of superheavy nuclei. As α-decay and spontaneous fission plays a crucial role for identifications of new elements, we also review some typical models of α-decay half-lives and spontaneous fissions half-lives. Some new views on superheavy nuclei are presented.

scholarly journals Spin(p + 1, p + 1) COVARIANT Dp-BRANE BOUND STATES

2001 ◽  
Vol 16 (17) ◽  
pp. 3025-3040 ◽  
Author(s):  
P. SUNDELL
Keyword(s):  
Field Theory ◽  
Ground State ◽  
Bound States ◽  
Type Ii ◽  
Duality Group ◽  
Zero Force ◽  
Force Condition ◽  
The Stability

We construct Spin (p + 1, p + 1) covariant D p-brane bound states by using the fact that the potentials in the RR sector of toroidically compactified type II supergravity transform as a chiral spinor of the T duality group. As an application, we show the invariance of the zero-force condition for a probe D-brane under noncommutative deformations of the background, which gives a holographic proof of the stability of the corresponding field theory ground state under noncommutative deformations. We also identify the Spin (p + 1, p + 1) transformation laws by examining the covariance of the D-brane Lagrangians.

Nuclear structure properties of spin-1/2 heavy nuclei within the relativistic cluster model

2020 ◽  
Vol 29 (05) ◽  
pp. 2050026
Author(s):  
Keivan Darooyi Divshali ◽  
Mohammad Reza Shojaei
Keyword(s):  
Nuclear Structure ◽  
Beta Decay ◽  
Ground State ◽  
Cluster Model ◽  
Heavy Nuclei ◽  
Core Cluster ◽  
Phenomenological Potential ◽  
The Stability ◽  
Uvarov Method ◽  
Structure Properties

[Formula: see text]C is a beta decay isotope, its beta decay is very slow reflecting the stability of this nucleus and emitted from medium and heavy mass nuclei. The [Formula: see text]C result is in excellent agreement with the favored ground-state-to-ground-state transition according to the cluster model of Blendowske et al. We study nuclear structure properties of spin-1/2 heavy nuclei in the relativistic core-cluster model, that its cluster is [Formula: see text]C. According to this model for spin-1/2 heavy nuclei and for obtaining its wave function, we solve the Dirac equation with the new phenomenological potential by parametric Nikiforov–Uvarov method and then calculate the binding energy and charge radius.

Impurity Effect on the Stability of the Ground-State Spin Configuration in Triangular Lattice Antiferromagnet CuFeO2

1995 ◽  
Vol 64 (10) ◽  
pp. 3643-3646 ◽  
Author(s):  
Yoshitami Ajiro ◽  
Kazumi Hanasaki ◽  
Takayuki Asano ◽  
Takeo Takagi ◽  
Mamoru Mekata ◽  
...  
Keyword(s):  
Triangular Lattice ◽  
Ground State ◽  
Impurity Effect ◽  
Spin Configuration ◽  
Ground State Spin ◽  
The Stability ◽  
State Spin ◽  
Triangular Lattice Antiferromagnet

AB INITIO STUDY OF STRUCTURAL STABILITY AND MAGNETIC PROPERTIES OF Con(n = 2 - 10): A STUDY BASED ON PSEUDOPOTENTIALS DFT

2011 ◽  
Vol 22 (04) ◽  
pp. 359-369
Author(s):  
M. SAMAH ◽  
B. MOULA
Keyword(s):  
Density Functional Theory ◽  
Magnetic Properties ◽  
Ground State ◽  
Density Functional ◽  
Magnetic Moments ◽  
Stability Study ◽  
Ab Initio Study ◽  
Functional Theory ◽  
The Stability ◽  
Magic Cluster

The lowest-energy geometric and isomers of freestanding Co n clusters (n = 2 - 10) and their corresponding magnetic moments have been studied using the Siesta code based on pseudopotential density-functional theory. The calculated results show that there are many isomers near the ground state. Different isomers hold different magnetic moment. The stability study shows that among the investigated clusters, the hexamer one is the most stable and is the magic cluster. Dissociation channels energy are also studied.

STUDY OF STRUCTURAL STABILITY OF WIGNER ELECTRON CRYSTAL

2000 ◽  
Vol 14 (17) ◽  
pp. 1767-1779 ◽  
Author(s):  
R. RAJESWARA PALANICHAMY ◽  
K. IYAKUTTI
Keyword(s):  
Ground State ◽  
Energy Surface ◽  
Three Dimensional ◽  
Present Calculation ◽  
Wannier Functions ◽  
Constant Energy ◽  
Bcc Lattice ◽  
The Stability ◽  
Ground State Energies ◽  
Electron Crystal

The ground state energies of the non-magnetic Wigner electron crystals corresponding to sc, bcc, fcc, diamond and perovskite structures are estimated and it is found that the bcc lattice still remains to be the stable known arrangement for three-dimensional Wigner electron crystal. Perovskite structure is not the stablest as claimed in a previous work, it is preferred only after fcc and sc. The stability is analysed taking different structures and assuming the possibility of the Wigner electrons having cubic or spherical constant energy surface, the region of occupation in momentum space, for a whole range of rs values (rs=20 to 200). The structure dependent Wannier functions, which give a proper localized representation for the Wigner electrons in the crystals are constructed and employed in the present calculation.

ASPECTS OF HADRONS AT FINITE BARYONIC DENSITY

2007 ◽  
Vol 16 (09) ◽  
pp. 2830-2833 ◽  
Author(s):  
FÁBIO L. BRAGHIN
Keyword(s):  
Vector Field ◽  
Scalar Field ◽  
Ground State ◽  
Sigma Model ◽  
Dynamical Symmetry ◽  
Linear Sigma Model ◽  
Baryonic Density ◽  
The Stability ◽  
Classical Vector ◽  
Symmetry Breakings

The linear sigma model at finite baryonic density with a massive classical vector field is investigated considering that all the bosonic fields develop non zero expected classical values, eventually corresponding to dynamical symmetry breakings. The densities involving baryons are calculated using the solutions of the Dirac equation coupled to the classical vector and scalar field. The stability and ground state conditions are analyzed with particular (variational-like) prescriptions. Some aspects of relevance for states containing anti-hadrons and also for the restoration of chiral symmetry are discussed.

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