Improved Z-dependence of the ground-state energies of neutral atoms

1986 ◽  
Vol 96 (3-4) ◽  
pp. 231-239 ◽  
Author(s):  
P K Chattaraj ◽  
A Mukherjee ◽  
M P Das ◽  
B M Deb
Keyword(s):  
Ground State ◽  
Neutral Atoms ◽  
Ground State Energies

scholarly journals The Quantisation of the Screening Constant

1987 ◽  
Vol 40 (3) ◽  
pp. 329 ◽  
Author(s):  
Ian J Miller
Keyword(s):  
Excited States ◽  
Ground State ◽  
Outer Shell ◽  
Electron Configuration ◽  
Neutral Atoms ◽  
Screening Constant ◽  
Quantum Numbers ◽  
Ground State Energies

Relationships are given in which the 'screening defect' is expressed in terms of the quantum numbers n and I for both the ground and excited states of neutral atoms for which the electron configuration can be considered as one electron and a core of completed shells. It is further shown that the same functions determine the ground-state energies for any series of neutral atoms with the same outer shell configuration. An explanation is offered in terms of wavefunctions with fewer nodes than the corresponding hydrogen wavefunctions.

TABLE OF GROUND STATE PROPERTIES OF NUCLEI IN THE RMF MODEL

2013 ◽  
Vol 28 (16) ◽  
pp. 1350068 ◽  
Author(s):  
TUNCAY BAYRAM ◽  
A. HAKAN YILMAZ
Keyword(s):  
Ground State ◽  
Mean Field ◽  
Properties Of Nuclei ◽  
Relativistic Mean Field ◽  
Ground State Properties ◽  
Pairing Correlations ◽  
Ground State Energies ◽  
Rmf Model

The ground state energies, sizes and deformations of 1897 even–even nuclei with 10≤Z ≤110 have been carried out by using the Relativistic Mean Field (RMF) model. In the present calculations, the nonlinear RMF force NL3* recent refitted version of the NL3 force has been used. The BCS (Bardeen–Cooper–Schrieffer) formalism with constant gap approximation has been taken into account for pairing correlations. The predictions of RMF model for the ground state properties of some nuclei have been discussed in detail.

scholarly journals Fast Ground State Manipulation of Neutral Atoms in Microscopic Optical Traps

2006 ◽  
Vol 96 (6) ◽  
Author(s):  
D. D. Yavuz ◽  
P. B. Kulatunga ◽  
E. Urban ◽  
T. A. Johnson ◽  
N. Proite ◽  
...  
Keyword(s):  
Ground State ◽  
Optical Traps ◽  
Neutral Atoms

Application of multireference linearized coupled-cluster theory to atomic and molecular systems

2018 ◽  
Vol 17 (02) ◽  
pp. 1850016 ◽  
Author(s):  
Jiang Yi ◽  
Feiwu Chen
Keyword(s):  
Ground State ◽  
Basis Sets ◽  
Coupled Cluster ◽  
Vibration Frequencies ◽  
Electron Affinities ◽  
Proton Affinities ◽  
Coupled Cluster Theory ◽  
Molecular Systems ◽  
Ground State Energies ◽  
Second Order Perturbation Theory

Applications of the multireference linearized coupled-cluster single-doubles (MRLCCSD) to atomic and molecular systems have been carried out. MRLCCSD is exploited to calculate the ground-state energies of HF, H2O, NH3, CH4, N2, BF, and C2with basis sets, cc-pVDZ, cc-pVTZ and cc-pVQZ. The equilibrium bond lengths and vibration frequencies of HF, HCl, Li2, LiH, LiF, LiBr, BH, and AlF are computed with MRLCCSD and compared with the experimental data. The electron affinities of F and CH as well as the proton affinities of H2O and NH3are also calculated with MRLCCSD. These results are compared with the results produced with second-order perturbation theory, linearized coupled-cluster doubles (LCCD), coupled-cluster doubles (CCD), coupled-cluster singles and doubles (CCSD), CCSD with perturbative triples correction (CCSD(T)). It is shown that all results obtained with MRLCCSD are reliable and accurate.

scholarly journals The influence of Debye plasma on the ground state energies of exotic systems

2008 ◽  
Vol 109 (5) ◽  
pp. 873-880 ◽  
Author(s):  
Amar N. Sil ◽  
Mariusz Pawlak ◽  
Prasanta K. Mukherjee ◽  
Mirosław Bylicki
Keyword(s):  
Ground State ◽  
Debye Plasma ◽  
Ground State Energies ◽  
Exotic Systems

scholarly journals BOUNDARY ONE-POINT FUNCTIONS, SCATTERING, AND BACKGROUND VACUUM SOLUTIONS IN TODA THEORIES

2003 ◽  
Vol 18 (06) ◽  
pp. 879-899 ◽  
Author(s):  
V. A. FATEEV ◽  
E. ONOFRI
Keyword(s):  
Exact Solutions ◽  
Ground State ◽  
S Matrix ◽  
Parametric Families ◽  
Vacuum Solutions ◽  
Ground State Energies

The parametric families of integrable boundary affine Toda theories are considered. We calculate boundary one-point functions and propose boundary S-matrices in these theories. We use boundary one-point functions and S-matrix amplitudes to derive boundary ground state energies and exact solutions describing classical vacuum configurations.

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