Improved Thomas-Fermi interaction potential for atoms with very dissimilar nuclear charges

1984 ◽  
Vol 319 (3) ◽  
pp. 337-342
Author(s):  
G. I. Plindov ◽  
S. K. Pogrebnya
Keyword(s):  
Interaction Potential ◽  
Thomas Fermi ◽  
Fermi Interaction

Monte Carlo study of the depth and lateral range of low-energy projectiles in solids

1980 ◽  
Vol 58 (12) ◽  
pp. 1738-1747 ◽  
Author(s):  
B. M. Latta
Keyword(s):  
Monte Carlo ◽  
Numerical Solutions ◽  
Monte Carlo Study ◽  
Equal Mass ◽  
Thomas Fermi ◽  
Hartree Fock ◽  
Fermi Interaction ◽  
The Mean ◽  
Lateral Range ◽  
Good Agreement

For heavy projectiles on light targets, the experimental measurements of mean-depth and of lateral-range straggle indicate discrepancies of up to 100% in the previous numerical solutions which are based upon a Thomas–Fermi interaction potential. In contrast, the present Monte Carlo (MC) results, which are based upon a solid-state Thomas–Fermi (SSTF) interaction, are in good agreement with experiment. The present SSTF mean-depth estimates are also in good agreement with estimates based on semiempirical potentials and with estimates based on Hartree–Fock–Slater interaction potentials. There remain small discrepancies between experiment and all theoretical estimates of the mean depth. In the case of the lateral-range straggle, the present MC SSTF results are in excellent agreement with experiment. The previous large discrepancies between theory and experiment are attributed, in part, to the choice of potential and, in part, to the numerical methods used to obtain the lateral-range straggle. In addition, the present MC SSTF calculations of the mean-depth and lateral-range straggle for equal mass and light projectile on heavy target collision pairs are in closer agreement with existing numerical estimates.

scholarly journals Clinical Pharmacokinetic Drug Interaction Potential of MenoAct851 in Adult, Female Healthy Volunteers

2021 ◽  
Vol 94 ◽  
pp. 100619
Author(s):  
Vijayakumar Thangavel Mahalingam ◽  
Ilango Kaliappan ◽  
Satish Kumar Rajappan Chandra ◽  
Melvin George ◽  
Mohan Kumar Ramasamy ◽  
...  
Keyword(s):  
Drug Interaction ◽  
Healthy Volunteers ◽  
Clinical Pharmacokinetic ◽  
Adult Female ◽  
Interaction Potential ◽  
Pharmacokinetic Drug Interaction ◽  
Pharmacokinetic Drug

scholarly journals Deformation of the Fermi surface of a spinless two-dimensional electron gas in presence of an anisotropic Coulomb interaction potential

2021 ◽  
Vol 11 (1) ◽  
Author(s):  
Orion Ciftja
Keyword(s):  
Fermi Surface ◽  
Coulomb Interaction ◽  
Interaction Potential ◽  
Fermi Liquid ◽  
Energy State ◽  
Electron Gas ◽  
Two Dimensional ◽  
Dimensional Electron ◽  
Two Dimensional Electron Gas ◽  
Dimensional Electron Gas

AbstractWe consider the stability of the circular Fermi surface of a two-dimensional electron gas system against an elliptical deformation induced by an anisotropic Coulomb interaction potential. We use the jellium approximation for the neutralizing background and treat the electrons as fully spin-polarized (spinless) particles with a constant isotropic (effective) mass. The anisotropic Coulomb interaction potential considered in this work is inspired from studies of two-dimensional electron gas systems in the quantum Hall regime. We use a Hartree–Fock procedure to obtain analytical results for two special Fermi liquid quantum electronic phases. The first one corresponds to a system with circular Fermi surface while the second one corresponds to a liquid anisotropic phase with a specific elliptical deformation of the Fermi surface that gives rise to the lowest possible potential energy of the system. The results obtained suggest that, for the most general situations, neither of these two Fermi liquid phases represent the lowest energy state of the system within the framework of the family of states considered in this work. The lowest energy phase is one with an optimal elliptical deformation whose specific value is determined by a complex interplay of many factors including the density of the system.

scholarly journals Analytical angular solutions for the atom–diatom interaction potential in a basis set of products of two spherical harmonics: two approaches

2021 ◽  
Author(s):  
Mariusz Pawlak ◽  
Marcin Stachowiak
Keyword(s):  
Spherical Harmonics ◽  
Interaction Potential ◽  
Chem Phys ◽  
Basis Set ◽  
Matrix Elements ◽  
Trigonometric Functions ◽  
Variational Theory ◽  
Molecular Collision ◽  
The Matrix ◽  
Analytical Expressions

AbstractWe present general analytical expressions for the matrix elements of the atom–diatom interaction potential, expanded in terms of Legendre polynomials, in a basis set of products of two spherical harmonics, especially significant to the recently developed adiabatic variational theory for cold molecular collision experiments [J. Chem. Phys. 143, 074114 (2015); J. Phys. Chem. A 121, 2194 (2017)]. We used two approaches in our studies. The first involves the evaluation of the integral containing trigonometric functions with arbitrary powers. The second approach is based on the theorem of addition of spherical harmonics.

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