Journal ArticleDOI
Thomas-Fermi and Thomas-Fermi-Dirac calculations for atoms in a very strong magnetic field
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TLDR
In this paper, a statistical model for atoms in a very strong magnetic field was built, starting from the assumption that the Coulomb motion of the atomic electrons is adiabatically slow with respect to their magnetic motion.Abstract:
A statistical model for atoms in a very strong magnetic field (${10}^{12}$-${10}^{14}$ G) may be built, starting from the assumption that the Coulomb motion of the atomic electrons is adiabatically slow with respect to their magnetic motion. Within this framework, the binding energies and radii, as well as the ionization energies of singly and doubly ionized atoms, are computed for atomic numbers $5\ensuremath{\le}Z\ensuremath{\le}100$ in the Thomas-Fermi case, and for $5\ensuremath{\le}Z\ensuremath{\le}70$ in the Thomas-Fermi-Dirac case. Possible astrophysical implications may concern the emission of electrons and ions from the surface of pulsars, the abundances of the elements in the cosmic radiation, and the properties of the condensed matter forming the outer crust of magnetic neutron stars.read more
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Theory of pulsar magnetospheres
TL;DR: In this article, a wide range of fundamental physical problems directly related to how pulsars function are discussed, some of which are independent of the specific pulsar mechanism and others relate directly to the physics of the pulsar and already shed some light on the properties of matter at high density and in strong magnetic fields.
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Neuro-heuristics for nonlinear singular Thomas-Fermi systems
Zulqurnain Sabir,Muhammad Anwaar Manzar,Muhammad Asif Zahoor Raja,Muhammad Sheraz,Abdul-Majid Wazwaz +4 more
TL;DR: A neuro-heuristic scheme is design to solve nonlinear singular second order system based on Thomas-Fermi equation using the strength of universal approximation capabilities of feedforward artificial neural networks supported with optimization power of genetic algorithms and sequential quadratic programming.
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Asymptotics of heavy atoms in high magnetic fields: II. Semiclassical regions
TL;DR: In this paper, the ground state energy of an atom of nuclear charge in a magnetic field is exactly evaluated to leading order asZ→∞ in the following three regions:B≪Z4/3,B≈Z 4/3 andB≫Z 3 in which a modified Thomas-Fermi type theory is numerically and conceptually wrong.
Journal ArticleDOI
Asymptotics of heavy atoms in high magnetic fields: I. Lowest landau band regions
TL;DR: In this paper, the ground state energy of an atom of nuclear charge Ze in a magnetic field B is evaluated exactly to leading order as Z ∞, and it is shown that there are five regions of interest for neutron stars.
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A new heuristic computational solver for nonlinear singular Thomas–Fermi system using evolutionary optimized cubic splines
TL;DR: Results show that proposed evolutionary paradigm CSM-GASQP is an effective, alternate, accurate, and reliable stochastic numerical solver for stiff nonlinear singular Thomas–Fermi systems.