Fermi-Dirac Type Expression of Mono-Vacancy Concentration

Fermi-Dirac Statistics

Fermi-Dirac statistics are one of two kinds of statistics exhibited by!identical quantum particles, the other being !Bose-Einstein statistics. Such particles are called fermions and bosons respectively (the terminology is due to Dirac [1902-1984] [1]). In the light of the !spin-statistics theorem, and consistent with observation, fermions are invariably spinors (of half-integral spin), whilst b...

Uniform convergence for moment problems with Fermi-Dirac type entropies

We consider the best entropic estimation to a unknown density x, given some of its algebraic or trigonometric moments. A uniform convergence theorem is established in this paper for such problems using Fermi-Dirac type entropic objectives .

1926 Enrico Fermi discovers the spin - statistics connection 1926 Paul Dirac introduces Fermi - Dirac

-260 Archimedes mathematically works out the principle of the lever and discovers the principle of buoyancy 60 Hero of Alexandria writes Metrica, Mechanics, and Pneumatics 1490 Leonardo da Vinci describes capillary action 1581 Galileo Galilei notices the timekeeping property of the pendulum 1589 Galileo Galilei uses balls rolling on inclined planes to show that di erent weights fall with the sa...

Dipole Moments in Thomas-Fermi-Dirac and Thomas-Fermi Theories

Bosonic Analogue of Dirac Composite Fermi Liquid.

We introduce a particle-hole-symmetric metallic state of bosons in a magnetic field at odd-integer filling. This state hosts composite fermions whose energy dispersion features a quadratic band touching and corresponding 2π Berry flux protected by particle-hole and discrete rotation symmetries. We also construct an alternative particle-hole symmetric state-distinct in the presence of inversion ...