Analytic approximations for the Fermi energy of an ideal Fermi gas

1977 ◽  
Vol 31 (5) ◽  
pp. 354-356 ◽  
Author(s):  
W. B. Joyce ◽  
R. W. Dixon
Keyword(s):  
Fermi Energy ◽  
Fermi Gas ◽  
Analytic Approximations

Fermi–Dirac Statistics

2019 ◽  
pp. 386-403
Author(s):  
Robert H. Swendsen
Keyword(s):  
High Temperature ◽  
Low Temperature ◽  
Specific Heat ◽  
Fermi Energy ◽  
Fermi Gas ◽  
Main Application ◽  
Densities Of States ◽  
Low Temperature Specific Heat ◽  
Very High ◽  
The Ideal

The main application of Fermi–Dirac Statistics is to calculate the properties of electrons. This chapter explains how the properties of fermions account for the behavior of metals. The Fermi energy is introduced and shown to correspond to a very high temperature, so that most properties can be obtained from low-temperature expansions. Both discrete and continuous densities of states are discussed. The Sommerfeld expansion is derived explicitly. The low-temperature specific heat and compressibility are derived. The most important fermions are electrons, and understanding the properties of electrons is central to understanding the properties of all materials. In this chapter we will study the ideal Fermi gas, which turns out to explain many of the properties of electrons in metals.

Full range analytic approximations for Fermi energy and Fermi–Dirac integral F−1/2in terms of F1/2

1989 ◽  
Vol 65 (5) ◽  
pp. 2162-2164 ◽  
Author(s):  
T. Y. Chang ◽  
A. Izabelle
Keyword(s):  
Fermi Energy ◽  
Full Range ◽  
Analytic Approximations

Analytic approximations for the Fermi energy in (Al,Ga)As

1978 ◽  
Vol 32 (10) ◽  
pp. 680-681 ◽  
Author(s):  
W. B. Joyce
Keyword(s):  
Fermi Energy ◽  
Analytic Approximations

scholarly journals A note on the Fermi energy of an ideal Fermi gas trapped under a generic power law potential in d -dimension

2015 ◽  
Vol 36 (5) ◽  
pp. 058003 ◽  
Author(s):  
Mir Mehedi Faruk
Keyword(s):  
Power Law ◽  
Fermi Energy ◽  
Fermi Gas

Two-Dimensional Fermi Gas at Half Filling is a Luttinger Liquid

1995 ◽  
Vol 5 (11) ◽  
pp. 1481-1486
Author(s):  
E. Batkilin
Keyword(s):  
Luttinger Liquid ◽  
Fermi Gas ◽  
Two Dimensional ◽  
Half Filling

NON-EQUILIBRIUM NUCLEON EMISSION AROUND THE FERMI ENERGY REGION

1986 ◽  
Vol 47 (C4) ◽  
pp. C4-77-C4-82
Author(s):  
J. N. DE ◽  
S. K. SAMADDAR
Keyword(s):  
Fermi Energy ◽  
Energy Region ◽  
Nucleon Emission ◽  
Non Equilibrium

A New Condition of Formation and Stablity of All Crystalline Systems in a Good Agreement with Experimental Data

2015 ◽  
Vol 11 (3) ◽  
pp. 3224-3228
Author(s):  
Tarek El-Ashram
Keyword(s):  
Experimental Data ◽  
Brillouin Zone ◽  
Electron Concentration ◽  
Free Electron ◽  
Lattice Point ◽  
Valence Electron ◽  
Fermi Gas ◽  
Valence Electron Concentration ◽  
Fermi Sphere ◽  
Good Agreement

In this paper we derived a new condition of formation and stability of all crystalline systems and we checked its validity andit is found to be in a good agreement with experimental data. This condition is derived directly from the quantum conditionson the free electron Fermi gas inside the crystal. The new condition relates both the volume of Fermi sphere VF andvolume of Brillouin zone VB by the valence electron concentration VEC as ;𝑽𝑭𝑽𝑩= 𝒏𝑽𝑬𝑪𝟐for all crystalline systems (wheren is the number of atoms per lattice point).

Analytic Approximations to GARCH Aggregated Returns Distributions with Applications to VaR and ETL

2011 ◽  
Author(s):  
Carol Alexander ◽  
Emese Lazar ◽  
Silvia Stanescu
Keyword(s):  
Analytic Approximations
Sign in / Sign up

Export Citation Format

Share Document