Fermi gas on a lattice in the van Hove limit

1997 ◽  
Vol 87 (3-4) ◽  
pp. 821-845 ◽  
Author(s):  
T. G. Ho ◽  
L. J. Landau
Keyword(s):  
Fermi Gas ◽  
Van Hove Limit

ON THE WEAK COUPLING LIMIT FOR A FERMI GAS IN A RANDOM POTENTIAL

1993 ◽  
Vol 05 (02) ◽  
pp. 209-298 ◽  
Author(s):  
T. G. HO ◽  
L. J. LANDAU ◽  
A. J. WILKINS
Keyword(s):  
Weak Coupling ◽  
Random Potential ◽  
Perturbation Expansion ◽  
Fermi Gas ◽  
Weak Coupling Limit ◽  
The State ◽  
Asymptotic State ◽  
Initial State ◽  
Translation Invariant ◽  
Van Hove Limit

General conditions are derived for the essential self-adjointness of –∆ + V, where V is a translation-invariant random potential, and for the existence of the perturbation expansion. A sequence of graphs is exhibited violating Dell'Antonio's bound for skeleton graphs. For a translation-invariant and clustering Gaussian random potential V, and a translation-invariant and clustering initial state S of the Fermi gas, uncorrelated with the random potential, the weak coupling limit (Van Hove limit) yields increase of entropy, propagation of chaos, convergence of the state for sufficiently small values of the parameter τ to a gauge-invariant and quasi-free asymptotic state, and the semigroup describing the evolution of the two-point function. The asymptotic system is Bernoulli. Results are obtained not only for the average over the random potential but also with probability one. If the random potential V′ is absolutely continuous with respect to V, and if the state S′ is given by a density matrix in the GNS representation for S, then the weak coupling limit is the same as for V and S.

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).

Test of Fermi gas model predictions of level density inXe137

1985 ◽  
Vol 31 (6) ◽  
pp. 2041-2048 ◽  
Author(s):  
B. Fogelberg ◽  
J. A. Harvey ◽  
M. Mizumoto ◽  
S. Raman
Keyword(s):  
Level Density ◽  
Fermi Gas ◽  
Model Predictions

scholarly journals Fermi gas approach to general rank theories and quantum curves

2020 ◽  
Vol 2020 (10) ◽  
Author(s):  
Naotaka Kubo
Keyword(s):  
Matrix Models ◽  
Critical Role ◽  
Three Dimensional ◽  
Fermi Gas ◽  
Fermi Gases ◽  
Partition Functions ◽  
Density Matrices ◽  
General Rank ◽  
Chern Simons ◽  
The Ideal

Abstract It is known that matrix models computing the partition functions of three-dimensional $$ \mathcal{N} $$ N = 4 superconformal Chern-Simons theories described by circular quiver diagrams can be written as the partition functions of ideal Fermi gases when all the nodes have equal ranks. We extend this approach to rank deformed theories. The resulting matrix models factorize into factors depending only on the relative ranks in addition to the Fermi gas factors. We find that this factorization plays a critical role in showing the equality of the partition functions of dual theories related by the Hanany-Witten transition. Furthermore, we show that the inverses of the density matrices of the ideal Fermi gases can be simplified and regarded as quantum curves as in the case without rank deformations. We also comment on four nodes theories using our results.

scholarly journals Destroying Superfluidity by Rotating a Fermi Gas at Unitarity

2008 ◽  
Vol 100 (7) ◽  
Author(s):  
I. Bausmerth ◽  
A. Recati ◽  
S. Stringari
Keyword(s):  
Fermi Gas

scholarly journals Quantum critical thermal transport in the unitary Fermi gas

2020 ◽  
Vol 2 (2) ◽  
Author(s):  
Bernhard Frank ◽  
Wilhelm Zwerger ◽  
Tilman Enss
Keyword(s):  
Thermal Transport ◽  
Fermi Gas ◽  
Unitary Fermi Gas ◽  
Quantum Critical

Magnetic Moment of a Magnetized Fermi Gas

1968 ◽  
Vol 173 (5) ◽  
pp. 1229-1235 ◽  
Author(s):  
Vittorio Canuto ◽  
Hong-Yee Chiu
Keyword(s):  
Magnetic Moment ◽  
Fermi Gas

Kohn–Sham theory of an atomic Fermi gas

2008 ◽  
Vol 372 (12) ◽  
pp. 2048-2049
Author(s):  
Guilherme S. Nunes
Keyword(s):  
Fermi Gas ◽  
Atomic Fermi Gas
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